The ratio of the area of ∆ABC to the area of ∆DEF is; 1:100.
<h3>What is the ratio of the area of ∆ABC to the area of ∆DEF?</h3>
Since, a major criterion for similarity and congruence of triangles is that the ratio of corresponding sides are equal.
On this note, since the task content suggest that the ratio of the perimeters is; 1:10, it follows from conventional mathematics that the ratio of their areas is given as; 1²:10²; 1:100.
Read more on congruent triangles;
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Answer:

Step-by-step explanation:
Given
See attachment
Required
The value of x that makes l and m parallel
Let the angles be ABC (See attachment 2)
is corresponding to 50 degrees. So:

is corresponding to 55 degrees. So:

This means that:


Solve for x


C = 8.5x + 6y
Rearrange the equation by making the side with x, be on the Left Hand Side (LHS)
8.5x + 6y = C
Subtract 6y from both sides of the equation
8.5x + 6y - 6y = C - 6y
8.5x = C - 6y
Divide both sides of the equation by 8.5
(8.5x/8.5) = (C - 6y)/8.5
x = (C - 6y)/8.5
I hope this helped.
Answer:
About 32% of her pay was deducted ⇒ 2nd answer
Step-by-step explanation:
Lisa’s gross pay was $1204.89
Her net pay was $818.44
We need to find the percentage of the amount deducted from her pay
<u><em>Lets calculate the deduction amount</em></u>
The deduction amount is the difference between the gross pay and
the net pay
∵ The amount deducted = gross pay - net pay
∵ Gross pay = $1204.89
∵ Net pay = $818.44
∴ The amount deducted = 1204.89 - 818.44 = $386.45
<u><em>Now lets find the percentage of the amount deducted </em></u>
∵ Percent of deducted = [amount deducted/gross pay] × 100%
∵ The amount deducted = $386.45
∵ Gross pay = 1204.89
∴ Percent of deducted =
× 100%
∴ Percent of deducted = 32.07%
<em>About 32% of her pay was deducted</em>
48 and 78(try to see if its 6)