Question

1. Given GH = 7x + 3, HI= 3x - 5, and GI= 9x + 5. H G A. Find x: B. Find GH:

Answer 1

Answer:

$\boxed{\bf x=7}$

$\boxed{\bf GH= 52}$

Step-by-step explanation:

In the line segment..

$\bf 7x+3+3x-5=9x+5$

Combine like terms.

• $\bf 10x-2=9x+5$

Add -2 to both sides.

• $\bf 10x-2+2=9x+5+2$

• $\bf 10x=9x+7$

Subtract 9x from both sides.

• $\bf 10x-9x=9x+7-9x$

• $\boxed{\bf x=7}$

$\bf GH=7x+3$

• $\bf 7(7)+3$

• $\bf 49+3$

• $\boxed{\bf 52}$

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