-24°
(2x + 18)
(3x + 6)
The measure of the exterior angle of the triangle is

-24(2x + 18)(3x + 6)The Measure Of The Exterior Angle Of The Triangle Is

Answers

Answer 1
The exterior angle is 114
Answer 2

The exterior angle of a triangle is congruent to the sum of the opposite interior angles

The measure of the exterior angle of the triangle  is 114 degrees

From the figure,

The interior angles are 24 and 2x + 18. The exterior angle is 3x + 6.

So, the interior and exterior angles have the following relationship

[tex]\mathbf{3x + 6 = 2x + 18 + 24}[/tex]

Collect like terms

[tex]\mathbf{3x - 2x = -6 + 18 + 24}[/tex]

[tex]\mathbf{x = 36}[/tex]

The exterior angle is given as:

[tex]\mathbf{\theta = 3x + 6}[/tex]

Substitute 36 for x

[tex]\mathbf{\theta = 3 \times 36 + 6}[/tex]

[tex]\mathbf{\theta = 114}[/tex]

Hence, the exterior angle is 114 degrees

Read more about exterior angles at:

https://brainly.com/question/17972372


Related Questions

Which decimals written in expanded form are greater than 5.3? Check all that apply. 5 + 0.3 + 0.00 5 + 0.3 + 0.001 (5 × 1) + (2 × 0.1) + (9 × 0.01) (5 × 1) + (3 × 0.1) + (3 × 0.01) (6 × 1) + (2 × 0.1) + (1 × 0.01)

Answers

Answer:

Any number in form of x.y = x (1) + 1/10 (y)

where x = 5 & y > 3 , or x > 5

Step-by-step explanation:

Expanded form of 5.3 = 5 (1) + 3 (1/10)

Some decimals written in expanded form that are greater than 5.3    :

5 (1) + 4 (1/10) = 5.4

6 (1) + 2 (1/10) = 6.2  

There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate?

Answers

Answer:

7/15

Step-by-step explanation:

find a common demonator for example 15

you would do 4x3 for 12 and 5x3 for 15 so your first fraction would be 12/15

for the second fraction you will do 1x5 and 3x5 so your fraction would be 5/15

then you just subtract.

Answer:

7/15

Step-by-step explanation:

4/5 - 1/3. Change the denominators to 15, do they same to the numerators which is multiply by 5. You then have 12 minus 5 = 7. So 7/15.

Find the value of x in the figure below.
26
56
Х

Answers

The answer is 30

Explanation:

So all of the angles in a triangle add up to 180 degrees and so if you split the triangle into separate triangles then you can add up the angles that are known and subtract from 180 to get the size of the missing angle e.g 90 + 56 = 146, 180 -146 = 34 for the other triangle 90 + 26 = 116, 180 - 116 = 64 and so 64 - 34 = 30

Ellyana's landscape gardening business creates odd-shaped lawns that include semicircles. Which choice best represents the area of this semicircular section of the lawn in this design. Use 3.14 for pi

Question 1 options:

452.16 meters squared

29.5788 meters squared

56.52 meters squared

226.08 meters squared

Answers

452.16 meters squared i think

Answer: 56.52 meters squared i took the test :)

Step-by-step explanation:

ALSO ITS MY NAME LOL

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answers

Try to draw run and rise right now

A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation that represents this and show your work. Then find the possible value(s) for x, and find the actual dimensions of the postcard.

Answers

Answer:

[tex]x^2 + 15x - 60 = 0[/tex]

The actual dimension is 18.28 by 3.28

Step-by-step explanation:

Given

Dimension:

[tex](x + 15)\ by\ x[/tex]

[tex]Area = 60in^2[/tex]

Required

Determine the quadratic equation and get the possible values of x

Solving (a): Quadratic Equation.

The cardboard is rectangular in shape.

Hence, Area is calculated as thus:

[tex]Area = Length * Width[/tex]

[tex]60= (x + 15) * x[/tex]

Open Bracket

[tex]60= x^2 + 15x[/tex]

Subtract 60 from both sides

[tex]x^2 + 15x - 60 = 0[/tex]

Hence, the above represents the quadratic equation

Solving (b): The actual dimension

First, we need to solve for x

This can be solved using quadratic formula:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 1[/tex]

[tex]b = 15[/tex]

[tex]c = -60[/tex]

So:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}[/tex]

[tex]x = \frac{-15 \± \sqrt{225 + 240}}{2}[/tex]

[tex]x = \frac{-15 \± \sqrt{465}}{2}[/tex]

[tex]x = \frac{-15 \± \21.56}{2}[/tex]

Split:

[tex]x = \frac{-15 + 21.56}{2}[/tex] or [tex]x = \frac{-15 - 21.56}{2}[/tex]

[tex]x = \frac{6.56}{2}[/tex] or [tex]x = \frac{-36.36}{2}[/tex]

[tex]x = 3.28[/tex] or [tex]x = -18.18[/tex]

But length can't be negative;

So:

[tex]x = 3.28[/tex]

The actual dimensions: [tex](x + 15)\ by\ x[/tex] is

[tex]Length =3.28 +15[/tex]

[tex]Length =18.28[/tex]

[tex]Width = x[/tex]

[tex]Width =3.28[/tex]

The actual dimension is 18.28 by 3.28

Find the value of y.

Answers

Answer:

13.5

Step-by-step explanation:

just subtract everything aan keep the 13/5 and use tat

Answer:

y = 11.2

Step-by-step explanation:

Given:

The Side-Splitter Theorem states that:

JKP is any triangle

KL is drawn parallel to MN, then JK/KM = JL/LN

JK/KM = JL/LN = KL/MN

9/13.5 = (37.5 - x)/x = 7.5/y

9/13.5 = 7.5/y

y = 11.249

9/13.5 = (37.5 - x)/x

x = 22.5

A bathtub contains 12 gallons of water. With these 12 gallons, the bathtub is only 30% full. How many gallons of water can the bathtub hold when it is completely full?

Answers

Answer:

40 gallons

Step-by-step explanation:

Let the number of gallons that would completely fill the bathtub be represented by N.

Since 12 gallons of water gives 30% of the number of gallons to fill the bathtub, then;

30% of N = 12

[tex]\frac{30}{100}[/tex] x N = 12

30N = 12 x 100

30N = 1200

divide both sides by 30,

N = [tex]\frac{1200}{30}[/tex]

   = 40

The number of gallons that would completely fill the bathtub is 40 gallons.

Mr. Rodriguez barrowed 5000 to purchase a used car. He made payments of 236 per month to repay the amount he barrowed. Which table represents this information?

these numbers below represent the tables.

a:
0 5000
1 5000
3 5000
7 5000

b:
0 5000
1 4800
3 4400
7 3600

c:
0 5000
1 4770
3 4310
7 3390

d:
0 5000
1 4764
3 4292
7 3348



Answers

The answer for this one would be B

Please help i will mark branliest
Given a triangle on a coordinate plane, Steve found its circumcenter. How can he check the answer?
Use midpoint formula to find the midpoint of each side

Use distance formula to verify that each vertex is equidistant from the circumcenter

Use distance formula to verify that each side is equidistant from the circumcenter

There is no way to verify the coordinates of the circumcenter
Given a triangle on a coordinate plane, Kim found its incenter. How can she check the answer?
Use distance formula to verify that each side is equidistant from the incenter

Use midpoint formula to find the midpoint of each side

There is no way to verify the coordinates of the incenter

Use distance formula to verify that each vertex is equidistant from the incenter

Answers

Answer:

ihnc

Step-by-step explanation:

ihnc

Answer:

The answer is D - Use distance formula to verify that each vertex is equidistant from the incenter.

Step-by-step explanation:

I know because I just toke the test and got it right.

Find the slope of the line going through the points (1,3) and (4,9) The slope of the lines is m = (For example, slope -2)​

Answers

(9-3)/(4-1)= 6/3 = 2
Slope: m = 2

The equation that represents the canned goods order is
24x + 64y = 384, where x = number of minutes for
producing fruit cans and y = number of minutes for
producing vegetable cans.
What is the meaning of the y-intercept?

If you can give sample response from edge I will give brainliest!

Answers

Answer:

The y intercept is where the number of minutes producing fruit cans is 0 and the value of the number of minutes for producing vegetable cans is on the y-axis.

Step-by-step explanation:

A y-intercept is where the x value is 0 and the y-value is on the y-axis. So, the answer consists of making the x value 0.

Answer:

Sample Answer: The x-intercept, at the point (16, 0) indicates the choice to produce fruit for 16 minutes. In 16 minutes, producing 24 cans of fruit a minute, all 384 cans for the order will be completed. The zero for the y-value represents that no time is spent producing cans of vegetables.

Step-by-step explanation:

WHAT'S THE RANGEE??​

Answers

Answer:

-2 < y ≤ 10

Step-by-step explanation:

The graph's lowest point is at y = -2, and the graph's highest point is at y = 10, so we know it would start off with -2 and end with 10. The dot at the lowest point is not shaded in, indicating that the graph does not include -2. So, we would represent this exclusion in our inequality with a less than (<) sign. As for the highest point at y = 10, it is shaded in, indicating that the graph does include 10. We would show this in our inequality with a less than or equal to sign (≤)

The scale factor of two similar polygons is 2:3. The perimeter of the larger polygon is 150 centimeters. What is the perimeter of the smaller polygon?

Answers

it’s 71 because without 72 u can’t get 71 and with that being said 61+800=2222

The perimeter of the smaller polygon from the given ratio is 100 centimeters.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, the scale factor of two similar polygons is 2:3.

The perimeter of the larger polygon is 150 centimeters.

Let x be the perimeter of the smaller polygon.

Now, 2/3 =x/150

⇒ x=100 centimeters

Therefore, the perimeter of the smaller polygon is 100 centimeters.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ2

please help me i give brainliest
the question is if you can’t see it “If 2 ringtones cost $6, and the cost of 3 ringtones is $9 how can you setup a proportion to compare two ratios? Use the graphic organizer below to set up your proportion!”

Answers

Answer:

I think

2 ring.... = $6

3ring..... = $9

1rings = 6/2 = 3

Step-by-step explanation:

For ratio you can write

2/6 = 3/9

Answer will be

1/3

Ratio is kinda rate for buying stuff, like comparison too

I need help on questions 2 and 4​

Answers

Answer:

Step-by-step explanation:

1). There is 5 hours between 8:15 A.M. and 3:15 P.M.

7 × 60 - 10 = 410 minutes

2). 6 hours and 50 minutes

3). Right angle (90°)

4). Obtuse angle (120°)

Identify the equation of the line graphed below.

Answers

Answer:

B

Step-by-step explanation:

this is the correct awnser because the thingy is y-y¹=slope(x-x¹) so for y¹ it would be 2 and that gives away the awnser. because all of the other ones have different numbers if the minus sign is an addition sign it mean that the y¹ is negative which it isnt.

how you would find the y¹ is you look on the y-axis and see where the line goes through perfectly which is the positive 2

Hope this helps!

and isn't to complicated

Anderson Middle School received 37 tickets to next week's ball game. The tickets were given out to the 5 sixth grade classes. How many tickets were given to each grade? and How many were left over?

Answers

Answer:

7 tickets given to each class, 2 left over

Step-by-step explanation:

You can divide 37 by 5 to get 2 remaining.

EX: 37 / 2 = 7 r2

What are two numbers that are 4 away from zero on a number line?

Answers

Answer:

4 and -4

Step-by-step explanation:

Because 4 to the left of 0 is negative and 4 to the right is positive

Answer:

The two numbers are: -4 and +4 (or just 4)

I HOPE THIS HELPS

1). Aziz has a job mowing lawns in the summer. The graph below shows the amount of earnings, in dollars, based on the number of lawns Aziz mows. Enter an equation to represent the amount of earnings, e, in dollars, that Aziz makes in terms of the number of lawns, n, that he mows.

Answers

Answer:

The equation that represents the amount that Aziz earns for the number of lawn he mows is e = 15.875 × n

Step-by-step explanation:

From the graph, we have;

For the point where n = 4, we have e ≈ 63.5

Therefore, we have;

The slope = Δn/Δe = 63.5/(4) = 15.875

The coordinates of the points plotted on the graph are as follows;

n = 0, e = 0, therefore, the y-intercept is 0, and y = slope × x

n = 1, e = 1 × 0.79375 = 15.875

n = 2, e = 2 × 15.875 = 31.75

n = 3, e = 2 × 15.875 = 47.625

n = 4, e = 4 × 15.875 = 63.5

We have, e = 15.875 × n

Where, n represents the number of lawns Aziz mows, and n represents the amount of earnings Aziz makes in dollars

Therefore, the equation that represents the amount that Aziz earns for the number of lawn he mows is e = 15.875 × n

what is the slope of a line that is parallel to the line that passes through the points (2,-2) and (5,-1)

Answers

Answer:1/3

Step-by-step explanation:

The formula for finding slope is (y2-y1)/(x2-x1)

(-1--2)/(5-2)

1/3

Mr. Thomson created a mosaic tile in the
shape of a square to place in his kitchen.
9 in.
9 in
Which is closest to the length of the
diagonal of the tile?
A. 10 inches
B. 13 inches
C. 15 inches
D. 17 inches

I’ll give Brainlest if it’s right!!

Answers

Answer:

C

step by step

ithink so

Determine the type of triangle that is drawn below.

Answers

Answer:

Isosceles Right

Step-by-step explanation:

Help me please and thanks

Answers

Answer:

3/-4 or -0.75 is the answer

Step-by-step explanation:

hope this is the right answer if it isnt sorryy

Based on the given information, which conjecture is invalid?


Given: Amber has a pet with four legs.

a)Amber has a hamster.


b)Amber has a cat.


c)Amber has a parakeet.


d)Amber has a dog.

Answers

The answer is C.
C is the only answer that doesn’t name an animal that has 4 legs.

Solve the system of linear equations by adding or subtracting. 2x +y = -6 -5x + y = 8 Enter the solution as an ordered pair. The solution is​

Answers

Answer: (-6,-4)

Step-by-step explanation:

Find the value of x.
X
127X

Answers

Answer:

127

Step-by-step explanation:

x=127

corresponding angles

Evaluate:
(4/25)^1/2 in fraction

Answers

Answer:

As

[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{2}{5}[/tex]

Therefore,  option C is true.

Step-by-step explanation:

Given the expression

[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}[/tex]

as

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]

so the expression becomes

[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}[/tex]

          [tex]=\frac{4^{\frac{1}{2}}}{25^{\frac{1}{2}}}[/tex]

          [tex]=\frac{2}{25^{\frac{1}{2}}}[/tex]

            [tex]=\frac{2}{5}[/tex]

Hence,

[tex]\left(\frac{4}{25}\right)^{\frac{1}{2}}=\frac{2}{5}[/tex]

Therefore,  option C is true.

Answer:

The answer is C

Step-by-step explanation:

I just took the A pex test and got the question right.

You might want to clean your screen lol

Hope this helps! Have a wonderful day <333

Sally bought shirts and pants for school. She bought a total of 8 items. Each pair of pants cost $28, and each shirt cost $12. She spent a total of $144. How many pairs of pants did Sally buy? How many shirts did she buy?

Answers

Answer:

3 pants and 5 shirts

Step-by-step explanation:

x+y=8

28x+12y=144

-12x-12y=-96

16x=48

x=3

The graph shows the amount of money paid when purchasing bags of caramel corn at the zoo:

A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 10. Four points are shown on the graph on ordered pairs 0, 0 and 1, 3 and 2, 6 and 3, 9. These points are joined by a line. The label on the x-axis is Bags of caramel corn. The title on the y-axis is Total cost in dollars.

What does the point (0, 0) on the graph represent?

Answers

Answer:

Step-by-step explanation:

propportinal

means that the points are inproportion

ratios

1:3=2:6=3:7

1/3=2/6=3/7

1/3=1/3=3/7

false

therefor it is not poropoortional

another way is to graph the points and see if a straight line can go though all of them

it can go thoruhg the first 3 but not eh 4th pont (3,7)

not proportional

Answer:

a

Step-by-step explanation:

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