In Figure 1, the length of $¯ ¯¯¯¯¯¯ ¯ P S$ is $2 x + 12$ , and the length of $¯ ¯¯¯¯¯¯ ¯ P Q$ is $6 x - 10$ . If $R$ is the midpoint of $¯ ¯¯¯¯¯¯ ¯ Q S$ , calculate the length of $¯ ¯¯¯¯¯¯ ¯ P R$ .

- 4 + 2 x

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- 2 x + 11

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4 x + 1

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2 x + 2

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Solution

The correct option is C $4 x + 1$
$Q S = P S - P Q$
$Q S = 2 x + 12 - (6 x - 10) = - 4 x + 22$
$P R = P Q + \frac{Q S}{2} = 6 x - 10 + - 2 x + 11 = 4 x + 1$

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In Figure 1, the length of ¯¯¯¯¯¯¯¯PS is 2x+12, and the length of ¯¯¯¯¯¯¯¯PQ is 6x−10. If R is the midpoint of ¯¯¯¯¯¯¯¯QS, calculate the length of ¯¯¯¯¯¯¯¯PR.

The correct option is C 4x+1QS=PS−PQQS=2x+12−(6x−10)=−4x+22PR=PQ+QS2=6x−10+−2x+11=4x+1

In Figure 1, the length of $¯ ¯¯¯¯¯¯ ¯ P S$ is $2 x + 12$ , and the length of $¯ ¯¯¯¯¯¯ ¯ P Q$ is $6 x - 10$ . If $R$ is the midpoint of $¯ ¯¯¯¯¯¯ ¯ Q S$ , calculate the length of $¯ ¯¯¯¯¯¯ ¯ P R$ .

The correct option is C $4 x + 1$
$Q S = P S - P Q$
$Q S = 2 x + 12 - (6 x - 10) = - 4 x + 22$
$P R = P Q + \frac{Q S}{2} = 6 x - 10 + - 2 x + 11 = 4 x + 1$