∠A and \angle B∠B are vertical angles. If m\angle A=(3x-30)^{\circ}∠A=(3x−30) ∘ and m\angle B=(2x-9)^{\circ}∠B=(2x−9) ∘ , then find the value of x.

Answers

Answer 1

Answer:

x = 21

Step-by-step explanation:

Vertical angles are congruent, this

3x - 30 = 2x - 9 ( subtract 2x from both sides )

x - 30 = - 9 ( add 30 to both sides )

x = 21


Related Questions

What is the value of x in the equation −6 + x = −2? (5 points) a 8 b 4 c −4 d −8

Answers

The correct answer is B)4

Answer: Bippie boppy boo the answer is true!  

Step-by-step explanation: It is B! I did the test

Graph the image of the given triangle after the transformation with the rule (x, y)→(x−1, y+2). Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created.

Answers

Answer:

Just took the test

Step-by-step explanation:

The triangle by transformation with the rule (x, y)→(x−1, y+2) gives a triangle with vertices (-3,0), (6,5), and (3,7) and has been graphed.

How to plot a graph?

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

After that, we need to substitute the values of x's and y's into the coordinate geometry.

The transformation of the given triangle by rule  (x, y)→(x−1, y+2) will

result in an increment of all y's values by 2 and a decrement of x's by 1.

(-2,-2) →  (-3,0)

(7,3) →  (6,5)

(4.5) → (3,7)

Hence "The triangle by transformation with the rule (x, y)→(x−1, y+2) gives a triangle with vertices (-3,0), (6,5), and (3,7)".

For more information about the graph of a function

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Jim is twice as old as his sister. If s isthe sister's age, what is the sum of their ages?

Answers

Answer:

3s

Step-by-step explanation:

Given:

Jim is twice as old as his sister.

His sister's age is signified by the variable s.

∴ Jim's age is 2s.

You are trying to find the sum of both their ages, or add them together:

2s + s

Simplify. Combine like terms:

2s + s = 3s

3s is the expression you will use to find the sum of their ages.

16. Construct 3 equations starting with x = 5.

Answers

TO FIND: construct 3 equation starting with x=5?

SOLUTION:

The equation is in the form of variable and constant equating.

Let the equation be x=5.

TO CREATE AN EQUATION,

FIRST WE ADD 5 BOTH SIDe,

x + 5=5+5

=x + 5=10

SECOND WE SUBRACT 5 BOTH SIDE,

x — 5=5—5

=x—5=0

THIRD WE MULTIPLY 5 BOTH SIDE,

5x=5×5

=5x=25

well u got the answer!

slader The logarithmic equation is a nonlinear regression equation of the form ya. The accompanying data are the shoe sizes and heights​ (in inches) of men. Graphs of the regression line and the logarithmic equation are also provided. Which equation is a better model for the​ data? Explain.

Answers

Answer:

The graphs and the table is missing in the question.

Step-by-step explanation:

The guidelines for interpreting correlation  co-efficient r are :

1. Strong correlation    0.7<|r|≤1

2. Moderate correlation   0.4<|r|<0.7

3. Weak correlation   0.2<|r|<0.4

4. No correlation  0≤|r|<0.2

Logarithmic regression

(i). Mean : [tex]$ {\overset{-}{ln}x} = \frac{\sum ln x_i}{n}, \ \ \ {\overset{-}y} = \frac{\sum y_i}{n} $[/tex]

(ii) Trend line : [tex]$ y = A +B \ln x, \ \ B = \frac{S_{xy}}{S_{xx}}, \ \ A={\overset{-}y-B{\overset{-}{\ln x}}}$[/tex]

(iii). Correlation coefficient : [tex]$ r = \frac {S_{xy}}{\sqrt{S_{xx}} \sqrt{S_{yy}}} $[/tex]

[tex]$ S_{xx} = \sum (\ln x_i - {\overset{-}{\ln x}})^2 = \sum (\ln x_i)^2-n. ({\overset{-}{\ln x}})^2$[/tex]

[tex]$ S_{yy} = \sum(y_i - {\overset{-}y})^2 = \sumy_i^2 - n. {\overset{-}y^2}$[/tex]

[tex]$ S_{xy} = \sum(\ln x_i - {\overset{-}{\ln x}})(y_i-{\overset{-}y}) = \sum \ln x_i y_i - n. {\overset{-}{\ln x}}{\overset{-}y} $[/tex]

Now using the technology we can calculate

The equation of the regression curve is y = A + B(lnx)

we get A = 30.72 , B = 17.19

The equation of regression curve is [tex]$ \hat y$[/tex] = 30.72 + 17.19(lnx)

I just need the answer thanks. D is 57 ouces if you can't see it​

Answers

Answer:

c) 20 ounces

Step-by-step explanation:

C. 20 ounces__________

Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below: He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make? Check all that apply. He concludes that she is not running fast enough to exceed her fastest time. What errors did the coach make?

Answers

Answer: the correct answer is A and D

Step-by-step explanation:

Just answered the question.

Answer:

He used an incorrect time ratio converting hours to minutes.

He incorrectly concluded that she is not running fast enough.

Step-by-step explanation:

Got it right on edg

FAIpQLSDODAao9u4Y1tCopNRMLxSthe8ht18w
16) 14x –9y=-25
7x – y=-30​

Answers

Answer:

what

Step-by-step explanation:

The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one. The Heart Is a Muscle. It also carries away waste. Your heart is sort of like a pump, or two pumps in one.

What is the formula for the volume of a cylinder

Answers


The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm

Plot point C(2,7). If M is the midpoint of CD , what are the coordinates of D?

Answers

Answer:

The coordinates of D is (-4,-9)

Step-by-step explanation:

Given

C = (2,7)

M=(-1,-1)  ----- Missing part of question

Required

Determine the coordinates of D

Let the coordinates of D be (x₂,y₂)

We'll solve this question using mid point formula;

[tex]M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Where

[tex]C(x_1,y_1) = (2,7)[/tex]    and     [tex]M(x,y) = (-1,-1)[/tex]

Put these values in the formula

[tex](-1,-1) = (\frac{2+x_2}{2},\frac{7+y_2}{2})[/tex]

By comparison;

[tex]-1 = \frac{2+x_2}{2}[/tex]  and [tex]-1 = \frac{7+y_2}{2}[/tex]

[tex]-1 = \frac{2+x_2}{2}[/tex]

Multiply both sides by 2

[tex]-2 = 2 + x_2[/tex]

Subtract 2 from both sides

[tex]-2 -2 = x_2[/tex]

[tex]x_2 = -4[/tex]

[tex]-1 = \frac{7+y_2}{2}[/tex]

Multiply both sides by 2

[tex]-2 = 7 + y_2[/tex]

Subtract 7 from both sides

[tex]-2 - 7 = y_2[/tex]

[tex]y_2 = -9[/tex]

Hence, the coordinates of D is (-4,-9)

Point G is on line segment FH. Given GH = 8, FH = 3x + 3, and FG = 2x,
determine the numerical length of FG.

Answers

Answer:

10

Step-by-step explanation:

Dividing by 3 is the same as multiplying by 1/3. True or false

Answers

Answer:

this is true!

Step-by-step explanation:

its true lnfao.

Answer:

Step-by-step explanation:no different

rectangular room is 15 feet long and 12 feet wide.a . How many feet of baseboard are needed to reach around the room? (Ignore door openings.) b . How many one-foot-square tiles are needed to cover the floor

Answers

P= 2l + 2w
P= 2(15) + 2(12)
P = 30 + 24
P = 54
You will need 54 ft baseboard

A= LxW
A= 15x12
A= 180
You will need 180 one foot square tiles

-6f + 2s + 3 - 8 use f = 9 and s = 6

Answers

Answer:

-47

Step-by-step explanation:

-6(9) + 2(6) + 3 - 8

-54 + 12 + 3 - 8

-42 + 3 - 8

-39 - 8

-47

QS¯¯¯¯¯¯¯ bisects ∠PQR . If m∠PQS = 5x and m∠RQS = 2x + 6, then what is m∠PQR ? m∠PQR is

Answers

Answer:

[tex]PQR = 20[/tex]

Step-by-step explanation:

Given

Bisector: QS

[tex]PQS = 5x[/tex]

[tex]RQS = 2x + 6[/tex]

Required

Determine PQR

Since PQR is bisected to PQS and RQS, we have that

[tex]PQS = RQS[/tex]

Substitute expressions for PQS and RQS

[tex]5x = 2x + 6[/tex]

Collect Like Terms

[tex]5x - 2x = 6[/tex]

[tex]3x = 6[/tex]

Divide both sides by 3

[tex]x = 2[/tex]

Solving for PQR;

[tex]PQR = PQS + RQS[/tex]

[tex]PQR = 5x + 2x + 6[/tex]

[tex]PQR = 7x + 6[/tex]

Substitute 2 for x

[tex]PQR = 7 * 2 + 6[/tex]

[tex]PQR = 14 + 6[/tex]

[tex]PQR = 20[/tex]

Write the equation for a line in slope-intercept form (y=mx+b) that
is parallel to y = -2x + 3 and passes through the point (-3,5).

Answers

Answer:

y = -2x - 1

Step-by-step explanation:

Parallel lines have the same slope, so the slope will also be -2.

Plug this slope and the given point into the equation y = mx + b and solve for b:

y = mx + b

5 = -2(-3) + b

5 = 6 + b

-1 = b

Then, plug this and the slope into the equation:

y = -2x -1 will be the equation

PLz help 20 POINTS ASAP

Answers

Answer:

2, 1, 3, 4

Step-by-step explanation:

For future reference:

Make all the numbers (accept for the second one) into a common form. For example a decimal.

For the first one, it will simplify into 3/2 since both 9 and 4 can be easily rationalized.

The second can't be written as a decimal, but it will easily become the least greatest number.

The third is already a decimal and the fourth could just be divided 5/3 using a calculator.

From there you'll have

1.5, /5, 2.5, and 1.67

Answer:

1: 9/4

2: 5/3

3: 2.5

4. 5

Step-by-step explanation:

the square root of 9/4 is 1.5

5/3 = 1.6

2.5

and the square root of 5 is 2.23

Hey guys I’m really stressful but here the question

Y=2x

Here the pic ⬆️

Answers

X | Y
-1 | -2
0 | 0
1 | 2
2 | 4

You would just multiply everything by two because in this case Y equals two X


If a point (5.2) is rotated counterclockwise 90° about the origin, its image will be point

Answers

Answer:

(-5.-2)

Step-by-step explanation:

I hope this helps u

Answer: (-2,5)

Step-by-step explanation:

90 degrees counter clockwise= (x,y)->(-y,x)

What is the domain of the
quadratic parent function y=x2?

Answers

Answer:

[tex]\Large \boxed{\mathrm{All \ real \ numbers}}[/tex]

Step-by-step explanation:

[tex]y=x^2[/tex]

The domain are the set of all possible values for x.

There are no restrictions on the value of x.

The domain is all real numbers.

Work your brain this evening y'all!! I had $3.00. My Mom gave me $10.00. My Dad Gave me $30.00. My Aunt & Uncle gave me $100.00. I had another $7.00. How much did I have?

Answers

Answer:

150 i think

Step-by-step explanation:

If point Cis between points A and B, then AC + CB =
A. BC
B. ABC
C. AB
D. CA​

Answers

Answer:

C  AB

Step-by-step explanation:

When, point C is between points A and B,

Then, AC + CB = AB

What is mean by Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

A point C is between points A and B,

Now, When point C is between points A and B,

Then, We get;

⇒ AC + CB = AB

Thus, When, point C is between points A and B,

Then, AC + CB = AB

Option C is true.

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Which ordered pairs make the open sentence true?

5x- y > 12
Select all the correct answers.
(3, 4)
(4, 9)
(1, – 8)
- (0, – 10)
(-1, – 17

Answers

Answer:

(1, -8)

Step-by-step explanation:

5(1) - (-8) =  5 + 8

= 13.

An ordered pair is represented by (x,y). The ordered pair that makes the sentence 5x- y > 12,  true is (1,-8)

Given that:

[tex]5x - y > 12[/tex]

First, we test each option

[tex](a)\ (3,4)[/tex]

So, we have:

[tex]5 \times 3 - 4 > 12[/tex]

[tex]15 - 4 > 12[/tex]

[tex]11 > 12[/tex] ---- This is false

[tex](b)\ (4,9)[/tex]

So, we have:

[tex]5 \times 4 - 9 > 12[/tex]

[tex]20 - 9 > 12[/tex]

[tex]11> 12[/tex] --- This is false

[tex](c)\ (1,-8)[/tex]

So, we have:

[tex]5 \times 1 --8 > 12[/tex]

[tex]5 +8 > 12[/tex]

[tex]13 > 12[/tex] --- This is true

[tex](d)\ (0,-10)[/tex]

So, we have:

[tex]5 \times 0--10 > 12[/tex]

[tex]0+10>12[/tex]

[tex]10>12[/tex] ---- This is false

[tex](e)\ (-1,-17)[/tex]

So, we have:

[tex]5 \times -1 --17 > 12[/tex]

[tex]-5 +17 > 12[/tex]

[tex]12 > 12[/tex] --- This is false

Hence, the ordered pair that makes [tex]5x - y > 12[/tex], true is: [tex](c)\ (1,-8)[/tex]

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In a two-step equation, you should take care of multiplication and division before addition and subtraction.

Answers

i’m not sure if this is a question, but yes, i like to use “PEMDAS”.
Parentheses, exponents, multiply, divide, add, subtract.
You always go in order from left to right!

For what value of the variable will the expression 8b−27 be equal to the following:
5

Answers

Answer:

We need to find the value of b to make 8b - 27 be equal to 5, so:

8b - 27 = 5

We solve the equation:

8b = 5 + 27

8b = 32

We divide both sides by 8:

b = 32/8 = 4

So now, we know that b=4, and we can verify:

8*4 - 27 = 5

32 - 27 = 5 TRUE

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Benito embroiders and sells T-shirts. The graph shows his profit as a function of the number of shirts sold. After selling a certain number of shirts, Benito uses some earnings to buy more materials and then increases the price of the shirts. Which of the following is true? A coordinate plane with 12 distinct points plotted which are not connected. The points are 0 comma negative 20, 1 comma negative 10, 2 comma 0, 3 comma 10, 4 comma 20, 5 comma 30, 6 comma 40, 7 comma 50, 8 comma 25, 9 comma 40, 10 comma 55, and 11 comma 70. Group of answer choices The x-intercept represents the shirts he has to sell before making a profit. Benito increases the price after selling 50 shirts. The y-intercept represents the cost of one T-shirt. The domain of the function is {x | x is a real number greater than or equal to 0}.

Answers

Answer:

The correct option is;

The x-intercept represents the shirts he has to sell before making a profit

Step-by-step explanation:

The given data are;

(0, -20), (1, -10), (2, 0), (3, 10), (4, 20), (5, 30), (6, 40), (7, 50), (8, 25), (9, 40), (10, 55), (11, 70)

The data show a linear relationship because successive data point increases by the same amount of 10 for x between 0 and 7 and 15  for x between 8 and 11;

Therefore;

Slope, m of the first linear portion using points (2, 0), and, (4, 20) gives;

m =  (20 - 0)/(4 - 2) = 10

The equation of the line is therefore;

y - 20 = 10·(x - 4)

y = 10·x - 40 + 20

y = 10·x - 20

The y-intercept (x = 0) is y = -20

The x-intercept (y = 0) is found as follows;

0 = 10·x - 20

20 = 10·x

10·x = 20

x = 20/10 = 2

Therefore, when x = 2 we have;

Profit = y = 10·x - 20 = 10×2 - 20 = 0

Which can be expressed as, he has to sell more than 2 shirts to make profit

Therefore, the correct option is that the x-intercept represents the shirts he has to sell before making a profit.

7x − 3(x − 1) = 2(2x + 3)

Answers

Answer:

no solution

Step-by-step explanation:

Powers of 10 with negative exponents:
less than 1
greater than 1

Answers

Answer:

less than 1

Step-by-step explanation:

What is 0.57 x 1000?​

Answers

Answer:

570

Step-by-step explanation:

When we are multiplying anything by 10, we are multiply by the base ten rules.

If that is the case, then when we multiply 0.57 by 1000, we move the decimal place 3 times to the right.

We should get 570 as our answer.

Answer:

570

Step-by-step explanation:

.

The quotient of a number and 3 is -8. Find the number.

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 24}}}}}[/tex]

Step-by-step explanation:

Let the number be 'x'

[tex] \sf{ \frac{x}{3} = - 8}[/tex]

Apply cross product property

[tex] \dashrightarrow{ \sf{x = - 8 \times 3}}[/tex]

Multiplying positive and negative integers gives a negative integer

[tex] \dashrightarrow{\sf{x = - 24}}[/tex]

Hope I helped!

Best regards! :D

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