Answer:
16.2
Step-by-step explanation:
The angle internal to the triangle at B is the supplement of the one shown, so is 65°. That is equal to the angle internal to the triangle at D. Since the vertical angles at C are congruent, the two triangles are similar by the AA theorem.
Corresponding sides of similar triangles are proportional, so we can write the proportion shown in the attachment:
BC/FC = DC/AC
BC = FC(DC/AC) = 21.6(7.2/9.6)
BC = 16.2 . . . . matches the first choice
Answer:3/20
Step-by-step explanation:
Fraction of total area mowed = (3/5) + (1/4) = 17/20
Therefore fraction of total area left = 1 - (17/20) = (20/20) - (17/20) = 3/20
Answer:
B
Step-by-step explanation:
Since A represents the number of AFC cars and N represents the number of NFC cards, and that Daryl has 160 total cards, then A+N = 160, the total number of cards. Furthermore, the number of AFC cards Daryl has is 8 more than 3 times the number of NFC cards, so A would be equal to 8 + 3N, or A = 3N + 8. The only system of equations with both of these correct equations is B.
The value (9/10)*81 is greater than (5/6)*81
<h3>How to determine the greater value?</h3>
The values are given as:
(5/6)*81 and (9/10)*81
Remove the common factor in both values
So, we have:
5/6 and 9/10
Convert to decimals
0.83 and 0.9
0.9 is greater than 0.83
Hence, (9/10)*81 is greater than (5/6)*81
Read more about expressions at:
brainly.com/question/723406
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Answer:
Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have
This is the equation of the line in slope intercept form
where
The given equation not represent a proportional relationship, because the line not pass through the origin
In a proportional relationship the value of b (y-intercept) is equal to zero
