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True [87]
4 years ago
10

What is the measure of the exterior angle

Mathematics
1 answer:
Nataliya [291]4 years ago
3 0

Answer:

That exterior angle is equal to 87 degrees.

Step-by-step explanation:

In order to find the measure of the exterior angle, we start by trying to find x. We can do this by adding up the 3 interior angles and setting them equal to 180. The first angle is equal to 43. The second angle is equal to x + 15. The third angle is equal to 180 - 3x (which we know because the angle and 3x is equal to 180). So we set equal to 180.

43 + (x + 15) + (180 - 3x) = 180 ----> Combine like terms.

238 - 2x = 180 -----> Subtract 238

-2x = -58 ----> Divide by -2

x = 29

Now that we have the x value, we can plug into the exterior angle measure to get the value.

3x = 3(29) = 87 degrees

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Karlie painted a portrait. The height of the portrait measures 14 inches. The width is half as long as the height. What is the a
NISA [10]
14 times 7, so 98 square inches

6 0
3 years ago
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If the pattern continues how many cups of milk does George need to make 6 batches of muffins
alexdok [17]

Answer:

see explanation

Step-by-step explanation:

If we consider the differences between consecutive terms, that is

\frac{3}{4} - \frac{3}{8} = \frac{3}{8}

1 \frac{1}{8} - \frac{3}{4} = \frac{3}{8}

1 \frac{1}{2} - 1 \frac{1}{8} = \frac{3}{8}

To obtain the next term in the pattern add \frac{3}{8} to the previous term.

batches = 5 ⇒ milk = 1 \frac{1}{2} + \frac{3}{8} = 1 \frac{7}{8}

batches = 6 ⇒ milk = 1 \frac{7}{8} + \frac{3}{8} = 2 \frac{1}{4}


6 0
3 years ago
i have 17 coins. N of them are nickels and the rest are dimes. write an expression in two different ways for the amount of money
valkas [14]

Answer:

Step-by-step explanation:

(N)0.05 + (17-N)0.1 = M; M = amount of money I have.

Or 1.7-0.05N = M.

7 0
3 years ago
Please help with this question!! I need serious help!!
asambeis [7]

Answer:

<h2>The circumference is multipled by 4.</h2>

Step-by-step explanation:

The formula of an area of a circle"

A=\pi r^2

The formula of a circumference of a circle:

C=2\pi r

The area multipled by 16:

16A=16\pi r^2\\\\16A=\pi(4^2r^2)\\\\16A=\pi(4r)^2

The radius has increased fourfold, therefore:

C'=2\pi(4r)=4(2\pi r)=4C

The circumference is multipled by 4.

You can calculate the area and check the circumference:

r=11.6\ in\\\\A=\pi(11.6)^2=132.56\pi\\\\16A=(16)(134.56\pi)=2152.96\pi\ in^2

Calculate the radius:

\pi r^2=2152.96\pi             <em>divide both sides by π</em>

r^2=2152.96\to r=\sqrt{2152.96}\\\\r=46.4\ in

Calculate the circumference of both circles:

r=11.6\ in\\\\C=2\pi(11.6)=23.2\pi\ in

r=46.4\ in\\\\C'=2\pi(46.4)=92.8\pi\ in

\dfrac{C'}{C}=\dfrac{92.8\pi}{23.2\pi}=4\to C'=4C

5 0
3 years ago
A printer will produce Katie wedding invitations for $210. The price to produce 120 invitations is $290. The printer uses a line
VMariaS [17]

Thank you for asking this question. Here is your answer:


M = y2 - y1/x2 - X1 = M


= 290 - 210/120 - 80  



M = 80/40


M = 2


Now we will consider y intercept


y = mx + b  


210 = 2(80) + b  


210 = 160 + b  


b = 210 - 160


= 50


Now we will combine everything in order to get the answer.


y = 2x + 50


y = 2(60) + 50  


y = 120 + 50  


y = 170


So the final answer for this question is $170.


If there is any confusion please leave a comment below.


Read more on Brainly.in - https://brainly.in/question/6262493#readmore

6 0
3 years ago
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