Please need help ASAP! PLEASE PLEASE PLEASE PLEASE PLEASE!

Question

Question 1: Which of the following correctly shows the length of each radius, the point where the circles intersect, and the equation of the tangent line at this point?

A.) radius of ⊙ S: 4

radius of ⊙ T: 1

pt. of intersection: (4, 1)

eqn. of tangent line: y = 4

B.) radius of ⊙ S: 1

radius of ⊙ T: 4

pt. of intersection: (1, 4)

eqn. of tangent line: x = 1

C.) radius of ⊙ S: 4

radius of ⊙ T: 1

pt. of intersection: (1, 4)

eqn. of tangent line: y = 1

D.) radius of ⊙ S: 4

radius of ⊙ T: 1

pt. of intersection: (4, 1)

eqn. of tangent line: x = 4

Question 2: Given that ⊙M≅⊙N and XZ◠≅BC◠, find m∠XMZ.

A.) 204°

B.) 97.2°

C.) 72°

D.) 23.5°

Please give the explanations and the answers very quickly please!

Answer 1

Question1:

The radius of S is 4 and the radius of T is 1, so we can eliminate (b).

Where the two circles touch is their "point of intersection" and it is at (4,1), so we can eliminate (c) also.

The tangent line is a line that touches a circle in just one point. That would be a vertical line at x=4, so the equation of the tangent line is x=4. This eliminates (a) so correct answer is D.

Question 2:

Because the circles are congruent, and the arcs that are cut out by angle M and angle N are congruent, then the angles M and N must also be congruent. So set their algebraic expressions equal to each other:

6x-69 = 4x-22

and solve

2x = 47

x = 23.5 but this is NOT the final answer. It did not ask for "x", but instead the angle XMZ=6x-69

6(23.5)-69 = 72 degrees

Correct answer choice is C