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3 years ago

What is the measure of the exterior angle

Mathematics

1 answer:

Nataliya [291]3 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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solong [7]

Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

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A cafe sells puffs. 5/9 are beef and 1/3 are chicken. The remaining 18 are tuna. Calculate 1. What fraction of the puffs are tun

Ksivusya [100]

Let n be the total number of puffs. Now we can write:
$n=\frac{5}{9}n+\frac{1}{3}n+18$
Adding the fractional value of n, we get:
$n=\frac{5+3}{9}n+18$
Simplifying and rearranging gives us:
$n-\frac{8}{9}n=18$
Therefore we can simplify to get:
$\frac{1}{9}n=18$
and finally
$n=18\times9=?$
The fraction of the puff that are tuna is found from:
$\frac{18}{18\times9}=\frac{1}{9}$

7 0

3 years ago

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What is the measure of angle x? m<x = ?

Ainat [17]

Hey there! :)

The total measure for triangles is 180°

You already know 2 angles. Add both angles and subtract from 180 to find x

37 + 82 = 119

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m∠x = 61°

Hope this helps :)

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2 years ago

Please explain I need help with all these

sergey [27]

For all of these you're trying to solve for the variable. The variable is usually a number or symbol.

11) -44+n=36
Step one would be to add 44 to both sides of the equation.

N=80

12) -36=p-91
Step one would be to add -91 to both sides of the equation.

P=55

13) X-225=671
Step one you be to add 225 to both sides of the equation. Although it may seem difficult because of the big numbers, it's the same technique.

14) 19=c-(-12)
Step one on this equation will be a little different. Because there are two negative signs (-), they turn into a plus sign. Remember, two negative signs make a positive sign.

19=c+12

Now you just subtract 12 from each side of the equation.

6=C

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2 years ago