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

1 year agoWell? What's the relationship between PS and SR?

1 year agothey're collinear?

1 year agoThey'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'?

1 year agogreen, are you good at geometry/cal?

1 year agoI don't get it

1 year agodo we need to make them equal, and solve?

1 year agoQS 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.

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

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

1 year agoIt all depends on the question.

1 year agoAnyway, @eviant can you set those two equal to each other and solve?

1 year ago50?

1 year agois what i came up with

1 year agoNot quite, try again. You can do it step-by-step here if you want.

1 year agoI have to subtract 20 from both sides

1 year agoWait no, it's being subtracted. So we have to do the opposite.

1 year agoso, add

1 year ago\(\sf 2x - 20 = 70 - x\) Yes

1 year agoWhat are you left with?

1 year agoso, it'd be 2x-40=70-20x?

1 year agoWhat? No...add 20 to both sides: \(\sf 2x-20\color{red}{+20}=70-x\color{red}{+20}\)

1 year agonow, subtract,?

1 year agoor divide?

1 year agoSimplify it... -20 + 20 = ? 70 + 20 = ?

1 year ago90

1 year agoand 0

1 year agoYes..so we're left with: \(\sf 2x=90-x\) Now what do we do?

1 year agodivide, so the answer is 45?

1 year agoNo, we still have to get rid of that other 'x'...what do we do to it?

1 year agosubtract it?

1 year agoIt's being subtracted from the 90. We have to do the opposite.

1 year agoso, add it, 90+x

1 year agoAdd it to both sides. The whole point is to get rid of the 'x' on the right side. \(\sf 2x\color{red}{+x}=90-x\color{red}{+x}\)

1 year ago2x + x = ? -x + x = ?

1 year ago3x?

1 year agoYes, and...?

1 year ago90 divide by 3=30?

1 year agoso, 30 is the answer?

1 year agoYep, you got it.

1 year ago