Using geometry rules such as Vertically Opposite Angles and Triangle rules for sum of internal and external angles, The answer to the numbered angles in order is : [tex]92^{o} , 30^{o},91^{o},59^{o},57^{o},55^{o},135^{o}[/tex] .
What is a triangle?A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed. It implies that the internal angles of a triangle add up to 180 degrees.
What are the 6 types of triangles?The six types of triangles are:
IsoscelesEquilateralScaleneObtuseAcuteRight.<10 = 62+30 = [tex]92^{o}[/tex] (sum of opposite angle of triangle)
<11=[tex]30^{o}[/tex] (Vertically Opposite angles)
<13=[tex]59^{o}[/tex] (Vertically Opposite angles)
<12 = 180-59-30 = [tex]91^{o}[/tex] (Sum of angle of triangle is 180)
<16 = 59 +76 = [tex]135^{o}[/tex] (sum of opposite angle of triangle)
<14 = 180-59-64 = [tex]57 ^{o}[/tex] (Angle in a straight line is 180)
<15 = 112-57 = [tex]55^{o}[/tex] (sum of opposite angle of triangle)
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Using geometry rules such as Vertically Opposite Angles and Triangle rules for sum of internal and external angles, The answer to the numbered angles in order is :
What is a triangle?
A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed. It implies that the internal angles of a triangle add up to 180 degrees.
What are the 6 types of triangles?
The six types of triangles are:
IsoscelesEquilateralScaleneObtuseAcuteRight.<10 = 62+30 = (sum of opposite angle of triangle)
<11= (Vertically Opposite angles)
<13= (Vertically Opposite angles)
<12 = 180-59-30 = (Sum of angle of triangle is 180)
<16 = 59 +76 = (sum of opposite angle of triangle)
<14 = 180-59-64 = (Angle in a straight line is 180)
<15 = 112-57 = (sum of opposite angle of triangle)
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Rewrite the equation
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
Find the area and the perimeter of rectangle with a length of 8 feet and a width of 6 2/9 feet. Write each answer as a fraction and a decimal. Use bar notation if necessary.
Answer:
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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3 ft
5 ft
4 ft
5 ft
Find the area of this figure.
Round your answer to the
nearest hundredth. Use
3.14 to approximate ™.
A = [?] ft²
Answer:
26.14 ft²
Step-by-step explanation:
The area of the two triangles is 2*(1/2*3*4) = 12 ft².
The area of the semicircle is 1/2*π*3² ≈ 14.14 ft².
The total area is 12 + 14.14 = 26.14 ft².
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.
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
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.
Find the zero of the function f(x)= 4x+8
Answer:
x = -2
Step-by-step explanation:
Solve for x:
4 x + 8 = 0
Subtract 8 from both sides:
4 x + (8 - 8) = -8
8 - 8 = 0:
4 x = -8
Divide both sides of 4 x = -8 by 4:
(4 x)/4 = (-8)/4
4/4 = 1:
x = (-8)/4
8/4 = (4×2)/4 = 2:
Answer: x = -2
Answer:
The zero of the function is at x = -2
Step-by-step explanation:
Determine if the solution is rational or irrational.
√8+ √8
Rational
Irrational
Answer:
Irrational
Step-by-step explanation:
[tex]\sqrt{8} =\sqrt{4 \cdot 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2}[/tex] and this is irrational
So [tex]\sqrt{8} + \sqrt{8} = 2\sqrt{8} = 2 \cdot 2\sqrt{2} = 4\sqrt{2}[/tex] which is irrational
(adding an irrational number to anything gives an irrational number)
What's the slope of the line connecting (-3, -6) and (-6, -8)? (You may enter your answer as a fraction. Otherwise, round
your answer to 2 decimal places.)
Answer:
Two-thirds
Step-by-step explanation:
slope is
∆y/∆x = (y2-y1) divided by (x2-x1)
= (-8-(-6)) divided by (-6-(-3))
= -2 divided by -3
= 2/3
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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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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What value of x makes this equation true?
12x -15 = 6 -3x
Answer:
1.4
Step-by-step explanation:
12x-15=6-3x
+3x +3x
15x-15=6
+15 +15
15x=21
/15. /15
x=1.4
hopes this helps
Answer:
1.4
Step-by-step explanation:
12x-15+3x=6
15x-15=6
15x=6+15
15x=21
x=21:15
x=1.4
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 fair spinner has 9 equal sections: 4 red, 3
blue and 2 green.
It is spun twice.
What is the probability of getting the same
colour twice?
the probability to get two consecutive reds will be 19.75%.
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
A fair spinner has 9 equal sections: 4 red, 3 blue and 2 green.
The probability of not getting two consecutive red is 1 minus the probability of getting two consecutive greens. Since the spinner is fair, the probability of getting a green on any one spin is 4/9
Since consecutive spins are independent, the probability of getting two consecutive red is (4/9)² = 16/81= 19.75%
Hence the probability to get two consecutive reds will be 19.75%.
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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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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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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
A 30" stainless steel smooth-top electric range is on
sale for $479.99, a savings of 20% off the regular price. Find the
regular price.
$600 is the regular price of the stainless steel
How to determine the regular price?Percentage simply means the number or ratio that can be expressed as a fraction of 100. In this case, when we have to calculate percent of a number, we then divide the number by the whole and multiply by 100.
Given: Sales price with discount = $479.99, savings = 20% off. This implies there is a 20% discount.
Let P represent the regular price. Thus, we can write:
P - (20% of P) = $479.99
P - 0.2P = 479.99
0.8P = 479.99
P = 479.99 / 0.8
P = $599.9875 ≈ $600
Thus, the regular price of the stainless steel is $600
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(a) find the area of r. (b) region r is the base of a solid. for the solid, each cross section perpendicular to the x-axis is a square. write, but do not evaluate, an expression involving one or more integrals that gives the volume of the solid. (c) the horizontal line y k divides r into two regions of equal area. write, but do not solve, an equation involving one or more integrals whose solution gives the value of k
The area of region R is given by the integral ∫[0,5] (x^2+2) dx = 41.6667,The volume of the solid is given by the integral ∫[0,5] (x^2+2)^2 dx and the equation to find the value of k is given by the equation ∫[0,k] (x^2+2) dx = ∫[k,5] (x^2+2) dx.
a) We must integrate the function (x2+2) over the range [0,5] in order to determine the area of region R. The ensuing integral provides this information:
∫[0,5] (x^2+2) dx = 41.6667
b) To get the solid's volume, we must integrate the function (x2+2)2 over the range [0,5]. The ensuing integral provides this information:
∫[0,5] (x^2+2)^2 dx \sc) We must construct an equation that asserts that the area of the region below the line y=k is equal to the area of the region above the line y=k in order to get the value of k. The following equation yields this:
∫[0,k] (x^2+2) dx = (x2 + x2)[k,5] dx
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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.
The graph of the parent function f(x) = x3 is transformed such that g(x) = f(-2x³). How does the graph of g(x) compare
to the graph of f(x)?
The transformation from the parent function are (a) g(x) is horizontally stretch by 1/2 and reflected across the y-axis
How to describe the transformation from the parent function?From the question, we have the following function that can be used in our computation:
f(x) = x³
g(x) = (-2x)³
First, we have the transformation to be:
From f(x) = x³ to f'(x) = (−x)³
This means the function is reflected across the y-axis
So, we have the following representation
f'(x) = f(-x)
Next, we have:
From f'(x) = (−x)³ to g(x) = (−2x)³
This means the function is horizontally stretched by a factor of 1/2
Hence, the transformation is reflection across the y-axis and horizontally stretch by 1/2
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you want to use the summarize() and mean() functions to find the mean rating for your data. add the code chunk that lets you find the mean value for the variable rating. 1 reset what is the mean rating? 1 point 4.230765 3.995445 3.185933 4.701337
You want to use the summarize() and mean() functions to find the mean rating for your data. add the code chunk that lets you find the mean value for the variable rating. 1 reset. the mean rating is 3.185933
How to find the mean rating?To determine the mean value for the variable Rating, you must add the code snippet summarize(mean(Rating)). Trimmed flavors df%>% summarize(mean(Rating)) is the right code. In this section of code:
You can display summary statistics using the summarize() method. To generate specific statistics, you can combine the summarize() method with others like mean(), sd(), and max().
In this instance, you compute the mean value for the variable Rating using the mean() function.
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Find 10(-3)(4) - (-15)
The expression is simplified to -105
What is an integer?An integer can be defined as a whole number, with no fractional or decimal form which can be positive, negative or zero.
Negative integer values are the additive inverses of their corresponding positive numbers.
Integers are a collection of whole numbers and negative values.
The types of integers are;
Positive integersNegative integersZeroFrom the information given, we have;
10(-3)(4) - (-15)
expand the bracket
10(-12) - ( -15)
expand further
-120 + 15
Add the values
-105
Hence, the value is -105
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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.
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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Write an inequality that represents the solutions on the number lines below.
Answer:
just use the number line
-3<x<4
and
x<3