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Bond [772]
3 years ago
11

Suppose Q is the midpoint of PR. Use the information to find the missing value. PR = 9x-31 and QR = 43, find x?

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
8 0

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 ⇒ \frac{9x}{9} = \frac{117}{9}

⇒ <u>x = 13</u>

alex41 [277]3 years ago
5 0

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

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