Draw an acute triangle. From the top point draw a line straight line down. From the point again draw a line going to the right down. You should have 3 sections.

Question

QR is congruent to ST 

QS= 5X+17

RT= 10- 2X

RS= 3 

 

Actual question:

4. Find QS 

Find QT 

Answer 1

Since QR is congruent to ST

then QS is congruent to RT.

 

QS = RT

 

Plug the expressions they gave you for QS and RT.

 

5x+17=10-2x

 

Now solve for x

 

Add 2x to both sides

 

7x+17=10

 

Subtract 17 from both sides.

 

7x=-7

 

Divide by 7

 

X=-1

 

Now for the question "find QS"

 

We know QS =5x+17

 

Plug in -1 for x.

 

5(-1)+17

 

So QS =12

 

Then for the question "Find QT"

 

If QS is 12 and RS IS 3 THEN QR must be 9.

 

ST is congruent to QR so ST must also be 9.

 

So the 3 pieces across the bottom from left to right are 9, 3 and 9

 

Add those together to get QT

 

QT is 9+3+9=21