Answer to Question #136507 in Geometry for Karissa

Question

PR=2x, PQ=5x-4, and QR=x, determine the numerical length of PR

Answer 1

We draw a horizonal line PR and point Q somewhere on the line.

$PQ=5x-4$

$QR=x$

$PR=2x$

$PQ+QR=PR$

$5x-4+x=2x$

Solve for x

$5x+x-2x=4$

$4x=4$

$x=1$

Now we substitute the value of x in PR.

$PR=2x$

$PR=2 \cdot 1=2$

Answer: 2.