Answer:
A. 109
Step-by-step explanation:
We know that since AB = CB, then ΔABC is isosceles.
Since AC, one of the sides of ΔABC, is on the diameter of circle D, by definition, we know that ΔABC is also a right triangle. Thus, if ΔABC is an isosceles right triangle, then ∠BAC = ∠BCA = 45°.
Draw a line connecting D to B so that we now have isosceles triangle BDC. Since arc BC is 52°, by definition of central angles, ∠BDC is also equal to 52°. Then, ∠DBC = ∠DCB = (180 - 52)/2 = 64°.
∠BCE = ∠DCB + ∠BCA
∠BCE = 64 + 45 = 109°
The answer is thus A.
<em>~ an aesthetics lover</em>
Answer:
-6, -5, -4, -3, and -2
n≥-6
Step-by-step explanation:
Multiply both sides by 2
n≥-6
so the values that make this true are -6, -5, -4, -3, and -2
this is approximately 6 to 200
divide both by 2
3 to 100
3 to 10^2
3 out of 100
He should use the Pythagorean Theorem to find the missing length.
Since KT is tangent to the circle and TL reaches the center of circle L, the measure of angle LTK is 90 degrees. This means that triangle LTK is a right triangle which means the Pythagorean Theorem can be used.
So,
TL²+(12)²=(13)²
=> TL²+144=169
=> TL²=25
=> TL = 5
Therefore, the radius of circle L is 5 feet.
