In the diagram of a gate, the horizontal bars are parallel and the vertical bars are parallel. Find x and y. Complete the explanation indicating which postulates and/or theorems were used to find the values. 161°
(14x + 7y)° gate4 71°
(5x + 7y)°

x =
y =

(14x + 7y)° =
° by the
(select)
and (5x + 7y)° =
° by the
(select)
.

The average hourly earnings for a construction worker is projected to be $24.50 in 2012. jason wants to join the construction work force after he graduates in 2012. his friend tells him that average hourly earnings for construction workers will rise by 2% from 2009 to 2012. based on the data below, assuming that the projected hourly earnings are correct, is jason’s friend’s statement accurate? construction industry - average hourly earnings, 2000-2009 a. his friend’s statement is accurate. the average hourly earnings will increase by 2%. b. his friend’s statement is not accurate. the percent increase will be more than 2% c. his friend’s statement is not accurate. the percent increase will be less than 2% d. his friend’s statement is not accurate. the average hourly earnings will decrease

Use the quadratic formula to solve the equation. if necessary, round to the nearest hundredth. x^2 - 20 = x a. 5, 4 b. -5, -4 c. -5, 4 d. 5, -4

Explain why the factor 1.5 is broke. into two numbers in the model.