The angles measuring xx and 2x form a linear pair (straight angle) so the sum of their measures is 180°. Hence,

x+2x=180

3x=180

x=60

x+2x=180

3x=180

x=60

Question

asked 2021-01-02

The parallel lines at the right are cut by a transversal. Find the value of x.

a. Angles 1 and 2 are corresponding angles, \(\displaystyle{m}∠{1}={45}°\), and \(\displaystyle{m}∠{2}={\left({x}+{25}\right)}°\).

b. Angles 3 and 4 are alternate interior angles, \(\displaystyle{m}∠{3}={2}{x}°\), and \(\displaystyle{m}∠{4}={80}°\).

a. Angles 1 and 2 are corresponding angles, \(\displaystyle{m}∠{1}={45}°\), and \(\displaystyle{m}∠{2}={\left({x}+{25}\right)}°\).

b. Angles 3 and 4 are alternate interior angles, \(\displaystyle{m}∠{3}={2}{x}°\), and \(\displaystyle{m}∠{4}={80}°\).

asked 2020-12-28

Use what you just learned about negative slopes to solve this problem.
A storm moves at a rate of 8 miles per hour. It is 200 miles away from Freeport and headed directly for this town. The equation y = 200 - 8x can be used to represent this function. Identify the slope and y-intercept and explain what they represent.

asked 2021-01-19

Given linear equation y = -1+2x

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

asked 2020-11-02

Given linear equation y = 3+4x

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

asked 2020-11-05

Given linear equation y = -0.75x-5

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

asked 2021-01-04

Given linear equation y = 6 − 7x

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

asked 2020-12-21

Given linear equation y = -8-4x

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

asked 2020-11-29

Given linear equation y = 1.5x

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

asked 2020-12-06

Given linear equation y = -3x

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c. use two points to graph the equation.

asked 2021-02-25

Given linear equation y = -3

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c.use two points to graph the equation

a. find the y-intercept and slope.

b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.

c.use two points to graph the equation