Answer:

Step-by-step explanation:
Corresponding Angles are <em>congruent</em>, therefore you set both angle measures equal to each other:
![\displaystyle 135° = [3x + 15]° → 120 = 3x; 40 = x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20135%C2%B0%20%3D%20%5B3x%20%2B%2015%5D%C2%B0%20%E2%86%92%20120%20%3D%203x%3B%2040%20%3D%20x)
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Step-by-step explanation:
✲ 
Remove the unnecessary brackets :
⇢ 
Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.
⇢ 
⇢ 

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Answer:
(A) The rate of change in the price of a bushel of corn in the current year is $7.
(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.
Step-by-step explanation:
The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.
Part A:
The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.
The formula to compute the slope is:

Consider the ordered pairs: (4, 28) and (10, 70)
Compute the slope of the line as follows:


Thus, the rate of change in the price of a bushel of corn in the current year is $7.
Part B:
The data for the price of bushels in the previous year is as follows:
Number of Bushels Price
2 10
4 20
6 30
8 40
Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:
Consider the ordered pairs: (2, 10) and (6, 30)


The rate of change in the price of a bushel of corn in the previous year is $5.
Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.
First take the original price and multiple by 1/4 or .25. You should get 4.73 then you subtract that from 18.95 and your answer is 14.22