+129850 1.
a radii = AC and AD tangents = EC and ED
b AED forms a right triangle with hypotenuse AC = 17 and leg AC = 8
Using the Pythagoren Theorem, DE = sqrt [ AC^2 - AC^2 ] = sqrt [ 289 - 64 ] =
sqrt [ 225] = 15
2. B is translated up 1 unit and to the left 9 units
The scale factor is 2
Don't know what "conclusion" they want
3. Angles O and Q are supplementary...so
(x + 17) + ( 6x - 5) = 180
7x + 12 = 180 subtract 12 from both sides
7x = 168 divide both side by 7
x = 24
P and R are also supplementary...so
y + (2x + 19) = 180
y + (2*24 + 19) = 180
y + 67 = 180 subtract 67 from both sides
y = 113
Angle O = x + 17 = 24 + 17 = 41 degrees
Angle Q = 6(24) - 5 = 139 degrees
Angle P = y = 113 degrees
Angle R = 2(24) + 19 = 67 degrees
Arc RP = 2 * measure of angle O = 2 * 41 = 82 degrees
