The intersecting secant-tangent theorem says that

where T is the point at which line segment PO touches the circle. Similarly,

so we have

OP is of course as long as itself, and AO and BO are radii of the same circle so they have the same lengths.
This means triangles APO and BPO are congruent, which means angles APO and BPO are congruent, so angle APB is bisected by PO.
Answer:
Answers for 1-126
Step-by-step explanation:
a. x + 8 = 21
-8 -8
x = 13
b. x - 32 = 55
+32. +32
x = 87
c. 3x = 54
÷3. ÷3
x = 18
d. x/5 = 10
×5. ×5
x = 50
Answer for 1-124
1/5 = 2/10 , so 2 of the 10 colors are blue and 3 of the 10 colors are green.
The probability is 5/10 = 1/2
this is all I could do. sorry
Answer:
-6
Step-by-step explanation:
The slope of a line is given with the formula

Using the first two points, (-2, 8) and (-1, 2), we have
m = (2-8)/(-1--2) = -6/(-1+2) = -6/1 = -6
Answer:
A) f^-1(x)=(x-8)^3+2
Step-by-step explanation:
To find the function inverse, switch the x with y and solve for y.
![y=\sqrt[3]{x-2}+8 \\\\x=\sqrt[3]{y-2}+8\\\\(x-8)^3 = y-2\\\\ (x-8)^3 + 2 = y](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7Bx-2%7D%2B8%20%5C%5C%5C%5Cx%3D%5Csqrt%5B3%5D%7By-2%7D%2B8%5C%5C%5C%5C%28x-8%29%5E3%20%3D%20y-2%5C%5C%5C%5C%20%28x-8%29%5E3%20%2B%202%20%3D%20y)