The length of ab is 9 centimeters. a dilation with a scale factor of 2 is applied to ab . what is the length of the image of ab after the dilation is applied? enter your answer in the box

Scale factor(k) defined as:

As per the statement:

The original length of AB is 9 centimeters.

A dilation with a scale factor of 2 is applied to AB.

⇒k = 2

We have to find the length of the image of AB after the dilation is applied.

Using definition of scale factor:

Substitute the given values we have;

Multiply both sides by 9 we have;

or

therefore, the length of the image of AB after the dilation is applied. is, 18

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet