19 Kayla's car can hold 15 gallons of gas. She gets 20.5 miles per gallon The tank is full. About how far can Kayla drive if she
1 answer:
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Answer:
x = 70°
Step-by-step explanation:
Clockwise from top, call the three tangent points A, B, and C. Central angle AXC is the supplement of the marked external angle, so is 140°. Arc AB is bisected by the upper ray of angle x; and arc BC is bisected by the lower ray of angle x. That is to say x is half the measure of arc AC, so is 70°.
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Attached is the output of a geometry program. The angle at lower left is 40° as in the given figure. The central angle α (70°) remains the same as tangent point C is moved around, which is to say that the measure of the angle α does not depend on the dimensions of the triangle containing α. It just depends on the fact that the triangle is tangent to the circle.
Answer:
=
=
Step-by-step explanation:
You multiply 9 x 3=27
(leave 1/3 alone, it's already good)
you have a 27/3-1/3
(subtract those)
your answer is 26/3
(see answer above for decimal form and mixed fraction form)