Answer:
Step-by-step explanation:
Rocio ha gastado mas. El cubo de Jaime esta mas lleno.
Rocio gasto otro poco mas porque 3 esta mas grande que 2
Solve the inequality. Enter the answer as an inequality that shows the value of
the variable; for example f> 7, or 6 < w. Where necessary, use <= to write <
and use >= to write 2.
v-(-5) <-9
Solve the inequality. v - (-5) < -9 the solution for the inequality is
v < -14What is inequality?Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
How to solve the inequalityThe given algebraic expression is v - (-5) < -9
This is solved as follows
v - (-5) < -9
v + 5 < -9
v < -9 - 5
v < -14
The value of v is -14
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Which of these expressions equal 15 when x = and y = 3?
*There is more than correct answer.
ry+3+201
4 (2y-4r) -1
04r²+2y-10
04 (2²+1) + 2x + 3y
0-14r2
The given are the expressions that are equivalent to 15 for [x] = 1/2 and [y] = 3 :
4(2y - 4x) - 1 4(x² + 1) + 2x + 3yxy + 3[tex]\frac{1}{2}[/tex] + 20xWhat is expression in mathematics?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
Given are the expressions as shown in the image attached.
Let us check the expressions for an equivalent value of 15.
Expression [1] :
4(2y - 4x) - 1
4(2 x 3 - 4 x 1/2) - 1
4(6 - 2) - 1
4 x 4 - 1
16 - 1
15
Expression [2] :
4(x² + 1) + 2x + 3y
4(1/4 + 1) + 2 x (1/2) + 3 x 3
4(5/4) + 1 + 9
5 + 10
15
Expression [3] :
xy + 3[tex]\frac{1}{2}[/tex] + 20x
1/2 x 3 + 7/2 + 20 x 1/2
3/2 + 7/2 + 10
1.5 + 3.5 + 10
15
Therefore, the expressions that are equivalent to 15 when [x] = 1/2 and [y] = 3 are
4(2y - 4x) - 1 4(x² + 1) + 2x + 3yxy + 3[tex]\frac{1}{2}[/tex] + 20xTo solve more questions on functions and expressions, visit the link -
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if you want to know the probability that it is a defective bolt (event c), which formula would you use?
The given probability is based on conditions of two events, hence it is called as conditional probability and it's formula according to the events is option.a [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex]
Bayes' rule is a mathematical theorem that allows you to modify probability statements in response to new information. With this rule, you can reverse the conditional probability statement and find the probability of the first event occurring given the probability of the second event occurring by using the probability of the second event occurring given the probability of the first event occurring.The first event in this case is that the bolt is defective (event C). The second occurrence is that it was selected from the first machine (event A). As a result, given that the bolt is from the first machine, we can state the conditional probability that it is defective.
Hence, the formula is [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex].
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Your question is incomplete , here is the complete question
In a factory that manufactures bolts, the first machine manufactures 70% of the bolts and a second machine manufactures the remaining 20%. The percentage of defective bolts is 3% and 5%, respectively.An employee picks a bolt off a shelf at random and it is from the first machine (event A).If you want to know the probability that it is a defective bolt (event C), which formula would you use?
[tex]a.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}\\\\b.\ p(\frac{A}{C})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\c.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\d.\ p(\frac{A}{C})=\frac{p(\frac{C}{A}).p(A)}{p(C)}[/tex]
A square rug has an area 66 ft2. Write the side length as a square root. Then decide if the side length is a rational number.
Answer:
sqrt66
Step-by-step explanation:
Area of a square is
A = s^2
Here, the area is 66.
66 = s^2
Squareroot both sides to solve.
sqrt66 = s
The side of the square is sqrt66 ft.
This number, sqrt66 is not a rational number because 66 is not a perfect square. Sqrt64 is 8, sqrt81 is 9. But sqrt66 is 8.1240384046 (continuing, neverending, never repeating decimal)
That is not rational.
Lee always uses the y-axis as her vertical line when testing whether a graph represents a function. Why is this strategy flawed? A The y-axis is a horizontal line. B The y-axis is infinitely long. C The y-axis is exempted from the vertical line test. D The y-axis only tests whether x = 0 has been mapped to more than one y coordinate
Answer:
D) The y-axis only tests whether x = 0 has been mapped to more than one y coordinate.
Step-by-step explanation:
The y-axis is a vertical line and intersects the x-axis (horizontal line) at the origin (0, 0) when both x and y are zero.
Vertical line test
A graph represents a function if and only if all vertical lines intersect the graph at most once.
Therefore, the strategy of using only the y-axis as the vertical line in the vertical line test is flawed because the y-axis only tests whether x = 0 has been mapped to more than one y-coordinate.
I’m GIVING BRANILYIST HELPPPP apple seed=1
Apple seeds Johnny planted
at each location
Charleston Louisville Richmond
Location
What is the range of apple seeds planted?
apple seeds
Springfiel
Answer: range is 4.
Step-by-step explanation:
highest apples: 6 at springfield.
lowest apples: 2 at charleston.
subtract.
6-2=4.
I understand A and B but I do not understand what they are asking for C. I have no idea what the answer is, please help! Thanks
Mike sells grapes at a farmers market. Each pound of grapes sells for the same amount. The table below shows the total prices for different numbers of pounds of grapes sold.
Grapes
Number of Pounds Sold Total Price ($)
2 $4.50
4 $9.00
10 $22.50
A. Write an equation that describes the relationship between the number of pounds of grapes sold(x) and the total price (y), in dollars.
Mike also sells red peppers at the farmers market. The equation below can be used to find the total price (p) in dollars of r pounds of red peppers.
p = 1.80r
B. What is the total price, in dollars, of 17 pounds of red peppers? Explain what the 1.80 represents in the context of the situation.
The farmer decides to increase the price per pound of the grapes. A graph is created to represent both the original equation from Part A and a new equation based on the increased price per pound of the grapes.
C. Thinking about what this graph would look like, explain why the graphs representing the equations will share one point even though the prices per pound are different.
A. The relationship between the number of pounds of grapes sold (x) and the total price (y) can be described by the equation y = 2.25x.
The required details for pounds in given paragraph
This equation can be derived from the data in the table by substituting the values for x and y and solving for the coefficient 2.25. For example, for x = 2 pounds of grapes, we have y = $4.50, so 4.50 = 2.25 * 2. Similarly, for x = 4 pounds of grapes, we have y = $9.00, so 9.00 = 2.25 * 4. We can use this equation to find the total price for any number of pounds of grapes sold.
B. The total price of 17 pounds of red peppers is $31.60. The 1.80 in the equation p = 1.80r represents the price per pound of red peppers. In this case, 1.80 dollars is the price per pound of red peppers, and r is the number of pounds of red peppers that are being purchased. Therefore, the total price of r pounds of red peppers is equal to 1.80 dollars per pound multiplied by the number of pounds of red peppers being purchased.
C. The graphs representing the equations for the original and increased price per pound of grapes will share one point because the two equations will be tangent to each other at that point.
what is pound?
A pound is a unit of weight that is commonly used in the United States and some other parts of the world. It is defined as the weight of a standard reference object, called the international pound, which is kept at the International Bureau of Weights and Measures in France.
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A pair of linear equations is shown: y = −3x + 5 y = x + 2 Which of the following statements best explains the steps to solve the pair of equations graphically? On a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1. On a graph, find the point of intersection of two lines; the first line has y-intercept = −3 and slope = 5, and the second line has y-intercept = 1 and slope = 2. On a graph, find the point of intersection of two lines; the first line has y-intercept = −5 and slope = 3, and the second line has y-intercept = −2 and slope = −1. On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope = −5, and the second line has y-intercept = −1 and slope = −2
The solution to this pair of equations is the point (2, -1).
Which of the above phrases best describes the stages involved in solving the two equations graphically?On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope = −5, and the second line has y-intercept = −1 and slope = −2.To solve these equations graphically, plot both lines on the same graph. For the first equation, plot the y-intercept at (0, 3) and plot each additional point using the slope of -5. For the second equation, plot the y-intercept at (0, -1) and plot each additional point using the slope of -2.Connect the points of each line to create two lines. The point of intersection of the lines is the solution to the pair of equations. The solution to this pair of equations is the point (2, -1).To learn more about linear equations graphically refer to:
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Question
Solve for x.
3/5(x−7/10)=−314
Enter your answer as a mixed number in simplest form in the box.
x =
Answer:
x = -522 19/30
Step-by-step explanation:
To solve for x, distribute the 3/5. This gives us 3/5x - 21/50 = -314. Add over 21/50 to the other side, allowing for 3/5x to equal -313 29/50. Divide by 3/5 on both sides and we get x equal to -522 19/30. This is the final answer as a mixed number and is also in simplest form.
A bag contains four red cards numbered 1 through 4, four white cards numbered 1 through 4, and four black cards numbered 1
hrough 4. You choose a card at random.
The number of possible outcomes in the sample space is
Answer:
64 possible outcomes
Step-by-step explanation:
Since the bag contains four red cards, four white cards, and four black cards, each with a unique number from 1 to 4, there are a total of 4 * 4 * 4 = <<444=64>>64 possible outcomes in the sample space. This means that there are 64 possible cards that could be chosen, and each of these is an equally likely outcome.
Jocelyn has a points card for a movie theater.
She receives 25 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
She needs at least 170 points for a free movie ticket.
Write and solve an inequality which can be used to determine v, the
number of visits Jocelyn can make to earn her first free movie ticket.
Answer:
12 visits.
Step-by-step explanation:
Jocelyn receives a flat 25 reward point, and 12.5 points for each visit. She wants to redeem a free movie ticket that costs 170 points.
Set the equation. Let "each visit" be denoted by the variable, x:
12.5 per visit + a flat 25 reward point ≥ Free movie ticket that costs 170 points.
12.5x + 25 ≥ 170
Isolate the variable, x. Note that what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 25 from both sides of the equation:
12.5x + 25 ≥ 170
12.5x + 25 (-25) ≥ 170 (-25)
12.5x ≥ 170 - 25
12.5x ≥ 145
Next, divide 12.5 from both sides of the equation:
(12.5x)/12.5 ≥ (145)/12.5
x ≥ 145/12.5
x ≥ 11.6
x ≥ 11.6 is your answer. Therefore, Jocelyn would have to make 12 trips to earn her first free movie ticket.
~
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Which of the following properties must a relation have in order to be considered an equivalence relation?
A. symmetry
B. reflexivity
C. transitivity
All symmetry, reflexivity, and transitivity are required for an equivalence relationship.
What is equivalence?In mathematics, equivalence refers to the quality of elements of a group or in a set that share common features.
What are the requirements for an equivalence relationship?To have an equivlance relationship, three requirement are needed:
Symmetry: This can be expressed as a = a and this shows the elments at both sides of the equal symbol can be considered as equivalent.Reflexivity: This can be expressed as a = b then b = a. This property similar to the first property shows sets of numbers are related and equivalent.Transivity: This property can be expressed as If a = b and b = c then a = c. This property implies that if a is equivalent to b, and b is equivalent to c, then it can be concluded a is equivalent to c.Learn more about symmetry in: https://brainly.com/question/1597409
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forty percent (40%) of consumers believe that cash will be obsolete in the next twenty years. assume that 8 consumers are randomly selected. find the probability that:
The probability that less than three of the chosen consumers think that currency won't be used in 20 years is 0.293.
According to the statement, 40% of consumers think cash will be unnecessary in 20 years. Let us assume that eight consumers are chosen at random.
We need to determine the likelihood that fewer than three of the chosen consumers think currency will be obsolete in 20 years.
We will use the properties of probability distribution in the given scenario.
We know that for randomly selected variable the properties of combination are used.
P(X=1) + P(X=2) = C¹₈ × 40 × 60⁷ + C²₈ × 40² × 60⁶
P(X=1) + P(X=2) = 0.293
Therefore, there is a 0.293 percent chance that fewer than 3 of the chosen customers think that cash will be obsolete in 20 years.
The ratio of likely outcomes to all scenarios that are feasible, to all possible outcomes is called probability.
Normal distributions are crucial to statistics because they are commonly used in the natural and social sciences to describe real-valued random variables with uncertain distributions. They are important in part because of the central limit theorem.
This claim asserts that under certain conditions, the average of many samples (observations) of a random variable without finite mean and variance is itself a random variable, whose distribution converging to either a normal distribution as the number of samples increases.
Disclaimer: The complete question is :
40% of consumers believe that cash will be obsolete in the next 20 years. Assume that only 8 consumers are randomly selected. Find the probability that less than 3 of the selected consumers believe that cash will be obsolete in the next 20 years .
(Round to three decimal places as needed.)
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Given AB CD , what is the m∠ x and m∠ y in this diagram?
Justify your answer using geometry vocabulary.
Answer:
m∠ x is 130° and m∠ y is 130°
Step-by-step explanation:
Based on the drawn example I gave would explain why
So because ∠AGF = ∠CHF that would make these two angles Corresponding angles and corresponding angles are congruent
Thus making ∠AGH or m∠ x equals 130°
Now we look at ∠DHE and ∠AGF these two angles would be classified as Alternate interior angles which would make them congruent to each other aswell
Thus making ∠DHG or m∠ y equals 130°
Reason also includes the fact that m∠ x and m∠ y would be alternate interior angles also
Brian started cleaning at 3:33 PM and finished at 4:21 PM. How long did it take him.
Brian started cleaning at 3:33 PM and finished at 4:21 PM. The correct answer is 48 minutes
How did we figure this out?First, we are figuring out what is given we are counting numbers or we can add to get to 4:21 PM.
Counting numbers:
[tex]\boxed{3:33=3:34=3:35=3:36=3:37=3:38=3:39=3:40 }[/tex]
Add the numbers:
[tex]\boxed{3:33+7=3:40+10=3:50+10=4:00+21=4:21}[/tex]
If we add the numbers it would be faster.
Therefore, when we add we get are answer.
Therefore, Brian started cleaning at 3:33 PM and finished at 4:21 PM. The correct answer is 48 minutes
Answer:
48
Step-by-step explanation:
in a school walking club, a teacher awards t-shirts to those students who complete their goal of walking 50 miles during a semester. the act of awarding t-shirts to the students is an example of a(n) .
The given statement "a teacher awards t-shirts to those students who complete their goal of walking 50 miles during a semester " is the example for tangible reinforcers.
Tangibles serve as a visual reminder for employees to keep an eye out for desired behaviours and then provide specific positive feedback. . This aided you in completing your assignment quickly and correctly. "You have earned a Tiger Ticket because you followed directions," can improve the student-teacher relationship. You can give the student positive specific feedback without using a tangible (ticket, token, etc.), but a tangible must always be accompanied by positive specific feedback.
Hence, the given statement is an example of tangible reinforcers
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Just Part C because I already did the other two parts
The equation of g(x) after the transformation is given as follows:
g(x) = 192x^5 - 36x² + 12.
How to obtain the equation of g(x)?The equation for function g(x) is obtained applying the rules for each transformation to the parent function f(x).
The parent function f(x) in this problem is defined as follows:
f(x) = 2x^5 - 3x² + 4.
The first transformation is an horizontal shrink by a factor of 1/2, hence the rule for this transformation is described as follows:
g(x) = f(2x).
Thus:
g(x) = 2(2x)^5 - 3(2x)² + 4
g(x) = 64x^5 - 12x² + 4.
The vertical stretch by a factor of 3 means that all these coefficients are multiplied by 3, that is:
g(x) = 3(64x^5 - 12x² + 4).
Applying the distributive property, we have that:
g(x) = 192x^5 - 36x² + 12.
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the value of x is one quarter of z. the sum of x, y, and z is equal to 26. if the value of y is twice the value of z, what is the largest factor of the sum of y and z?
The largest factor of the sum of y and z is 24.
What is the benefit of using substitution method?The replacement approach has the advantage of providing the precise values for the variables (x and y), which correspond to the site of intersection.
What is substitution method?When using the "by substitution" method, you must first solve one of the equations provided (you must choose which one) for one of the variables (you must choose which one), after which you must plug this value back into the other equation provided (you must "substitute" for the chosen variable and solve for the other value). The first equation is then used to back-solve for the first variable. The many procedures required in using the replacement approach to solve problems have been described in full above. Use those to discover the solution to a given system of linear equations.
We are given with three equations having three unknowns:
x = z/4
x + y + z = 26
y = 2z
Using the method of substitution, we can now solve for each of the three unknowns.
Since the first equation, x = z/4, is an equation for x in terms of z, and the third equation, y = 2z, is an equation for y in terms of z, we can replace x and y in the second equation by their equivalent expressions as follows:
x + y + z = (z/4) + (2z) + z = 26
We are left with an equation with just one unknown z. We can now solve for z:
(z/4) + (2z) + z = 26
z/4 + 8z/4 + 4z/4 = 13z/4 = 26
z/4 = 2
z = 8
Now that we know z, we can easily solve for y, then compute y + z (note: we can also solve for x, but since we are not interested in the value of x there is no need to do so):
y = 2z = 2(8) = 16
y + z = 16 + 8 = 24
Since the largest factor of any number is the number itself, the largest factor of the sum of y and z is 24.
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Rewrite the equation
(4p+1)(4) Simplify the expression
Answer:
16p + 4
Step-by-step explanation:
the first thing you should do when you simplify an equation is to distribute the parenthesis
4p * 4 + 1 * 4
16p + 4
you cannot simplify any further so that is your answer
Use the values log 128≈ 2.1 and log 4≈ 0.6 to find the approximate value of log4 128.
log, 128
The solution is
The approximate value of [tex]log_4128[/tex] is 3.5.
What is logarithm?
The opposite of exponentiation in mathematics is the logarithm. The exponent to which b must be raised in order to produce a number x is therefore the logarithm of a number x to the base b. For instance, since 1000 = 10^3, log10 of 1000 is 3, or log10 = 3.
Given: log 128≈ 2.1 and log 4≈ 0.6
We have to find the approximate value of [tex]log_4128[/tex].
We know that,
[tex]log_ba = \frac{loga}{logb}[/tex]
Here,
[tex]log_4128 = \frac{log128}{log4}[/tex]
Plug the values of log 128 and log 4
⇒ [tex]log_4128 = \frac{log128}{log4} = \frac{2.1}{0.6} = 3.5[/tex]
Hence, the approximate value of [tex]log_4128[/tex] is 3.5.
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your statistics class has 26 students in it what is the probability that both students are girls given that the second student chosen is a girl
Given that the second student chosen is a girl, the probability that both students are female is 0.175.
The occurrence of likely events is referred to as probability. It is the branch of mathematics concerned with numerical estimates of the likelihood of an event occurring or a statement being true.
Probability is nothing but likelihood of something is to occur. When we are unsure about the outcome of an event, we can discuss the probabilities of certain outcomes—how likely they are.
The probability of selecting a girl from the class is
[tex]= \frac{Number\ of\ girls}{ Total\ number\ of\ students}= \frac{14}{26}\\\\= \frac{7}{13}[/tex]
It is known that the one of the chosen student from 2 students is girl, the probability of having both girls will be:
[tex]= \frac{7}{16} * \frac{6}{15}\\\\= 0.175[/tex]
Hence, the probability is 0.175.
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Your question is incomplete, here is the complete question.
Your statistics class has 26 students in it - 14 girls and 12 boys.Your teacher uses a calculator to select two students at random to solve a problem on the board. Given that the second student chosen is a girl, what is the probability that the first student was also a girl?
Find an equation that fits this question please
Answer:x-25=y
Step-by-step explanation:
u just subtract and put it into equation form
A school dance club is selling bottled water at a football game to raise
funds. The club has raised $26 so far and has the goal of raising $100.
If each bottle of water earns the club an additional $2, which equation can
be used to find the number of bottles of water w that the club needs to sell
to reach their goal?
Step-by-step explanation:
A school dance club is selling bottled water at a football game to raise funds. The club has raised $26 so far and has the goal of raising $100. If each bottle of water earns the club an additional $2, which equation can be used to find the number of bottles of water w that the club needs to sell to reach their goal?
equation:
100 = 2w - 26
solving:
100 = 2w - 26
74 = 2w
w = 37 more bottles
An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t)= -4.9t^2 + 19.6t + 58.8, where s is in meters. How high will the object be after 3 seconds
73.5 ft
98.49 ft
161.7 ft
333.69 ft
The first option is true since the item achieved its maximum height of 73.5 feet.
What does a quadratic equation's vertex form mean?x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem. The answer could be simple or complicated.
This quadratic equation, which has the form y=a(x-h)2 + k, is referred to as being in vertex form. It is so named because the vertex point (peak point) lies on the graph of this equation (h,k)
We may deduce from the facts above that
-4.9 t2 + 19.6 t + 58.8 = 0
The equation will logically fit into the square upon completion.
y = a(x-h)^2 + k
where h will be the time it takes to get to a height of k.
-[tex]4.9t^{2}[/tex] + 19.6t + 58.8 = 0
-[tex]4.9t^{2}[/tex] + 19.6t = - 58.8
-4.9( [tex]t^{2}[/tex] - 4t ) = -58.8
Now take half the linear term, square it, and add it to both sides.
-4.9( [tex]t^{2}[/tex] - 4t ) = -58.8
-4.9( [tex]t^{2}[/tex] - 4t + 4 ) = -58.8 + 19.6
-4.9 [tex](t-2)^{2}[/tex] = - 78.8
s(t) = -4.9 [tex](t-2)^{2}[/tex] + 78.8
now we have t = 3sec
s(t) = 73.5ft
The object reached its maximum height of 73.5 ft, the first choice is correct.
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combine like terms to create an equivalent expression.
-3.6 - 1.9t + 1.2 + 5.1t
Answer:
–2.4 + 3.2t
Step-by-step explanation:
= –3.6 – 1.9t + 1.2 + 5.1t
= –3.6 + 1.2 – 1.9t + 5.1t
= –2.4 + 3.2t
i hope this helped
Help solve now please
1. 16%
8/50 = .16 x 100% = 16%
2. 135 x .16 = $21.6
Write an inequality that represents the solutions on the number lines below.
Answer:
just use the number line
-3<x<4
and
x<3
a study of treatments for angina (pain due to low blood supply to the heart) compared bypass surgery, angioplasty, and use of drugs. the study looked at the medical records of thousands of angina patients whose doctors had chosen one of these treatments. it found that the average survival time of patients given drugs was the highest. what do you conclude?
We can conclude that due to the help of nurses, the survival time of patients given drugs was the highest.
The nurse takes the patient's cardiac output and makes a decision on how the patient will react to the medication.
What types of tasks does a nurse perform?
Registered nurses (RNs) administer and supervise patient care, educate the public about various ailments, and provide psychological support and counseling to patients' relatives. Most nurses collaborate to doctors in a variety of contexts.
How many years do such people live?
People who have access for informal health information as having a nurse or doctor in the parents 10% more likely to remain past the age of 80, according study released in a journal article by that of the Directorate of Economic Research.
Therefore, we can conclude that due to the help of nurses, the survival time of patients given drugs was the highest.
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One angle measures 130°, and another angle measures (8k + 58)°. If the angles are vertical angles, determine the value of k.
Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure, the value of k is 9.
How to find value of k ?Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure. They are formed when two lines intersect, and they are always congruent, or equal in measure.
That if one angle measures 130°, the measure of its vertical angle must also be 130°.
If the other angle has a measure of (8k + 58)°, and it is a vertical angle to the angle that measures 130°, then it must also have a measure of 130°.
We can set up the equation 130 = 8k + 58 and solve for k to find the value of k.
Subtracting 58 from both sides gives us 72 = 8k. Dividing both sides by 8 gives us k = 9.
Therefore, the value of k is 9.
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