Answer:
81°
Step-by-step explanation:
Points A, B and C lie on the circle. A and C are endpoints, B is the vertex of the angle ABC. Angle ABC is inscribed angle subtended on the arc AC with measure 192°.
The measure of the inscribed angle subtended on the arc is half the measure of the central angle subtended on the same arc. The measure of the central angle is the same as the measure of the arc, so
Let 11x + 15y + 23 = 0 be equation (1)
And 7x - 2y - 20 = 0 be equation (2)
Multiply equation (1) by 2:
22x + 30y + 46 = 0
Multiply equation (2) by 15:
105x - 30y - 300 = 0
Add equations (1) and (2):
22x + 105x + 30y - 30y + 46 - 300 = 0
127x - 254 = 0
127x = 254
x = 254/127
[x = 2]
Substitute x = 2 in equation (1) to find y:
11(2) + 15y + 23 = 0
22 + 15y + 23 = 0
15y + 45 = 0
15y = -45
y = -45/15
y = -3
Therefore, x = 2 and y = -3.
Answer:
0.084
Step-by-step explanation:
0.42 * 0.2 = 0.084