Question

In the figure, QR≅ST. What is the length of QR ?

There are 2 chords inside the circle parallel to each other on opposite sides of the circle. Chord QR=7x+3 and Chord ST=5x+25

Answer 1

To find the exact length of QR without x, we will have to solve for x first.
If QR = ST, we will use that equation. We will put in the given values of the lines and solve for x.
7x + 3 = 5x + 25
Subtract 5x to both sides:
2x + 3 = 25
Subtract 3 to both sides:
2x = 22
Divide 2 to both sides:
x = 11
Now that we have the value of x, we will solve QR.
7x + 3
Substitute:
7(11) + 3
77 + 3
QR = 80

Hope this helped