Which set of coordinates models the image of the triangle after a translation along <2, −9>?
A) M’(−5, 16), N’(−2, 13), P’(0, 15)
B) M’(−1, −2), N’(2, −5), P’(4, −3)
C) M’(−5, −2), N’(−2, −5), P’(0, −3)
D) M’(−1, 16), N’(2, 13), P’(4, 15)
Answers
Answer:
b
Step-by-step explanation:
i know
The solution is Option B.
The translation of triangle MNP along T < 2 , -9 > is
M’(−1, −2), N’(2, −5), P’(4, −3)
What is Translation?
A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
The notation for translation is T(h, k) where T is the translation, h is the change in the x-axis, and k is the change in the y-axis
Given data ,
Let the translated triangle be represented as ΔM'N'P'
Now , the translation rule is T < 2 , -9 >
Let the coordinates of the triangle ΔMNP be
The coordinates of M = M ( -3 , 7 )
The coordinates of N = N ( 0 , 4 )
The coordinates of P = P ( 2 , 6 )
Now , applying the translation rule of T < 2 , -9 > for the triangle MNP , we get
The coordinates of M' = M' ( -3 + 2 , 7 - 9 )
The coordinates of M' = M' ( -1 , -2 )
The coordinates of N' = N' ( 0 + 2 , 4 - 9 )
The coordinates of N' = N' ( 2 , -5 )
The coordinates of P' = P' ( 2 + 2 , 6 - 9 )
The coordinates of P' = P' ( 4 , -3 )
Hence , the coordinates of triangle M'N'P' is M’(−1, −2), N’(2, −5), P’(4, −3)
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Related Questions
Which of the following expressions are equivalent to 16/24? Select all that apply.
Answers
After evaluation, we can conclude that the expression (E) 8/2 * 2/12 is equivalent to the given expresion 16/24.
What are expressions?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
It's possible to multiply, divide, add, or subtract with this mathematical operation.
You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.
So, we have the expression:
16/24
We need to find the equivalent expression from the options as follows:
So, let's take option (E) as it seems the answer and evaluation is:
8/2 * 2/12 (Be LHS)
Now, multiply:
8/2 * 2/12 = 16/24
16/24 = 16/24
Therefore, after evaluation, we can conclude that the expression (E) 8/2 * 2/12 is equivalent to the given expression 16/24.
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what is the product of each equation?
[tex]\left(3a^{2}b^{4}\right)\left(-8ab^{3}\right)[/tex]
[tex]\left(3a^{2}b^{7}\right)\left(5a^{3}b^{8}\right)[/tex]
[tex]\left(-2d^{2}+s\right)\left(5d^{2}-6s\right)[/tex]
[tex]\left(3x-6\right)\left(2x^{2}-7x+1\right)[/tex])
[tex]\left(7x^{2}y^{3}\right)\left(3x^{5}y^{8}\right)[/tex]
[tex]\left(y^{2}+3y+7\right)\left(8y^{2}+y+1\right)[/tex]
[tex]\left(4s+2\right)\left(5s^{2}+10s+3\right)[/tex]
Answers
The solution to the products of exponents is as follows;
1) -24a³b⁷
2) 15a⁵b¹⁵
3) -10d⁴ + 17sd² - 6s²
4) 6x³ - 33x² + 45x - 6
5) 21x⁷y¹¹
6) 8y⁴ + 25y³ + 60y² + 10y + 7
7) 20s³ + 50s² + 32s + 6
How to find product of exponents?The Product of Powers Property of exponents states that when we multiply two powers with the same base, we add the exponents.
1) (3a²b⁴) * (-8ab³)
= -24a³b⁷
2) (3a²b⁷) * (5a³b⁸)
= 15a⁵b¹⁵
3) (-2d² + s)(5d² - 6s)
Expanding the bracket to get;
(-10d⁴ + 5sd² + 12sd² - 6s²)
= -10d⁴ + 17sd² - 6s²
4) (3x - 6) * (2x² - 7x + 1)
= 6x³ - 33x² + 45x - 6
5) (7x²y³) * (3x⁵y⁸)
= 21x⁷y¹¹
6) (y² + 3y + 7) * (8y² + y + 1)
= 8y⁴ + 25y³ + 60y² + 10y + 7
7) (4s + 2) * (5s² + 10s + 3)
= 20s³ + 50s² + 32s + 6
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cory has $3$ apples, $2$ oranges and $2$ bananas. if cory eats one piece of his fruit per day for a week and the pieces of fruit within each category are indistinguishable, in how many orders can cory eat the fruit? one such order is $aaaoobb.$
Answers
Then the orders can Cory eat the fruit is = 25
Given that,
If Cory has eat apples = 3$
If Cory has eat oranges = 2$
If Cory has eat bananas = 2$
Total eat fruits = 3 + 2 + 2
Total eat fruits = 7$
We have to express the amount of total fruits as an equation.
The amount of apples will be x,
The amount of oranges will be y,
The amount of bananas will be z
The amount of apples multiplied by 7 because they ate each day of the week.
7*(x) + y + z = now we have to replace the values of x, y and z with the ones that gave us the problem
Then,
x = 3
y = 2
z = 2
So,
We can write,
7*(x) + y + z = 7 *(3) + 2 + 2
= 21 + 2 + 2
= 25
Therefore,
Then the orders can Cory eat the fruit is = 25
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y = -2x + 1
4x + y = 9
Solve the system of equations without graphing. Show all the math steps needed to find the solution to this system.
Answers
Answer:
x =4 & y = -7
Step-by-step explanation:
this is the right answer
-8x - 5(-5x - 1) - 7 = 3(x − 3)
Answers
Answer:
-8x+25x+5-7=3x-9
or ,17x -2=-9+2
or, -14x=-7
or, x=-7/-14
x=1/2
Answer:
-8x +25x +5-7=3x-9
17x-2 = 3x-9
17x-3x=9+2
14x =11
x= 14/11
1. Given a mean of 165 and a standard deviation of 4, use the empirical rule to answer the following questions: a. What percent is less than 161? b. What percent is more than 173? c. What percent is between 157 and 169? d. What is the 84 th percentile?
Answers
Using a mean and standard deviation as inputs, the following formula can be used to get the percentile of a normal distribution:
Percentile Value is equal to z +.
What is standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.
While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.
The lower case Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation.
Standard deviation may be written as SD.
A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance.
Though in algebra, it is simpler
According to our question-
a. 157 is less then 161
b. n>173, n be a real number.
Hence, Using a mean and standard deviation as inputs, the following formula can be used to get the percentile of a normal distribution: Percentile Value is equal to z +.
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Trent and his family are heading to Perfect Putt Mini-Golf. They plan to purchase the group package. With the package, the cost per person is $3 less than the normal cost for an individual. There are 6 people in Trent's family. His mom called ahead and found that the total cost for the family will be $30.
Which equation can you use to find the normal cost, x, for an individual?
3x-6=30
6(x-3)=30
6x-3=30
3(x-6)=30
Answers
6(x-3)=30
EXPLANATION:
I did the math and I’m really good at math.
The library sponsors a chess club for members of all ages and skill levels. Currently, the ages of the members are 7, 9, 10, 11, 13, 14, 15, 16, 18, 19, 20, 21, and 22. The librarian uses a histogram to track the number of members in different age groups. For this situation, which is the appropriate way to label the age intervals on the x-axis?
Answers
Answer:
B. 7−10; 11−14; 15−18; 19−22
Step-by-step explanation:
Find the sum of 5.21 × 1019 and 3.149 × 1017.
A. 8.359 × 1019
b. 5.24149 × 1019
c. 5.24149 × 1036
d. 8.359 × 1036
Answers
Answer:
B
Step-by-step explanation:
5.21 x 10^19 + 3.149 x 10^17
10^17(5.21 x 10^2 + 3.149)
10^17(521 + 3.149)
10^17(524.149)
5.24149 x 10^17 x 10^2
5.24149 x 10^(17+2)
5.24149 x 10^19
Answer: b. 5.24149 × 1019
Step-by-step explanation: I took the test
Using composition of functions, determine if the two functions are inverses of each other. , x ≥ 0 , x ≥ 2 A. No, because the functions contain different operations. B. No, because the composition does not result in an answer of x. C. Yes, because F(x) is equal to –G(x). D. Yes, because the composition results in an answer of x for x ≥ 2.
Answers
The correct option regarding whether the two functions are inverse functions is given as follows:
B. No, because the composition does not result in an answer of x.
How to verify if the two functions are inverses of each other?Two functions are inverses of each other if the composition of these two function has a result of x.
From the image given at the end of the answer, the two functions in this problem are defined as follows:
[tex]F(x) = \sqrt{x} + 4, x \geq 0[/tex]G(x) = x² - 4, x ≥ 2.Their composition is given as follows:
[tex](G \circ F)(x) = G(\sqrt{x} + 4)[/tex]
[tex](G \circ F)(x) = (\sqrt{x} + 4)^2 - 4[/tex]
[tex](G \circ F)(x) = x + 8\sqrt{x} + 16 - 4[/tex]
[tex](G \circ F)(x) = x + 8\sqrt{x} + 12[/tex]
The composition does not result in x, hence the two functions are not inverses and the correct statement is given by statement B.
The problem is given by the image shown at the end of the answer.
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if the odds on a particular football team winning a bowl game are 2:3 that means the percent chance that the team will win is:
Answers
There will be 40% chance that the team will win.
Odds, are given as (chances for success) : (chances against success) or vice versa.
If odds are stated as an A to B chance of winning then the probability of winning is given as P(winning) = A / (A + B) while the probability of losing is given as P(Losing) = B / (A + B).
For 2 to 3 odds for winning:
P(winning) = 2/2+3
= 2/5
= 0.4
⇒ The percent chance of winning is 40.
Therefore, 40% is the required answer.
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49: 1 of 1 question 2 with 1 blank 97: 1 of 1 question 3 with 1 blank 113: 1 of 1 question 4 with 1 blank 632: 1 of 1 question 5 with 1 blank 1.781: 1 of 1 question 6 with 1 blank 3.558: 1 of 1 question 7 with 1 blank 1.006.015: 1 of 1 question 8 with 1 blank 67.224.370: 1 of 1 3
Answers
Spanish is a Romance language of the Indo-European language family that emerged from the Iberian peninsula's colloquial Latin. It is now a worldwide language with around 500 million native speakers, primarily in the Americas and Spain. Twenty nations have Spanish as their official language.
These numbers in Spanish are:
1. 49: cuarenta y nueve
2. 97: noventa y siete
3. 113: ciento trece
4. 632: seiscientos treinta y dos
5. 1.781: mil setecientos ochenta y uno
6. 3.558: tres mil quinientos cincuenta y ocho
7. 1.006.015: un millon seis mil quince
8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta
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Answer:
49: cuarenta y nueve
2. 97: noventa y siete
3. 113: ciento trece
4. 632: seiscientos treinta y dos
5. 1.781: mil setecientos ochenta y uno
6. 3.558: tres mil quinientos cincuenta y ocho
7. 1.006.015: un millon seis mil quince
8. 67.224.370: sesenta y siete millones doscientos veinte y cuatro mil trescientos setenta
Step-by-step explanation:
Which number line shows the solutions to n > -2?
++++
+
-6-5-4-3-2-1 0 1 2 3 4 5 6
←++++
H
-6-5-4-3 -2 -1 0 1 2 3 4 5 6
+++
++++++
-6-5-4-3-2-1 0 1 2 3 4 5 6
+++++
-6-5-4-3-2-1 0 1 2
3 14 5 6
Done -
2
Answers
Yujin Pon has a principal of $900 in her savings Iccount on October 1. The money earns interest at a rate of 6.5% compounded quarterly until July 1 of the following year. What is the amount in the account on July 1?
а.$914.63
b. $943.75
c.$943.87
d. $944.59
Answers
Answer: The correct answer is c. $943.87.
Step-by-step explanation: To solve this problem, we need to first determine the length of time between October 1 and July 1 of the following year. This is a period of 9 months, or 3 quarters. We can then use this information to calculate the amount of interest earned over this time period.
The principal in Yujin Pon's account is $900, and the interest rate is 6.5% compounded quarterly. This means that for each quarter, the account will earn 6.5/4 = 1.625% in interest. Over the 3 quarters between October 1 and July 1 of the following year, the account will earn a total of 1.625% * 3 = 4.875% in interest.
To calculate the amount of interest earned, we can multiply the principal by the interest rate:
Interest = Principal * Interest Rate
= $900 * 0.04875
= $43.87
The total amount in the account on July 1 will be the original principal plus the amount of interest earned over the 3 quarters:
Total = Principal + Interest
= $900 + $43.87
= $943.87
Therefore, the correct answer is c. $943.87.
browns are expected to win with probability of 60% against their opponent, while steelers are also expected to win with probability of 40% against their opponent. the outcome of each game can be either a win or a loss (i.e., no ties). if you bet $10 on one of these two teams to win and another one to lose, no matter which one wins or loses, i.e., your bet is that only one team (browns or steelers) wins, what net payout will you be promised in a fair betting game in case your bet works out?
Answers
Net payout will you be promised in a fair betting game in case your bet works out is $0 .
Given :
browns are expected to win with probability of 60% against their opponent, while steelers are also expected to win with probability of 40% against their opponent. the outcome of each game can be either a win or a loss (i.e., no ties). if you bet $10 on one of these two teams to win and another one to lose, no matter which one wins or loses, i.e., your bet is that only one team (browns or steelers) wins .
P ( browns ) = 60 / 100 = 0.60
P ( steelers ) = 40 / 100 = 0.40
Net payout = Number of wins * 10 - Number of loses * 10
= 1 * 10 - 1 * 10
= 10 - 10
= $0.
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PLEASE EXPLAIN WHY YOU GOT YOUR ANSWER PLEASEE!!!!
When Skip was a puppy, he weighed 5.6 lbs. When he visited the vet, he weighed 13.3 lbs. How much weight did Skip gain between the time he was a puppy and his vet visit?
Answers
Answer:
7.7
Step-by-step explanation:
I got this by subtracting 13.3 - 5.6
Name the property of real numbers illustrated by the equation. -2(x 4)=-2x-8
Answers
Distributive property of real numbers illustrated by the equation. -2(x 4)=-2x-8
The equation -2(x 4)=-2x-8 is an example of the distributive property of real numbers. This property states that when a number is multiplied by a group of numbers that are being added together, the number can be distributed to each of the terms in the group. To rewrite this equation as -2x + (-2)(-4) = -2x - 8, the number -2 is allocated to each of the terms in the group (x and -4) in this equation.Simplifying further, we get -2x - 8 = -2x - 8.
-2(x 4) = -2x - 8
Distribute -2 to each term in the group
-2x + (-2)(-4) = -2x - 8
Simplify
-2x - 8 = -2x – 8
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Let f(x) = e ^ (6x) and g(x) = 8in(x) Find and simplify g(f(- 2)) -96 -48 48 C B A
Answers
Answer: g(f(-2))=-96
Step-by-step explanation:
[tex]Given: \ f(x)=e^{6x}\ \ \ \ g(x)=8ln(x)\ \ \ \ g(f(-2))=?\\\\f(-2)=e^{6*(-2)}\\\\f(-2)=e^{-12}\\\\Hence,\\\\g(f(-2))=8ln(e^{-12})\\\\g(f(-2))=8*(-12)\\\\g(f(-2))=-96[/tex]
Answer:
-96
Step-by-step explanation:
Given:
[tex]\begin{cases}f(x)=e^{6x}\\ g(x)=8 \ln (x) \end{cases}[/tex]
To find g[f(-2)], substitute x = -2 into the function f(x):
[tex]\implies f(-2)=e^{6 \times -2}=e^{-12}[/tex]
Then substitute the function f(-2) in place of the x in function g(x):
[tex]\implies g[f(-2)]=8 \ln \left(e^{-12}\right)[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\begin{aligned}\implies g[f(-2)]&=-12\cdot 8 \ln \left(e\right)\\&=-96 \ln \left(e\right)\end{aligned}[/tex]
Apply the log law: ln(e) = 1
[tex]\begin{aligned}\implies g[f(-2)]&=-96 \ln \left(e\right)\\&=-96(1)\\&=-96\end{aligned}[/tex]
---------------------------------------------------------------------
As one calculation:
[tex]\begin{aligned}g[f(-2)]&=8 \ln \left(e^{6 \times -2}\right)\\& = 8 \ln \left(e^{-12}\right)\\& = -12 \cdot 8 \ln \left(e\right)\\& = -96(1)\\& = -96\end{aligned}[/tex]
Select the correct answer. Solve the following inequality. 21 ≤ -3(x − 4) < 30 A. -3 ≤ x < 6 B. -10 < x ≤ -3 C. 28 ≤ x < 37 D. -6 < x ≤ -3
Answers
Answer:
D. -6 < x ≤ -3
Step-by-step explanation:
21 ≤ -3(x − 4) < 30
21/3 ≤ -3(x − 4)/3 < 30/3
7 ≤ -(x − 4) < 10
7 ≤ -x - (-4) < 10
7 ≤ -x + 4 < 10
7 - 4 ≤ -x + 4 - 4 < 10 - 4
3 ≤ -x < 6
(3 ≤ -x < 6)/(-1)
-3 >= x > -6 ==> when dividing by a negative number, switch the inequality
sign
-6 < x ≤ -3 ==> D
HELP ME PLEASE!!
I HAVE NO IDEA WHAT IM DOING!!
A. 36
B. 54
C. 72
D. 18
Answers
Answer:
72
Step-by-step explanation:
We are told that line AC divides angle BAE in half or "bisects" it. We are also told that line AD divides angle CAE in half as well. Lastly we are giving the value of angle DAE which is 36.
Since line DA split angle CAE in half and we have half of the value, that means that the measure of angle CAE is 36 times 2 which is 72.
72 happens to be our answer for angle BAC because angle BAC is half of the largest angle BAE, which was divided in two by line AC.
Hope this helps!
A manager of a self-service car wash charges a flat fee in addition to a fee per minute, x, for use of the services. The expression 5+0.75x models the scenario.
Which statement is true?
Responses
The coefficient 5 represents a cost of $5 per minute for use of the services, while the term 0.75x represents the flat fee of $0.75.
The coefficient 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes.
The constant 5 represents a cost of $5 per minute for use of the services, while the term 0.75x represents the flat fee of $0.75.
The constant 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes.
Answers
The constant 5 represents the flat fee of $5, while the term 0.75x represents a cost of $0.75 per minute for use of the services for x minutes. Therefore, option D is the correct answer.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 5+0.75x.
In the given expression, 5 is constant term and 0.75x is another term.
In the term 0.75x, 0.75 is the coefficient of x
In the expression 5+0.75x, 5 is fixed price and 0.75 is price for second or minute or hour or year and x can be number seconds or minutes or hours or years.
Therefore, option D is the correct answer.
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the statement [tex]2(\frac{1}{2} x-5)[/tex], then x=20 is justified by what property?
Answers
The statement 2(1 / 2 x - 5), when x = 20 is justified by the property of substitution.
How to find the property that justify the statement?Substitution property in mathematics is a property that helps in substituting the value of a variable into an algebraic expression to solve a given problem.
Therefore, by substituting the value of x in the algebraic expression, the expression will be solved.
Hence,
2(1 / 2 x - 5) , when x = 20
Therefore,
2(1 / 2 (20) - 5)
2(10 - 5)
2(5) = 10
Hence, the property is substitution property.
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what is the equation for a cosecant function with vertical asymptotes found at x equals pi over 4 plus pi over 4 times n comma such that n is an integer?
Answers
The answer is that the the equation for a cosecant function with vertical asymptotes found at x equals pi over 4 plus pi over 4 times n comma such that n is an integer is 2 coscec 4x.
Cosecant is one of the trigonometric ratios . It is calculated as the ratio of the hypotenuse to the perpendicular of a right triangle. It is also calculated as the reciprocal of the sine function.
Now, here if the vertical asymptotes is x = pi/4 + pi/4 (n).
This is not defined when n=0.
so, when x= pi/4,
sin 4x = sin x = 0
which means w =0 .
and we get the equation for cosecant function to be f(x)= 2 cosec 4x since cosec x = 1/ sin x.
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What number does B stand for
What number does C stand for
Answers
Answer:
B=20
C = 40
These are the answers
the interior angles of a regular polygon each measures 165 degrees. how many sides does the polygon have
Answers
1) The interior and the exterior angles
make a linear pair: add up to make 180°.
180° - 165° = 15° measure of one ext. angle
2) the sum of the exterior angles of any convex polygon is 360°
360° ÷ 15° = 24 exterior angles
3) the number of exterior angles = the number of interior angles = the number of sides in any convex polygon
4) Therefor there are 24 sides in this regular polygon
you are skiing down a mountain with a vertical height of 2900 feet. the distance from the top of the mountain to the base is 5800 feet. to the nearest degree, what is the angle elevation from the base to the top of the mountain?
Answers
Answer:
30°
Step-by-step explanation:
You want the angle of elevation to a point 2900 feet up that is 5800 feet distant on a straight line.
SineThe sine of the angle is the ratio of the height to the straight-line distance.
sin(θ) = h/d = 2900/5800 = 1/2
θ = arcsin(1/2) = 30°
The angle of elevation is 30° from the base to the top.
Answer: When doing a problem like this I always draw an example so I can see it. If you do that you see a right triangle with the hypothenuse, 2500 feet, is the distance from the top to the base. The opposite side is 1250 feet. Then remember sine= o/h, (opposite side over hypothenuse). So divide 1250/2500 and you get .5 Now take your calculator and use "inv" or sin-1 button to get the answer of the angle. x = 30
sinθ 1250/2500 = 1/2; θ = sin-1(1/2) = 30°
Step-by-step explanation:
PLEASE HELP URGENT WITH 4 AND 6
Answers
The solution is
a) The compound interest for the second period is $ 2.01 and the amount after the second period is $ 404.01
b) The compound interest for the first period is $ 114.125 and the amount is $ 18,374.125
The compound interest for the second period is $ 114.83828125 and the amount after second period is $ 18,488.96
What is Compound Interest?
Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
a)
Let the principal be P = amount after first period = $ 402
Now , the rate of interest r = 6 %
The compound interest is calculated by compounding monthly
Now , the interest for the second period = ( PRT / 100 x 12 )
Substituting the values in the equation , we get
The interest for the second period = ( 402 x 6 x 1 ) / 1200
The interest for the second period = $ 2.01
The amount after the second period = amount after first period + interest for the second period
The amount after the second period = 402 + 2.01
The amount after the second period = $ 404.01
b)
Let the principal be P = $ 18260
The rate of interest r = 2.5 %
The compound interest is calculated by compounding quarterly
Now , the interest for the first period = ( PRT / 4 x 100 )
Substituting the values in the equation , we get
The interest for the first period = ( 18260 x 2.5 ) / 400
The interest for the first period = 45650 / 400
The interest for the first period = $ 114.125
The amount for the first period = 18260 + 114.125
The amount for the first period = $ 18,374.125
Now , the principal for the second period = interest + amount of first period
The principal for the second period = $ 18,374.125
The rate of interest = 2.5 %
The interest for the second period = ( PRT / 4 x 100 )
Substituting the values in the equation , we get
The interest for the second period = ( 18374.125 x 2.5 ) / 400
The interest for the second period = 45935.3125 / 400
The interest for the second period = $ 114.83828125
The amount for the second period = 18,374.125+ 114.84
The amount for the second period = $ 18,488.96
Hence , the amount and interest is calculated
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Solve for y. Find m∠ C and m∠ D. Show all work.
Answers
The value of y is 10. The measure m∠ C and m∠ D are 40° and 76° respectively.
What is external angle?
The angle created when a transversal cuts one of two lines and is located outside of the line. It describes the angle between a side of a polygon and an expanded adjacent side.
The measure of an external angle of a triangle is equal to the sum of opposite interior angles.
∠DEF is an exterior angle. The opposite interior angles of ∠DEF are m∠ C and m∠ D
Therefore,
m∠ C + m∠ D = ∠DEF
4y° + (7y + 6)° = 116°
Add like terms
11y + 6 = 116
Subtract 6 from both sides:
11y = 110
Divide both sides by 11:
y = 10
Putting y = 10 in m∠ C = 4y° and m∠ D = (7y + 6)°
m∠ C = 40°
m∠ D = 76°
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PLS HELP W/ THESE LAST FEW QUESTIONS IM STRUGGLING THANK UU!!! (47 PNTS)
1) a
Obtuse and scalene
b
Isosceles and scalene
c
Acute and right
d
Right and scalene
e
Right and equilateral
2)Find the measure of the missing angle.
3)Find the measure of the missing angle.
6) t= ; ∠X
8) x=
10) m∠R = ; SR
Answers
Answer:
1. Scalene Triangle
2. 135 degrees
3. 80 degrees
I don't have much time for the rest, i'm sryyyyy
I hope i could helppp :3
If using the method of completing the square to solve the quadratic equation x 2 + 2 x + 16 = 0
Answers
Answer:
Step-by-step explanation:
[tex]x^{2} +2x+16=0\\x^{2} +2x+1-1+16=0\\(x^{2} +2x+1)-1+16=0\\(x+1)^{2} +15=0\\(x+1)^{2}=-15[/tex]
The solution does not exist because all numbers squared are greater than zero.
