Find the measure of each interior and exterior angle. The diagram is not to scale.

Find The Measure Of Each Interior And Exterior Angle. The Diagram Is Not To Scale.

Answers

Answer 1

Answer/Step-by-step explanation:

✅m<1 = 90° (right angle)

✅m<2 = 90° (<1 and <2 are supplementary, and also linear pair)

✅m<3 = 90° (<1 and <3 are supplementary, and also linear pair)

✅m<4 = 115° (vertical angles theorem)

✅m<5 + m<4 = 180° (linear pair)

m<5 + 115° = 180° (substitution)

Subtract 115 from each side

m<5 = 180 - 115

m<5 = 65°

✅m<6 = m<5 (vertical angles are congruent)

m<6 = 65° (substitution)

✅m<7 = m<1 + m<6 (exterior angle theorem)

m<7 = 90° + 65° (substitution)

m<7 = 155°

✅m<8 = 180 - m<7 (linear pair theorem)

m<8 = 180 - 155 (substitution)

m<8 = 25°

✅m<9 = m<7 (vertical angles are congruent)

m<9 = 155° (substitution)


Related Questions

solve for x: 2x- 2 =3(x- 2)​

Answers

Hey the answer to your question is x=4

Answer:

x=4

Step-by-step explanation:

2x- 2 =3(x- 2)

2x- 2 =3x- 6

    +2.      +2

2x.     =3x - 4

-3x.     -3x

-1x.    = -4

Divided - 1 both side

x=4

1. Suppose Leif can rake his entire yard in 2.5 hours, while his younger sister, Autumn, can do it in 4 hours by herself. How many minutes will it take the two of the to rake the entire yard if they are working together, to the nearest whole number? Please answer in a number of minutes.

2. Once Leif and Autumn have all of the leaves in their yard in a huge pile, they decide to do a little math with their pile of leaves. They notice that all of the leaves are yellow and/or red. So, they decide that Leif will count the leaves with any red (5550 leaves) and Autumn will count the leaves with any yellow (6820 leaves). Then, they get their other little brother, Oakie, to come out and count the leaves that have both yellow and red on them (4370 leaves). Using their reported numbers, how many leaves are in the pile? Please just provide the number of leaves.

3. Leif bets Autumn that she can't reach into the middle of the pile and pull out three leaves with yellow on them in her first three picks, without replacement. Assuming the different kinds of leaves were all mixed up together again and randomly distributed throughout the pile, what is the probability that she will be successful? Express your answer as a decimal to the nearest hundredth.

Answers

Answer:

1. 93 min2. 123703. 0.17

Step-by-step explanation:

1. ...................................

Speed of Leif:

1/2.5 = 2/5 of the job in an hour

Speed of Autumn:

1/4 of the job in an hour

Together their speed is:

2/5 + 1/4 = 8/20 + 5/20 = 13/20

They spend total time for full job:

20/13 hour = 1 7/13 hour = 60 + 7/13*60 min ≈ 93 min

2. ...................................

Leaves with red = 5550Leaves with yellow = 6820Leaves with both yellow and red = 4370

Total number

5550 + 6820 = 12370

3. ...................................

Total number = 12370Yellow = 6820

Probability of 3 consecutive yellow leaves:

6820/12370*6819/12369*6818/12368 = 0.17 rounded to the nearest hundredths

The sum of two integers with different signs is 16. What two integers fit this description?

-2 and 18
-18 and -18
-14 and -2
-14 and 2

Answers

-2 and 18 add to 16

I really need help so please help me out

Answers

Answer:

The answer is option 2.

Step-by-step explanation:

Given that the TU and UF added up together to form a length of 32. In order to find TU, you have to subtract length of UF from 32 :

TU + UF = 32

TU + 20 = 32

TU = 32 - 20

TU = 12

hii pls help asap ty

Answers

Answer: 0.45 :)

Step-by-step explanation:

divide y by x

can y’all help please :)

Answers

number three ? I’m not sure

State the domain of the following relation.

Answers

Answer:

the answer is

b. {-5,0,4,12}

Step-by-step explanation:

domain is x

range is y

hope this helps

Select the correct answer. What can we determine about the SmartPhone Inc. stock when we see its returns (dashed line) compared with the NASDAQ Composite Index of growth companies (solid line). A. The SmartPhone Inc. stock performed better than the NASDAQ Composite during 2015. B. The SmartPhone Inc. stock performed worse than the NASDAQ Composite in 2015 and 2016. C. In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. D. The SmartPhone Inc. stock price steadily decreased between 2015 and 2017. E. The SmartPhone Inc. stock performed better than the NASDAQ Composite Index between 2015 and 2017.

Answers

Answer:

C

Step-by-step explanation:

Plato(:

What we determine about the SmartPhone Inc. stock when we see its returns compared with the NASDAQ Composite Index of growth companies is In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. This is further explained below.

What is stock?

Generally, stock is simply defined as the money raised by a firm via the issuing and subscribing of shares.

In conclusion, When compared to the NASDAQ Composite Index of growing firms, the SmartPhone Inc. stock is In 2018, SmartPhone Inc. shares began to outperform the NASDAQ Composite Index.

Read more about Stock

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what is 175% of 300​

Answers

Answer:

525

Step-by-step explanation:

525 i searched it up to be sure

PLEASE HELP ME!!!!!!!!!!!!!

Answers

T=43 and he has because it’s science

HELP ME PLEASE!!!!!!!!!!!!

Answers

Answer:

Question 6: C or 1/3

3 toppings times 2 flavors=6 types in all

you can get chocolate or vanilla yogurt with sprinkles. This gives u 2/6 or 1/3

Question 11: 2/9 + x = 1

x= 7/9

Step-by-step explanation:

Question 11: 2/9 + x = 1

x= 7/9

Question 6: 3 toppings times 2 flavors=6 types in all

you can get chocolate or vanilla yogurt with sprinkles. This gives u 2/6 or 1/3

Identify the set of ordered pairs that represents y as a function of x.

{(0, 0), (1, 1), (2, 3), (3, 3)}

{(−1, 0), (1, 0), (3, 0), (3, 4)}

{(1, 0), (2, 0), (3, 3), (3, 4)}

{(0, 0), (0, 1), (2, 3), (3, 4)}

PLEASE HELP ILL MAKE BRAINLIEST!!!!!

Answers

Answer:

The first one because every x value can only have one y value

Step-by-step explanation:

The set of ordered pairs that represents y as a function of x are; {(0, 0), (1, 1), (2, 3), (3, 3)}

We must be aware that, dependent variable, y can only be a function of x if;

For every value of x, there must only be one value of y.

In essence,

For case 1:

y is a function of x, because for every value of x, there's only one value of y.

For Case 2:

y is not a function of x, because there's two values of y for a value of x.

For Case 3:

y is not a function of x, because there's two values of y for a value of x.

For Case 4:

y is not a function of x, because there's two values of y for a value of x.

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Find the value of x in the following parallelogram

Answers

Answer:

x = 2

Step-by-step explanation:

5x - 6 = 3x - 2 (the two diagonals bisect each other)

2x = 4

x = 2

Topic: Polygons

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Solve for y. 6 over 36 equals y over 3

Answers

Answer:

Y = 1/2

Step-by-step explanation:

6/36 = y/3

Y = 1/2

Just multiply 3 by both sides

The table below shows the average annual salary of the workers at the Pearson
Corporation over the course of time since 1980. Let x represent the number of years
since 1980 with x = 0
representing the year 1980. Let y represent the average annual
salary of the workers. Complete the slope-intercept form of the equation for the line of
best fit below with the appropriate value for the slope.

Answers

Answer:

[tex]y = 1164x + 14242[/tex]

Step-by-step explanation:

From the question, we understand that

x = 0, when year = 1980

First, we need to determine the slope of the table.

Pick any two corresponding values of year and average salary

year = 1982, average salary = 16570

year = 2002, average salary = 39850

Convert years to x values

year = 1982 implies that x = 2 i.e. 1982 - 1980

year = 2002 implies that x = 22 i.e. 2002 - 198-

So, we have:

[tex](x_1,y_1) = (2,16570)[/tex]

[tex](x_2,y_2) = (22,39850)[/tex]

Determine the slope.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{39850 -16570}{22 - 2}[/tex]

[tex]m = \frac{23280}{20}[/tex]

[tex]m = 1164[/tex]

The equation is calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = 1164[/tex]

[tex](x_1,y_1) = (2,16570)[/tex]

So,

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - 16570 = 1164(x - 2)[/tex]

[tex]y - 16570 = 1164x - 1164*2[/tex]

[tex]y - 16570 = 1164x - 2328[/tex]

Add 16570 to both sides

[tex]y - 16570 + 16570 = 1164x - 2328 + 16570[/tex]

[tex]y = 1164x - 2328 + 16570[/tex]

[tex]y = 1164x + 14242[/tex]

Answer:

y = 1164x + 14,242

Step-by-step explanation:

I need help with the problem ​

Answers

A median i am 100% sure and i am in 11th grade so I can’t be wrong ;)

The graph below shows the relationship between the number of hours and the
number of miles jogged.
Y
16
15
14
13
12
11
10
9
Miles
8
3
2
2
3
5
6
Hours
Based on the information in the graph, what is the unit rate in miles per hour?

Answers

Answer:

2.5

Step-by-step explanation:

7.) x-3>4 please help

Answers

Answer:

x>7

Step-by-step explanation:

x-3>4

Add 3 to both sides

x>7

Hope it helped!

Answer:

x>7

Step-by-step explanation:

To solve the inequality you need to isolate the variable. To do so add 3 to both sides of the equation, x-3+3>4+3, which simplifies to x>7. This means any number greater than but not equivalent to 7 is a solution. So 8 or 100 would work but 7, 2, or -2 would not.

Please help me with this problem, 35 points!
The four small circles are identical. The total area of the small circles is 16 pi square inches. What is area of the larger circle? Write your answer in terms of pi .

Answers

Answer:

64[tex]\pi[/tex] in²

Step-by-step explanation:

I did not ever do a problem like this, however this is the beauty of math, you can easily reverse engineer it.

Remember,

A = [tex]\pi r^2[/tex]

And if we have 4 circles that means the area of one circle is 1/4th the total

So,

[tex]A = \frac{\pi r^2}{4}[/tex]

Assuming that 16 is the radius squared times 4 lets ignore that squared for now because when going backwards we would get rid of the squared last as that was the first step.

[tex]A = \frac{16\pi}{4} = \frac{4\pi}{1}= 4\pi[/tex]

Now lets get it back to [tex]r^2[/tex] by square rooting the 4

[tex]A = \sqrt{4}\pi = 2\pi[/tex]

The radius of one small circle is 2. Therefore; the diameter would be 4 for each. This in mind we know that two small circles diameters make up the radius of the larger circle we will multiply it by two again.

This gives us a final radius of the bigger circle of 8

Therefore, the area of the bigger circle is 8²[tex]\pi[/tex] which simplifies to 64[tex]\pi[/tex]

And a final answer of

64[tex]\pi[/tex] in²

Hope this helps :)

The area of the larger circle is 64π in²

What is a circle?

A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The points of circle are at a fixed distance from the center.

Given that, there are 4 identical circles inside a big circle, the total area of the small circles is 16π in²

We know that,

Area = π × radius²

16π = 4π × radius²

Therefore, the radius of each circle = 2 in

Now, according to the arrangement we can say that the adding the diameter of two small circles will give the radius of the big circle,

Therefore, the radius of the big circle = 4 + 4 = 8 in

Therefore, the area of the big circle = π × 8² = 64π

Hence, the area of the larger circle is 64π in²

Learn more about circles, click;

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Are 3/5 and 18/32 equivalent ratios? Explain how you know (be specific). If you just say yes or no you will not get full credit. *

Answers

Answer:

No they are not equivalent,

Step-by-step explanation:

3 x 6 is 18 and 5 x 6 is 30,  not 32 so it is non-equivalent

Help me please i need some help.

Answers

Answer:

3

Step-by-step explanation:

3 is the coefficient and y is the term

Answer:

The first one: 3

Step-by-step explanation:

Dustin rides his bike for 176.25 miles in three weeks. He averaged 11.75 miles per hour each time he rode. How many hours did it wake him to ride 176.25 miles?

Answers

176.25÷11.75=15 hours

Pleaseee ANWSER ASAP!!!!

Answers

B-d us 6 to 2 and b-c is 65

5y - 4x = -7
2y + 4z = 14
Solve for x and y

Answers

Answer:

et's solve for x.

5y−4x=−72y+4z

Step 1: Add -5y to both sides.

−4x+5y+−5y=−72y+4z+−5y

−4x=−77y+4z

Step 2: Divide both sides by -4.

−4x

−4

=

−77y+4z

−4

x=

77

4

y−z

Answer:

x=

77

4

y−z

Let's solve for y.

5y−4x=−72y+4z

Step 1: Add 72y to both sides.

−4x+5y+72y=−72y+4z+72y

−4x+77y=4z

Step 2: Add 4x to both sides.

−4x+77y+4x=4z+4x

77y=4x+4z

Step 3: Divide both sides by 77.

77y

77

=

4x+4z

77

y=

4

77

x+

4

77

z

Answer:

y=

4

77

x+

4

77

z

Step-by-step explanation:

I think that can help :) wanna chat add me as  friend

Answer:

1.)x=5/4y+7/4

2.) y=−2z+7

Step-by-step explanation:

2. Penny is 1/16 inch thick and there are now 500,000,000,000 pennies. How many miles high would the stack be? *Use the converter after you get your answer in inches. Show work:​

Answers

Answer:

447451 miles

Step-by-step explanation:

a mile is 5820 feet or 69840 inches. 500,000,000,000/16 and then divide that by 5820

2+2+5*18/2+745-345/53

Answers

Answer:

Step-by-step explanation:

787.490566

Answer:

2 + 2 + 5 × 18 ÷ 2 + 745 - 345 ÷ 53  = 787.490566038

hope this helps

ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST
Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.

Answers

Answer:

20

Step-by-step explanation:

20 points      =        40

50 points               100

The vertices of a triangle are, A (2, 5) B (1, 2) C (3, 1),. Find the coordinates of the image after a
reflection in the x-axis, and then a rotation 90° counterclockwise about the origin.

Answers

Answer:

The images are;

A’ (5,2) B’ (2,1) and C’ (1,3)

Step-by-step explanation:

Firstly, we want to reflect across the x-axis

When we reflect a point (x,y) over x-axis, we get (x,-y)

So;

A ( 2,5) becomes (2,-5)

B (1,2) becomes (1,-2)

C ( 3,1) becomes (3,-1)

Then we proceed to rotate 90 degrees counterclockwise about the origin

Here we have;

(x,y) becomes (-y,x)

(2,-5) becomes (5,2)

(1,-2) becomes (2,1)

(3,-1) becomes (1,3)

Answer:

A’ (5,2) B’ (2,1) and C’ (1,3)

Step-by-step explanation:

Firstly, we want to reflect across the x-axis

When we reflect a point (x,y) over x-axis, we get (x,-y)

So;

A ( 2,5) becomes (2,-5)

B (1,2) becomes (1,-2)

C ( 3,1) becomes (3,-1)

Then we proceed to rotate 90 degrees counterclockwise about the origin

Here we have;

(x,y) becomes (-y,x)

(2,-5) becomes (5,2)

(1,-2) becomes (2,1)

(3,-1) becomes (1,3)

add me as a friend lol

Answers

Answer:

ok

Step-by-step explanation:

ok

Answer:

helloooooooooooooooooo

Jamie's father has to build a corral for her new pony. The plan shows the length of the sides of the corral. Jamie's father says that the fence posts must be ten feet apart

Answers

Answer:

16

Step-by-step explanation:

The post must be 10 feet apart, the width of the corral is 50 feet and the length is 30 feet.

Each width sides get 6 posts and the length get 2 posts each.

therefore the total number of posts needed for the corral is;

    = perimeter of a rectangle

   = 2 ( l + w) / 10 feet apart

   = 2 ( 50 + 30) / 10

   = 160/10

   = 16 posts

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