Question

draw a diagram, write an equation and find the information indicated. do not round your answer(s).

1. q is the midpoint of sm. sm = 46 and sq = 5x - 4. find x and qm.
2. t is the midpoint of hj, hj = 95 and ht = 8x + 5. find x and tj.

review:
find the distance between each pair of points. round your answer to the nearest tenth, if necessary.
24)
25)
find the distance between each pair of points. round your answer to the nearest tenth, if necessary.

1. (6, -12), (-15, 1)
2. (-7, 14), (4, 13)

write an equation and solve for x. find the length indicated.

1. find jk
2. find eg

Explanation:

Step1: Use mid - point property for 22

Since Q is mid - point of SM, SQ = $\frac{SM}{2}$. So, $5x - 4=\frac{46}{2}$.

Step2: Solve for x

$5x-4 = 23$, then $5x=27$, $x=\frac{27}{5}=5.4$.

Step3: Find QM

QM = SQ = $5x - 4=5\times5.4 - 4 = 23$.

Answer:

$x = 5.4$, $QM = 23$