Answer:
D. 18.5
Step-by-step explanation:
Given:
FM = 11
MG = 3
PM = 2,
Required:
Measure of PQ
SOLUTION:
PQ = PM + MQ
We know that, PM = 2. But we don't know the measure of MQ.
Based on the Intersecting Chords Theorem,
[tex] FM*MG = PM*MQ [/tex]
Plug in the values
[tex] 11*3 = 2*MQ [/tex]
[tex] 33 = 2*MQ [/tex]
Divide both sides by 2
[tex] \frac{33}{2} = MQ [/tex]
[tex] 16.5 = MQ [/tex]
MQ = 16.5
✍️PQ = PM + MQ
Plug in the values
PQ = 2 + 16.5
PQ = 18.5
