252,555 views
41 votes
41 votes
R is the midpoint of Qs.If Qr=4x and Rs=x+9 what is QrI’ll mark you brainlidt

R is the midpoint of Qs.If Qr=4x and Rs=x+9 what is QrI’ll mark you brainlidt-example-1
User Walknotes
by
2.9k points

1 Answer

26 votes
26 votes

Answer:

The value of QR is 12.

Explanation:

We are given that R is the midpoint of QS, and by definition of a midpoint we know that R is equidistant from the endpoints of segment QS. Therefore, we know that the length of QR is equal to the length of RS. Now we can form an algebraic equation with the values of the segments: 4x = x+9. Now we can subtract x from both sides of this equation to get 3x = 9. Now we can divide both sides by 3, to get that x = 3. Now we can plug this number into the expression 4x, to get the value of QR to be 12.

User Kyle Monti
by
2.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.