100 POINTS ANSWER FAST!! Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.

Part A: Use complete sentences to explain the special relationship between the trigonometric ratios of triangles XYZ and ABC. You must show all work and calculations to receive full credit.

Part B: Explain how to find the measures of segments CB and AB. You must show all work and calculations to receive full credit.

Step-by-step explanation:

m giving you formulas that are labeled: side a shortest

                                                            "    b mid length

                                                            "    c hypotenuse

                                                         angle α(alpha)  opposite side a

                                                            "     β(beta)          "       "    b

                                                            "     γ(gamma)     "       "     c

A major formula for rt triangles is: a^2+b^2=c^2.

*Another is: a/sinα=b/sinβ=c/sinγ.

Remember α+β+γ=180°.

As for sides a&b use the above formula.  

As for <ACB; the angle is γ which is a rt <.

Given: tan<x=5/2+1/2=6/2=3atan=71.565°=β. So α=18.44°. γ= rt angle.

To get the sides use the formulas at *.

the first domain and range set to the left is matched with the top relation, and the second set the set in the middle goes with the bottom relation.