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AX is the perpendicular bisector of QS at M.
What is m
&& If QM=30, what is QS?

2006-09-11 10:18:55 · 7 answers · asked by crazybrunette1991 2 in Science & Mathematics Mathematics

7 answers

................A.....................
.................|.......................
.................|.....................
................ |.. Q --------------------- S
..<-30->..M................
.................|......................
.................|......................
.................X.....................

A perpendicular bisector forms an angle of 90 degrees
m < AMS = 90

QS = QM + MS
but QM = MS cause AM bisects QS
QS = 2QM = 60

2006-09-11 10:37:25 · answer #1 · answered by Andy S 6 · 0 2

AX is the perpendicular bisector of QS at M.

that itself tells that the two lines are perpendicular to each other.

therefore the angle M , that is
Also since AX is the bisector which means it divides QS into two equal halves.

Therefore QM = MS

QM = 30 [given]
QS = QM + MS
= 30 + 30
= 60

2006-09-11 17:35:39 · answer #2 · answered by Maddy 1 · 0 0

Perpendicular means to intersect at a right angle! And how many degrees are in a right angle? NOT 45!

A bisector divides a line segment into two congruent (equal) segments, so if QM is 30 then MQ would also equal ?
Making the whole segment a total of the parts (QM and MS). (add them together)

Being the teacher I am I will help but never give an actual answer!

Also, check your book and notes for definitions, please.

2006-09-11 17:37:29 · answer #3 · answered by klosi4 1 · 0 0

Perpendicular means at a right angle (90 degrees). If AX is perpendicular to QS, then the angle m (
Bisector means "cut in half" or into "two equal parts." If QM=30 then MS must also = 30, so QS = 60.

2006-09-11 17:32:49 · answer #4 · answered by Richard 7 · 5 0


QS is twice the value of QM

2006-09-11 17:45:15 · answer #5 · answered by whatthe 3 · 0 0

Damn it, pay attention in class and you won't have to ask freakin' homework questions here!!! Or if you really need extra help how about asking HOW to solve the problems rather than the answers?

2006-09-11 17:26:04 · answer #6 · answered by chelle 4 · 1 2

m
QS = 60

2006-09-11 17:26:28 · answer #7 · answered by Anonymous · 0 0

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