Question

Find the scale factor of ABCD to EFGH. (3y-2)/(6)=(2y+6)/(8+24)

Answer 1

To find the scale factor of ABCD to EFGH, cross multiply to eliminate the denominators and solve for the variable. The scale factor of ABCD to EFGH is -47/21.

Step-by-step explanation:

To find the scale factor of ABCD to EFGH, you need to solve the equation (3y-2)/(6)=(2y+6)/(8+24). Here's how:

1. Cross multiply to eliminate the denominators: (3y-2)(8+24) = (6)(2y+6)
2. Distribute: 96y - 64 + 288 = 12y + 36
3. Combine like terms: 96y + 224 = 12y + 36
4. Isolate the variable: 96y - 12y = 36 - 224
5. Simplify: 84y = -188
6. Divide both sides by 84: y = -188/84
7. Simplify the fraction: y = -47/21

Therefore, the scale factor of ABCD to EFGH is -47/21.