Answer:
Supplementary angles
x = 31
Step-by-step explanation:
Since, (3x + 25)° and 2x° are straight line angles. Therefore they are supplementary angles
(3x + 25)° + 2x° =180°
(5x + 25)° = 180°
5x + 25 = 180
5x = 180 - 25
5x = 155
x = 155/5
x = 31
Answer:

Step-by-step explanation:
<u>Modeling With Functions</u>
It's a common practice to try to mathematically represent the relation between two or more variables. It allows us to better understand the behavior of the phenomena being observed and, more importantly, to be able to predict future values.
The specific situation stated in the question relates how Taylor buys nail polish for $3.95 each, with a maximum of $30 to spend. If x is the number of nail polish purchased, then the total cost will be

But we know Taylor has a limited budget of $30, so the total cost cannot exceed that amount

Solving the inequality for x


We round down to

Of course, the lower limit of x is 0, because Taylor cannot purchase negative quantities of nail polish
Our model is now complete if the state the limits of x, or its domain

Step-by-step explanation:
Let set up the two column proof
Statements. Reasons
1. m 1+ m∠5 = 180° and m∠1 + m∠4=180° Given
2. 2. m∠1 + m∠5 = m∠1 + m∠4. Substitution
3.m∠5 = m∠4. Subtraction Property of Equal
4.is Parallel to Given. 4.If alternate interior angles equal, then lines are ||.