aula bought a ski jacket on sale for $8 less than half its original price. She paid $84 for the jacket. What was the original pr
1 answer:
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4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.
Start with
Taken mod 4, the last two terms vanish and we're left with
We have , so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.
Taken mod 7, the first and last terms vanish and we're left with
which is what we want, so no adjustments needed here.
Taken mod 9, the first two terms vanish and we're left with
so we don't need to make any adjustments here, and we end up with .
By the Chinese remainder theorem, we find that any such that
is a solution to this system, i.e. for any integer
, the smallest and positive of which is 149.
Answer:
The area of trapezoid is 72 cm²
Step-by-step explanation:
Given : A trapezoid with given dimensions.
We have to find the area of trapezoid ABCD.
Consider the given trapezoid ABCD ,
AB = EF = 8 cm
and CE = FD = 4 cm
Then CD = CE + EF + FD = 4 + 8 + 4 = 16 cm
Thus, Area of trapezoid =
here, height = 6 cm
and sum of parallel sides = AB + CD = 16 + 8 = 24 cm
Thus, Area of trapezoid =
Simplify, we have,
Area of trapezoid = 72 cm²
Thus, The area of trapezoid is 72 cm²
