In the diagram below of triangle BCDBCD, EE is a midpoint of \overline{BC} BC and FF is a midpoint of \overline{CD} CD . If EF=44-8xEF=44−8x, and BD=44-5xBD=44−5x, what is the measure of BDBD?

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1

by definition, an arc subtended by a central angle of some given measure has the same measure. so .