Answer:
Congruent triangles have both the same shape and the same size. triangles ABC and DEF are congruent; they have the same angle measures and the same side lengths.
Similar triangles have the same shape, but not necessarily the same size. In the figure below, triangles ABC and XYZ are similar, but not congruent; they have the same angle measures, but not the same side lengths.
Step-by-step explanation:
Answer:
0.75 is it the answer
Step-by-step explanation:
Y = 2x+6
The slope is 2 and the y intercept is 6
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 term: -9
Common difference: 7
a(n) = -9 + 7(n-1), for n = {1, 2, 3, ... }
Check: what is the first term? let n=1. Then a(1) = -9 + 7(1-1) = -9.
This is correct.