Question

Find the value of x. A: 15 B: 12 C: 10 D: 8

Answer 1

Answer:

$\boxed{\sf C. \ 10}$

Step-by-step explanation:

$\sf The \ intersecting \ chord \ theorem \ states \ that \ the \ products$

$\sf of \ the \ lengths \ of \ the \ line \ segments \ on \ each \ chord \ are \ equal.$

$NH \times HT = MH \times HY$

$(x+20) \times 8=12 \times 20$

$\sf Expand \ brackets \ and \ multiply.$

$8x+160=240$

$\sf Subtract \ 160 \ from \ both \ sides.$

$8x+160-160=240-160$

$8x=80$

$\sf Divide \ both \ sides \ by \ 8.$

$\displaystyle \frac{8x}{8} =\frac{80}{8}$

$x=10$

Answer 2

Answer:

C) 10

Step-by-step explanation: