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 Correct choice is ~ D
The given triangles are not congruent, because they they just have all their corresponding angles equal to one another, so we need more information ~
Answer:
1.875
Step-by-step explanation:
Answer:
B) 7 gallons
Step-by-step explanation:
car begins with 12 gallons and, at a rate of 29 mpg, would allow the car to travel for 348 miles
car only traveled 140 miles so 208 miles more can be driven
208÷29 is approx 7 gallons
Answer:
2/35
Step-by-step explanation:
If you convert 17 1/2 to a improper fraction, it becomes 35/2. Then to find the reciprocal, flip the numerator and denominator. So, 2/35
Hope this helps!
