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balu736 [363]
2 years ago
9

I need answers pleaseee (20 points)

Mathematics
1 answer:
ycow [4]2 years ago
8 0

EG bisects angle DEF, so the two angles DEG and GEF are congruent. This means

3x + 8 = 5x - 4

Solve for x :

8 + 4 = 5x - 3x

2x = 12

x = 6

Then the measure of angle GEF is

5x - 4 = 5*6 - 4 = 26

degrees.

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Use the law of cosines to find the length of side C.
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Answer:

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Step-by-step explanation:

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\frac{c}{\sin 41.5^{\circ}}=\frac{37}{\sin 42^{\circ}},\\\\c=\frac{37\sin 41.5^{\circ}}{\sin 42^{\circ}}=36.6399945706\approx \boxed{36.64}

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