Question

MNOP is similar to QRST with a scale factor of 5:4. MP=85MM. What is the value of QT?
A) 60mm B)68mm C)84mm D)106.5mm

Answer 1

"congruent ... with a scale factor"? What does that even mean? I think it means "similar". Why are we inventing new terms?

MP:QT :: 5:4 :: 85:What

Answer 2

i meant similar sorry... @tkhunny

Answer 3

And, what solution did you produce?

Answer 4

none.. because i dont know how to do it... im horrible at geometry

Answer 5

@tkhunny

Answer 6

You've never done a Proportion of any kind? This cannot be.

Answer 7

It's 5:4. The answer must be less than 85. How much less?

Answer 8

one..??? @tkhunny

Answer 9

5:4 is a 20% decrease. Is 1 20% of 85?

No guessing. Think through it.

Answer 10

68... im honestly terrible at this

Answer 11

wait it is 68 because the 20% decrease of 85 is 17 and 85-17 is 65.. right? @tkhunny

Answer 12

\(\dfrac{5}{4} = \dfrac{85}{QT} \rightarrow QT = 85\cdot\dfrac{4}{5} = 68\)

See, you CAN do it! Good work.

Take a good look at the "Proportion" solution I jsut presented. Very useful technique.

Answer 13

thanks!!!

Answer 14

You are welcome. Keep trying. You WILL get it!!