Triangle c d e is similar to triangle q r s and has a ratio of similarity of 4: 1. if side rs measures 8 inches, how long is side de?

Side DE = 32 inches

Explanation:

We are given that ΔCDE is similar to ΔQRS, this means that the corresponding sides are equal.

We are also given that the similarity ratio is

Now, we set the similarity ratio and equate it to as follows:

We are given that side RS = 8 inches. Substitute with this value in the above ratio and solve for DE as follows:

DE = inches

Hope this helps :)

step-by-step explanation:

this is not a question

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)