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4 years ago

PLEASE HELP!!!what is the length of segment SR? units

Mathematics

2 answers:

vladimir1956 [14]4 years ago

3 0

According to the attachment at point it makes the angle of 90° with both triangles, so;
SR = SQ
2x + 8 = 8x - 4
and if we find the value of x, we will find the value of line segment SR
8x -2x = 8+4
6x = 12
x = 12/6
x = 2
now put the value of x in SR = 2x + 8 = 2(2) + 8 = 4 + 8 = 12
SR = 12

Nadya [2.5K]4 years ago

3 0

Applying the Perpendicular Bisector Theorem

SR=SQ

2x + 8 = 8x - 4 → subtract 2x

8 = 6x - 4 → add 4 from both sides

12 = 6x → divide 6

x = 2 → now plug it in.

2(2) + 8 → multiply

4 + 8 → add

SR= 12

What is the length of segment SR?

12 units

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