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scoundrel [369]
2 years ago
14

Using the side-splitter theorem, Daniel wrote a proportion for the segments formed by line segment DE. What is EC?

Mathematics
2 answers:
AfilCa [17]2 years ago
7 0
We manipulate the given equation in order to solve for EC. We do this by cross multiplying. 
The resulting equation will be:
EC = (4 x 3)/5
EC = 12/5 = 2.4

Additionally, the side-splitter theorem works for this problem since DE and AC are parallel to each other, therefore splitting the remaining two sides into proportional segments.
tatiyna2 years ago
3 0

Answer:

2.4 Units

Step-by-step explanation:

Just did the test on edg 2020

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Step-by-step explanation:

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An automotive repair center charges $45 for any part of the first hour of labor, and $25 for any part of each additional hour. W
IceJOKER [234]
The total cost is given by the equation:
C(t) = 45 + 25(h-1) where h is the number of hours worked.

We can check for each option in turn:

Option A:

Inequality 5 < x ≤ 6 means the hour is between 5 hours (not inclusive) to 6 hours (inclusive)
Let's take the number of hours = 5
C(5) = 45 + (5-1)×25 = 145
Let's take the number of hours = 6
Then substitute into C(6) = 45 + (6-1)×25 = 170
We can't take 145 because the value '5' was not inclusive.


Option B:
The inequality is 6 < x ≤ 7
We take number of hours = 6
C(6) = 25(6-1) + 45 = 170
We take number of hours = 7
Then C(7) = 25(7-1) + 45 = 195

Option C:
The inequality is 5 < x ≤ 6
Take the number of hours = 5
C(5) = 25(5-1) + 45 = 145
Take the number of hours = 6
C(6) = 25(6-1) + 45 = 170
We can't take the value 145 as '5' was not inclusive in the range, but we can take 170

Option D:
6 < x ≤ 7
25(6-1) + 45 < C(t) ≤ 25(7-1) + 45
170 < C(t) ≤ 195

Correct answer: C


7 0
3 years ago
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