Respuesta :

wegnerkolmp2741o

Answer:

x=13

Step-by-step explanation:

Q is the midpoint of PR

PQ + QR = PR

PQ= QR

PQ+QR = PR

QF + QR = PR

2QR = PR

2*43 = 9x-31

86 = 9x-31

Add 31 to each side

86+31 = 9x-31+31

117 = 9x

Divide each side by 9

117/9 = 9x/9

13 =x

Answer:

x = 13

Step-by-step explanation:

since Q is the midpoint of PR and QR is 43, then

PR = QR * 2 ⇒ 43 * 2 = 86

PR = 9x - 31

⇒ 9x - 31 = 86

⇒ 9x = 86 + 31

⇒ 9x = 117

Divide both sides by 9 ⇒ [tex]\frac{9x}{9} = \frac{117}{9}[/tex]

⇒ x = 13