What is the value of x? enter your answer in the box. units

Hello from MrBillDoesMath!

x = 27

Discussion:

Triangle DQC and DBR are similar by AAA so corresponding parts have the same ratio.

x /(x+18) = 39 /(39 + 26)    =>

x/(x+18) = 39/65                 =>  as 39 = 13*3 and 65 = 13 * 5

x/(x+18) = 3/5                      => cross multiply both sides by x+18

x = (3/5)*(x+18)                   => multiply both sides by 5

5x = 3(x+18)                        =>

5x = 3x + 54                        => subtract 3x from both sides

2x = 54                                =>

x = 27

Thank you,

MrB

27

Step-by-step explanation:

got it right on the quiz

  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).