Answer:
146°
Step-by-step explanation:
Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m arch AB=64° and ⦣ABC=73°, m ⦣ABC=__ ° and m arch AC=__ °.
Solution:
Given that:
arc AB = 64° and ⦣ABC=73°
The Central Angle Theorem states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points. The inscribed angle is any point along the outer arc AB and the two points A and B.
Therefore arc AC is the central angle of ⦣ABC. Using the central angle theorem gives:
arc AC = 2 * ⦣ABC
substituting:
arc AC = 2 * 73
arc AC = 146°
The slope is 1/3 because in order to get from point (3,1) to (6,2) you need to rise 1 and go over 3
Answer:
y = 15
Step-by-step explanation:
angle poq + angle qor equals mpor (120)
4y + 3y + 15= 120
7y+15=120
subtract 15 from both sides
7y=150
divide both sides by 7
y=15
check:
4(15) + 3(15) + 15 equals 120
60 + 45 + 15 = 120
120 = 120
Sum = 20(1-(1/4)^5) / (1-1/4) = 26.64
