The measure of arc AC is 40°
Step-by-step explanation:
In any circle the measure of an inscribed angle is one-half the measure of its subtended arc
In circle O
∵ ∠BAC is an inscribed angle subtended by arc BC
∴ m∠BAC = m arc BC
∵ m∠BAC = 70°
- Substitute it in the the expression above
∴ 70 = m arc BC
- Multiply both sides by 2
∴ 140 = m arc BC
∴ The measure of arc BC is 140°
∵ AB is a diameter
- The diameter divides the circle into two equal arcs
∴ m of arc ACB = measure of the circle
- The measure of the circle is 360°
∴ m of arc ACB = (360°)
∴ m of arc ACB = 180°
∵ m arc BC + m arc AC = m arc ACB
∴ 140° + m arc AC = 180°
- Subtract 140 from both sides
∴ m arc AC = 40°
The measure of arc AC is 40°
Answer:
64
Step-by-step explanation:
4³ = 4 · 4 · 4
4 · 4 · 4
16 · 4
64
1(2)-31+1(2)²+41-3(2)²-1-5-2(2)²¹
=2-31+4+41-12-1-5-4194304
= -4194304