12.8k views
1 vote
Find x y and z. Thanks!

Find x y and z. Thanks!-example-1
User ArashM
by
4.5k points

1 Answer

4 votes

Answer:

x = 6, z = 5.66 to nearest hundredth.

y = 90 degrees.

Explanation:

From the chord intersection theorem 12*4 = 8 * x

So x = 6.

By the tangent / chord theorem:

z^2 = 2 * (12+4)

z^2 = 32

z = 5.66.

I'm not 100% sure of the value of angle y but I think its

1/2(100 + 80) = 90 degrees.

I'll try and check that out.

Yes that is right.