Question

Analyza Paiz bar (PQ) is bisected at R. If PQ=8x+24 and RQ=8x-12, what is the length of bar (RQ) ?

Answer 1

By setting the expressions for PQ and RQ equal since R is the midpoint and solving for x, we found out the length of bar (RQ) to be 36 units.

Step-by-step explanation:

To find the length of bar (RQ), we need to understand that because R bisects PQ, the lengths of PR and RQ are equal. Given the equations for PQ and RQ, we set them equal to each other because R is the midpoint:

PQ = 2 * RQ

8x + 24 = 2 * (8x - 12)

We then proceed to solve for x:

8x + 24 = 16x - 24

Adding 24 to both sides gives us:

8x + 48 = 16x

Now, we subtract 8x from both sides to get x by itself:

48 = 8x

This gives us:

x = 6

Now that we have x, we can find the length of RQ by plugging x back into the RQ equation:

RQ = 8x - 12

RQ = 8*6 - 12

RQ = 48 - 12

RQ = 36

Hence, the length of bar (RQ) is 36 units.