McGraw Hill Glencoe Geometry, 2012
MH
McGraw Hill Glencoe Geometry, 2012 View details
4. Inscribed Angles
Continue to next subchapter

Exercise 65 Page 730

Create a drawing and label the segments.

1/2

Practice makes perfect

Let's start by illustrating AC and its midpoint B.

A midpoint divides a segment into two equal parts. This means AB and BC are congruent. Therefore, we can equate the expressions. AC=AB+BC → AC= 2 BC Let's substitute the known measures and solve for m.
AC=2BC
8=2( 6-4m)
â–Ľ
Solve for m
8=12-8m
8+8m=12
8m=4
m=4/8
m=1/2