Question

directions: suppose q is the mid - point of pr. 12. pq = 3x + 14 and qr = 7x - 10; find x.

Explanation:

Step1: Use mid - point property

Since Q is the mid - point of PR, then PQ = QR.
$3x + 14=7x−10$

Step2: Solve for x

Subtract 3x from both sides:
$3x+14 - 3x=7x - 10-3x$
$14 = 4x-10$
Add 10 to both sides:
$14 + 10=4x-10 + 10$
$24 = 4x$
Divide both sides by 4:
$\frac{24}{4}=\frac{4x}{4}$
$x = 6$

Answer:

$x = 6$