Question

PLS HELP!!!
QS is the perpendicular bisector of PR . Solve for x.
https://dlap.gradpoint.com/Resz/~yUA6AAAAAAQzi_EEDSiPwA.-c1n8jFGR2INWft2KDocAD/7234256,F04/Assets/questions/quiz/geometry/geoconst/geoconst-g-17.png

Answer 1

Well? What's the relationship between PS and SR?

Answer 2

they're collinear?

Answer 3

They're the same. QS bisects PR, which means PS and SR must be the same. Based on that, what can we do to solve for 'x'?

Answer 4

green, are you good at geometry/cal?

Answer 5

I don't get it

Answer 6

do we need to make them equal, and solve?

Answer 7

QS bisects PR. That means that PS and SR have to be equal to each other, since bisect means to divide equally in half.

PS is 2x - 20
SR is 70 - x

We can set these two equal to each other.

Answer 8

@BenLindquist Uh, what's your problem? It's been a year since I've taken Calculus, dunno how much of it I'd remember.

Answer 9

I might need help with geometry mostly. I have cal as an elective

Answer 10

It all depends on the question.

Answer 11

Anyway, @eviant can you set those two equal to each other and solve?

Answer 12

50?

Answer 13

is what i came up with

Answer 14

Not quite, try again. You can do it step-by-step here if you want.

Answer 15

I have to subtract 20 from both sides

Answer 16

Wait no, it's being subtracted. So we have to do the opposite.

Answer 17

so, add

Answer 18

\(\sf 2x - 20 = 70 - x\)

Yes

Answer 19

What are you left with?

Answer 20

so, it'd be 2x-40=70-20x?

Answer 21

What? No...add 20 to both sides:

\(\sf 2x-20\color{red}{+20}=70-x\color{red}{+20}\)

Answer 22

now, subtract,?

Answer 23

or divide?

Answer 24

Simplify it...

-20 + 20 = ?
70 + 20 = ?

Answer 25

90

Answer 26

and 0

Answer 27

Yes..so we're left with:

\(\sf 2x=90-x\)

Now what do we do?

Answer 28

divide, so the answer is 45?

Answer 29

No, we still have to get rid of that other 'x'...what do we do to it?

Answer 30

subtract it?

Answer 31

It's being subtracted from the 90. We have to do the opposite.

Answer 32

so, add it, 90+x

Answer 33

Add it to both sides. The whole point is to get rid of the 'x' on the right side.

\(\sf 2x\color{red}{+x}=90-x\color{red}{+x}\)

Answer 34

2x + x = ?
-x + x = ?

Answer 35

3x?

Answer 36

Yes, and...?

Answer 37

90 divide by 3=30?

Answer 38

so, 30 is the answer?

Answer 39

Yep, you got it.