Question

B C С X+19 T S X+29 8. Solve for x. A. 8 B. 9 C.-8 D. -9 Mark for review (Will be highlighted on the review page)

Answer 1

In any triangle, the segment joining the mid-points of two sides is parallel to the third side and equal to half its length

B is the mid-point of RS

C is the mid-point of RT

BC = 1/2 ST

BC = x + 19

ST = x + 29

x + 19 = 0.5(x + 29)

x + 19 = 0.5(x) + 0.5(29)

x + 19 = 0.5x + 14.5

Subtract 0.5x from both sides

x - 0.5x + 19 = 0.5x - 0.5x + 14.5

0.5x + 19 = 14.5

Subtract 19 from both sides

0.5x + 19 - 19 = 14.5 - 19

0.5x = -4.5

Divide both sides by 0.5

`\begin{gathered} (0.5x)/(0.5)=-(4.5)/(0.5) \\ x=-9 \end{gathered}`

The answer is D

x = -9