Question

Segments in Circles TW=3, CW=x, TU=x+7, VW=6. Find the value of x.

Answer 1

Answer:

x=2

Step-by-step explanation:

The diagram is attached below

• TW=3
• CW=x
• TU=x+7
• VW=6

TU=TW+WU

x+7=3+WU

WU=x+7-3

WU=x+4

To determine the value of x, we apply the theorem of intersecting chords.

TW X WU = CW X WV

$x(x+4)=6 \times x\\x^2+4x=6x\\x^2=6x-4x\\x^2=2x\\ Divide both sides by x\\x=2$