If l||m and the measure of angle 7 is twice the measure of angle 2, then the measure of angle 7 is

If l||m and the measure of angle 7 is twice the measure of angle 2, then the measure of angle 7 is

angles 2 and 7 equal 180 degrees.  180 = 2x + x

180 = 3x

x = 60

angle 7 is twice x

angle 7 = 120

Step-by-step explanation:

Given that l and m are two parallel lines and angle 7 and 2 are interior angles.

Angle 7 = twice angle 2

Let measure of angle 2 be x

Then measure of angle 7 = 2x

Since in parallel lines alternate angles are supplmenetary we have

sum of angle 7 and angle 2 form 180 degrees

i.e. x+2x =180

3x=180

x=60

Hence answer is angle 2 is 60 degrees and angle 7 is 120 degrees.

  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).

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23