The ratio of one triangle to the other (because they are similar, since the top angles are both 44 degrees and the two sides on the other sides of them are the same) is 12:8, or 3:2.
So therefore, we can say it's 9:6, so DE is 6.
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Answer:
The 2nd Graph is a function.
Step-by-step explanation:
You can tell it's a function because if you flatten the individual line segments along the x-axes, they all connect to form one long line.
HOWEVER, if some of the dots at the end of each line segment were empty circles instead, then it would not be considered a function. You can think of these as holes, not allowing the line to connect in those or that area.
Did that help? ;-;
Answer:
$61,500
Step-by-step explanation:
For this problem, we will simply take her hourly wage and multiply that by the hours she worked and take her additional earnings for each loan processed and multiply that by the number of loans she processed.
Consider her hourly wage of $15 per hour. If she worked 2000 hours, then we can say she got paid ($15 * 2000) = $30000 for her work that year.
Consider her processing fee of $35 per loan processed. If she processed 900 loans, then we can say she got paid ($35 * 900) = $31500 for her processed loans that year.
Then, to find her yearly total earnings, we simply add those two values. $30000 + $31500 = $61500.
Thus the loan officer made $61500 that year.
Cheers.
Answer:
Breadth = 8 cm
Length = 17 cm
Step-by-step explanation:
Given rectangle:
Breadth = x cm
Length = x + 9 cm
Area = length * breadth
= x * (x + 9)
= x² + 9x
Rectangle with length and breadth increased:
Breadth = x + 3 cm
Length = x + 9 + 3 = x + 12 cm
Area = 84 + (x² + 9x) cm²
(x +3) * (x +12) = 84 + x² + 9x
Use FOIL method
x*x + x*12 + 3*x + 3*12 = 84 + x² + 9x
x² + 12x + 3x + 36 = 84 + x² + 9x {add the like terms}
x² + 15x + 36 = 84 + x² + 9x
x² + 15x + 36 - 84 - x² - 9x = 0
6x - 48 = 0
6x = 48
x = 48/6
x = 8
Breadth = x = 8 cm
Length = x + 9 = 8 +9 = 17 cm
