Find the value of x. round the answer to the nearest tenth, if needed. a. 4.8 b. 5.1 c. 8.2 d. 9.5

The answer is D

Step-by-step explanation:

In order to determine the "x" value, we use the thales theorem.

This theorem makes equalities between the sides and angles of a right triangle. I have attached an image that shows the  equality we need.

Let me explain the image:

Let AD be perpendicular to BC. We have ∠ABC=∠DBA and  ∠BAC=∠BDA=90°

So, hence by Thales theorem we have

:

In this case, AB=x ; BD=7 and BC=13.

Then:

Finally, the "x" value is 9.5

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

overpriced

step-by-step explanation: