Question

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and cos ∠X = 2 and 5 tenths over 5 and 59 hundredths.

Answer 1

When the triangle XYZ is dilated by a scale factor of 2, the resulting triangle ACB would have a bigger side lengths

How to determine the relationship between the trigonometry ratios?

From the question, we understand that:

The dilation of triangle XYZ gives triangle ACB

This means that, the following points are corresponding:

X and A

Y and C

Z and B

So, the relationships between the trigonometry ratios are:

sin(X) = sin(A)

sin(Y) = sin(C)

sin(Z) = sin(B)

How to determine the measures of segments CB and AB?

Segments CB and AB are corresponding to the segments YZ and XZ, respectively

So, we multiply the values of YZ and XZ to get the lengths of CB and AB,

i.e.

CB = 2 * YX

AB = 2 * XZ

Read more about dilation at:

brainly.com/question/26332230