Question

AC is tangent to circle O at A. If mBY= 64 degrees, what is mYAC?

Answer 1

1)B,15.9

2)D,78

3) D,243degreese

4) B,53.0

5)A,53.5 degreese

6)D,58 degreese

7) A,33 degreese

8) D,54 degreese

9) B,x=24.0

10) C, 35.9

11) Graph A

12) A, 45

13) C, x=14.3

14) A,48 degreese

15) C,x=266

16)essay *hint x=5 (you just have to find out how to get 5)
17) essay the position of the modle on a coordinate plan is (-6,-4) the radius of the signal has to be 6

18) essay The centre must be the midpoint of PQ

which would be C( (-10+4)/2 , (-2+6)/2 )

= C(-3,2)

radius is √( (4+3)^2 + (2-6)^2) = √65

equation:

(x+3)^2 + (y-2)^2 = 65

Explanation:

for ACA Connexus students unit 7 lesson 7 circles unit

There you are 100% correct you might wonna fix up the essay questions to match your own words

Answer 2

The correct answer is ∠YAC measures 58 degrees.

Please see the attached picture.

A line tangent to a circle is perpendicular to the diameter passing by the tangent point.

Therefore, we can say that ∠BAC = 90°

We also can infer from the picture that ∠BAC = ∠BAY + ∠YAC

Solve for ∠YAC:
∠YAC = ∠BAC - ∠BAY

We also know that the angle at the center (∠BOY) is twice the angle at the circumference (∠BAY), therefore:
∠BAY = (1/2) · mBY
= 0.5 · 64
= 32°

Now, substitute the values in the formula for ∠YAC:
∠YAC = ∠BAC - ∠BAY
= 90 - 32
= 58°

Hence, ∠YAC measures 58°.