Answer:
Part 1) 
Part 2) 
Part 3) 
Step-by-step explanation:
Part 1) Find the measure of angle ECF
we know that
CF is tangent at point C
so
the radius EC is perpendicular to the tangent CF
therefore

Part 2) Find the measure of angle AKB
we know that
The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite

substitute the values

Part 3) Find the measure of angle ACF
we know that
The inscribed angle is half that of the arc it comprises

substitute the values

Answer:<em> </em><em>a)</em> 
<em> b) x₁ = - 14; x₂ = 6.</em>
Step-by-step explanation:
a) 4x² + 9x - 2 = 0
b) x² + 8x - 84 = 0

Answer:
a. 405/4
b. 1/32
Step-by-step explanation:
a. (5x8 + 5) / 8 x 18
= 45/8 x 18
= 405/4
b. 3/8 ÷ 12
= 3/8 x 1/12
= 1/32
Answer:
30 degrees
Step-by-step explanation:
first find the angle of the other angle that is not found
180-100=80 degrees
since all angles of triangle add up to 180 degrees..
180-80-70= 30 degrees