Answer:
z = 110
Step-by-step explanation:
The measure of an angle created by the intersection of two secants outside a circle is half the difference of the angles it intercepts. In this it would be:
2x + 15 = 1/2 * (10x + 20 - 80)
We can now solve:
4x + 30 = 10x - 60
30 = 6x - 60
6x = 90
x = 15
This means the values of 10x + 20 is 10(15) + 20, which is 170.
Now, we can add up all the arcs in a circle, which sum to 360 degrees:
360 = z + 170 + 80
360 = z + 250
z = 110
Answer:
slope = - 
Step-by-step explanation:
the slope of the secant line in the closed interval [a, b ] is
slope = 
here [a, b ] = [1, 4 ]
f(b) = f(4) = -
+ 5 = - 16 + 5 = - 11
f(a) = f(1) = -
+ 5 = - 2 + 5 = 3
slope =
=
= - 
Answer: x=14.4
Step-by-step explanation: