Question

Pls help me answer this asap thank you

Answer 1

33

Explanation:

Using the Intersecting Chords Theorem

For any two Intersecting Chords ---> UC*CW=TC*CV

By Substituting ---> 12(2x+5)=14(2x+2)

By Expanding ---> 24x+60=28x+28

Then --> 28x-24x=60-28

Then --> 4x=32

So x=32/4=8

Now to get UW,, UW=UC+CW=12+(2x+5)=2x+17

By Substituting by x=8

UW=2x+17=2*8+17=33