30. is just asking where the two equations graphed intersect each other...
x = -3 and x = 1 for intersections.
QRS = DRS + QRD
167 = x + 143 + x + 30
167 = 2x + 173
-2x = 173 - 167
-2x = 6
x = 6/-2
x = -3
DRS = x + 143
= (-3) + 143
= 140
Angle ABC is an inscribed angle so would be half of the arc.
So, 4x-5.5=1/2(5x+25)
4x-5.5=5/2x+25/2
4x-5.5=2.5x+12.5
4x-2.5x=12.5+5.5
1.5x=18
x=12
So angle ABC=4(12)-5.5=48-5.5=42.5
Arc AC=5(12)+25=60+25=85
Check: 42.5(2)=85
Answer: Arc AC is 85
Answer:
A
Step-by-step explanation:
hope i helped you out :)