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Q is the midpoint of PR. PQ=7x-14 and QR=3x=2. Find PR.

Sagot :

Answer:

4

Step-by-step explanation:

Make PQ = QR in an equation.

7x - 14 = 3x + 2

Use inverse operations to solve for x.

10x = 16

x = 1.6

Rewrite with PQ + QR as an expression and substitute x.

7(1.6) - 14 + 3(1.6) + 2

11.2 - 14 + 4.8 + 2

4

Regalmocha17idn

PR = 14 units

Since we know that Q is the midpoint of PR, this would mean that PQ and QR are equal to each other. So, we can set them equal to each other and solve for x to determine the length of PR.

PQ = 7x - 14

QR = 3x - 2

7x - 14 = 3x - 2

7x - 3x = -2 + 14

4x = 12

x = 3

Substitute the value in for x.

7(3) - 14 = 21 - 14 = 7

3(3) - 2 = 9 - 2 = 7

7 + 7 = 14

Therefore the length of PR equals 14 units.

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