In parallelogram ABCD, if AO = 4x + 12 and OC = 5x – 6 what is the
length of AC (be careful)

Step-by-step explanation:

The sides of a parallelogram are equal. If O is the midpoint of its diagonal AC, them AO+OC = AC

Given

AO = 4x + 12 and

OC = 5x – 6

Required

AC

AC = 4x+12 + 5x-6

AC = 4x+5x+12-6

AC = 9x+6

Hence the length of AC is 9x+6

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.  

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°