Me asap! !
triangle xyz was dilated by a scale factor of 2 to create triangle abc and sin angle x = 5/5.59.
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. (5 points)
part b: explain how to find the measures of segments cn and ab. you must show all work and calculations to receive full credit. (5 points)

part a) ratios of corresponding sides are equal

part b) cb=10

            ab=11.18

step-by-step explanation:

given:

δabc= 2δxyz

sinx=5/5.59

from trigonometric ratios we know

sinx=opposite side/hypotenuse

thus zy=opposite side=5

and xz= hypotenuse= 5.59

from pythagoras theorem we get

c^2= a^2 + b^2

xz^2=yz^2 + xy^2

5.59^2= 5^2 +xy^2

xy^2=6.2418

xy=2.5

part a)

when a triangle is multiplied or scaled by k, a constant scalar number to form another triangle then these two triangle are similar. and similar triangles have proportional lengths of corresponding sides. ratios within the triangle sides will be equal to the corresponding sides ratios of the other triangle. that is

xy/yz= ac/bc

xz/yz= ab/cb

yz/xz= bc/ab

          = ab/ac

part b)

from part a we know that

bc/ab=yz/xz

also yz/xz= 5/5.59

so bc/ab= 5/5.59

the scalar factor= 2

corresponding side of cb is yz, so

cb=2(yz)

      = 2(5)

      = 10

corresponding side of ab is xz, so

ab=2(xz)

      = 2(5.59)

      = 11.18!

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: