5. In the right triangle shown below, the length of side AB is x, the length of side BC is x + 2, and the length of the hypotenuse AC is x + 4. Use this information to find the length of each side. (Use the Pythagorean theorem to get
an equation, and solve for x.)

I need an answer quick!!!
It’s from the problem set to lesson 17 M.1

Step-by-step explanation:

The picture of the triangle is missing.

Given

Required

Find x

When Pythagoras theorem is applied, we have:

This is so, because AC is the hypotenuse

So, we have:

Open brackets

Collect Like Terms

Expand:

Factorize:

Split

or

or

or

Because and

can not be considered.

Hence:

Substitute 6 for x in

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.