Register
PR = 9x -31 and QR = 43: Find xQ is the midpoint of PR
19.9k views
5 votes
PR = 9x -31 and QR = 43: Find xQ is the midpoint of PR

User TofferJ
by
4.0k points

1 Answer

1 vote

We can model the situation as:

Since Q is the midpoint of PR, QR and PQ have the same length, so PQ is also equal to 43.

Now, we can formulate the following equation:

PR = PQ + QR

So, replacing PR by 9x-31, PQ by 43 and QR by 43, we get:

9x - 31 = 43 + 43

9x - 31 = 86

Solving for x:

9x - 31 + 31 = 86 + 31

9x = 117

9x/9 = 117/9

x = 13

Answer: x = 13

PR = 9x -31 and QR = 43: Find xQ is the midpoint of PR-example-1
User Jnfingerle
by
4.2k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

4.5m questions

5.9m answers

Other Questions

PLEASE HELP !!!!!!!! THANK YOU line m includes the points (-5,3) and (-2,-6). Line n has the same slope as line m and a y-intercept of -2/3. Write the equation for line n in slope-intercept form.
I really need help!!!
Help, I really need help and I've been stuck on this one ^^^
Ten cupcakes cost 15$. How much does one cupcake cost?
Jay earns $50 per week plus $5.25 fro each hour worked in a given week Fred earnings are calculated using the formula p=6.25(x+8) where x is the number of hours Matt worked which statement is true. a.
Link Copied!