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4 years ago

A.) 170 B.) 300 C.)280 D.)155 Please help me

Mathematics

1 answer:

pav-90 [236]4 years ago

6 0

Answer:

Step-by-step explanation:

The formula for this is

∠G = 1/2(arcEH - arcHF)

We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF

Filling in the formula with what we have:

$5x-10=\frac{1}{2}(195-(8x+17))$

which simplifies down a bit to

$5x-10=\frac{1}{2}(195-8x-17)$ which simplifies down a bit more to

$5x-10=\frac{1}{2}(178-8x)$ Multiply both sides by 2 to get rid of the fraction and get:

2(5x - 10) = 178 - 8x which of course simplifies to

10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:

18x = 198 so

x = 11. Now we can find the measure of arcHF:

arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.

arcEH + arcHF = arcEHF so

195 + 105 = arcEHF so

arcEHF = 300°

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