1 Answer

Bjedrzejewski · Answer 1 · 2022-06-29T09:11:16+0000

Answer:

$\displaystyle x = 15$

Explanation:

by triangle midsegment theorem we obtain:

$\displaystyle (10x + 44)/(2) = 8x - 23$

simplify division:

$\displaystyle 5x + 22 = 8x - 23$

move 5x to right hand side and -23 to the left hand side and change its sign:

$\displaystyle 22 + 23= 8x - 5x$

simplify addition:

$\displaystyle 8x - 5x = 45$

collect like terms:

$\displaystyle 3x = 45$

divide both sides by 3:

$\displaystyle x = 15$

and we are done!

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