I found the image that should have accompanied this problem.
The triangle inside the circle is an isosceles triangle. It has 2 equal sides and 2 equal angles.
Angle A = 70° , Angle C is also 70°. This leaves angle R having 40°.
The arc opposite angle R is twice the measure of its angle.
Angle R = 40°
Arc AC = 40° x 2 = 80°
The measure of arc AC is 80°.
Answer:
(a) 4 miles
(b) 8.9 miles
Step-by-step explanation:
(a) Theorem 1: In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of these two segments.
Hence, the distance d between the park and the library is

(b) Theorem 2: In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.
Thus, the distance D between the park and the football field is

Answer:
the answer is C
Step-by-step explanation:
Step-by-step explanation:
2x-4x=1
-2x=1
x=-1/2
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