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2 years ago

How do I find the measure of the interior angle?

Mathematics

1 answer:

nataly862011 [7]2 years ago

3 0

Answer:

see the explanation

Step-by-step explanation:

we know that

The sum of the interior angles in any polygon is given by the formula

$S=(n-2)180^o$

where

n is the number of sides of the polygon

step 1

Find the sum of the interior angles in the given polygon

we have

$n=5\ sides$

substitute

$S=(5-2)180^o=540^o$

step 2

Find the value of x

we know that

$-3x+125+(45-x)+(-x+90)+80=540$

solve for x

$-5x+340=540$

$-5x=200\\x=-40$

step 3

Find the measure of each interior angle

substitute the value of x

Angle A

$-3(-40)=120^o$

Angle B

$80^o$

Angle C

$-(-40)+90=130^o$

Angle D

$45-(-40)=85^o$

Angle E

$125^o$

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2 years ago

Multiply 3/sqrt17- sqrt2 by which fraction will produce an equivalent fraction with rational denominator

zzz [600]

Answer:

Step-by-step explanation:

To simplify something that looks like $\frac{\text{whatever}}{\sqrt{a}-\sqrt{b}}$ you would multiply the top and bottom by the conjugate of the bottom. So you multiply the top and bottom for this problem I just made by:

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These have a term for it because when you multiply them something special happens. The middle terms cancel so you only have to really multiply the first terms and the last terms.

Let's see:

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I'm going to use foil:

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--------------------------Adding.

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See -ab+ab canceled so all you had to do was the "first" and "last" of foil.

This would get rid of square roots if a and b had them because they are being squared.

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2 years ago

Read 2 more answers

720 m/day = m/min <br> Show work.

geniusboy [140]

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2 years ago

PLEASE HELP

Alecsey [184]

Answer:

The answer to your question is letter B

Step-by-step explanation:

Process

1.- Find two points of each line

Line A (-2, 0) (-1, 2)

Line B (-1. - 5) (-6, 0)

2.- Find the slope and equation of each line

Line A

$m = \frac{2 - 0}{-1 + 2}$

$m = \frac{2}{1}$

m = 2

y - 0 = 2(x + 2)

y = 2x + 4

Line B

$m = \frac{0 + 5}{-6 + 1}$

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3.- Find the inequalities

Line A, we are interesteed in the lower area of the line, so the inequality is

y ≤ 2x + 4

Line B, we are also interested in the lower area of the line so the inequality is

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3 years ago