Find the measure of angle A

Angle A= 30

Step-by-step explanation:

A triangle has to equal 180 degrees so the first thing you have to do is subtract 180-70. You get 110 so the other two angles in the triangle have to equal 110.

Now you can solve the expression x+40+x+90=110

First combine like terms  2x+130=110

Then subtract 130 from both sides  2x=-20

Then divide by 2 x=-10

Then solve for a -10+40=30

So angle A = 30

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).