Answer:
m∠5 = 44°; m∠7 = 44°
Step-by-step explanation:
Angle 4 and 1 are supplementary (they make up a line) and their sum is equal to 180 degrees.
Subtracting the measure of angle 4 from 180 degrees gives the measure of angle 1. (180 - 136 = 44).
So Angle 1's measure is 44 degrees.
According to the Corresponding Angle Postulate, Angle 1 and Angle 5 are congruent. Therefore, m∠5 = 44°
According to the Vertical Angles Postulate (if two angles are vertical, they are congruent), ∠5 ≅ ∠7, meaning that m∠5 = m∠7.
So m∠7 = 44°
<h3>The Graph you need above </h3>
<h3>Step-by-step explaination : </h3>
<h3>Combine 1/3and x.</h3>
y<x/3+1/2
<h3>Use the slope-intercept form to find the slope and y-intercept.</h3><h3 />
Slope: 1/3
y-intercept: 1/2
<h3>Graph a dashed line, then shade the area below the boundary line since y is less</h3><h3>than x/3+1/2.</h3>
<h3>y<x/3+1/2</h3>
Answer:
1. 20%
2. 40%
Step-by-step explanation:
To find the percent of the total payment that the down payment is we have to you use the following equation:

Lets start plugging things into the equation.
The part is equal to the down payment and the whole is the total cost of the studio apartment.
Let's do this for the first question

So we see that 24,000 is 20% of the total purchase price!
Let's do this for the next question:

48,000 is 40% of the 120,000 total cost!
<em>Hope this helps!</em>
<em>- Kay</em>
<em />
Answer:
x=32 y=416 M<ABC=158°
Step-by-step explanation: