Alternate exterior angles are angles that lie outside of the two parallel lines that are cut across by the transversal line, and are also alternating each other along the transversal

Considering the image and the options given, <MLJ and <NOQ are exterior angles that alternate each other. Therefore, they are alternate exterior angles.

7 0

3 years ago

What is the measure of angle x enter your answer is the box

evablogger [386]

Answer:

83 degrees

Step-by-step explanation:

vertical degrees show that angles across from one another have the same value. All three angles will add up to 180 degrees. Subtract both 56 and 41 from 180 degrees to get a remainder of 83.

7 0

4 years ago

Read 2 more answers

Write an equation of the line below

Ratling [72]

Answer:

y = 3/5 + 4

Step-by-step explanation:

Given Coordiantes:

(0,4) - Y-intercept

(5,7) - Coordinates

To make an equation, first find the slope.

$m=\frac{rise}{run} =\frac{y}{x}$

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

$m=\frac{7-4}{5-0}$

$m=\frac{3}{5}$

In decimals:

$m = 0.6$

Now convert to point slope.

$y-y_{1} =m(x-x_{1} )$

$y-4=\frac{3}{5} (x-0)$

In decimals:

$y-4=0.6(x-0)$

Now convert to slope-intercept form.

Find the Equation of the Line:

$y=mx+b$

by solving for y using the Point Slope Equation.

y = 3/5 + 4

8 0

3 years ago

Suppose Randolph decides that the radius of his pool will be 50 meters. What volume of water, in cubic meters, will be needed to

tangare [24]

If we assume the pool to be a semi sphere, then the volume would be

V pool = 1/2 * [4/3*pi*r**(3)]

where r is the radius = 50m

V pool = 1/2 * [4/3*3.14*50**(3)]

V pool = 261799.3878 m³

If we round up >>> V water in the pool = 261800 m³

8 0

3 years ago