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Marianna [84]
3 years ago
10

Can someone please answer this quickly and correctly? 20 points!

Mathematics
1 answer:
Marysya12 [62]3 years ago
5 0
The missing side is 7 in

Explanation:
The information we have to know in order to solve this is that the formula of area of trapezoid is
a = 1/2h (b1 + b2)

We can fill in the information we know from the picture into the equation
15 = 1/2(3.4) (1.8 + b2)

The dimension we are solving for is b2, or base 2. To make it easier, let's replace b2 with n. Now we can solve this equation

1) Multiply 1/2 by 3.4, which is 1.7
15 = 1.7 (1.8 + n)

2) Distribute by doing 1.7 x 1.8 + 1.7 x n
15 = 17n + 3.06

3) Subtract 3.06 from both sides of the equation
15 - 3.06 = 17n + 3.06 - 3.06
11.94 = 17n

4) To isolate n, since we want one n instead of 17, we divide both sides by 17
11.94/17 = 17n/17
7 = n
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In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=71°, and JH = 2 feet. Find the length of IJ to the nearest tenth of a foot.
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Answer:

IJ is 5.8 ft

Step-by-step explanation:

Here, we want to calculate the length of IJ

to Find IJ, we need the appropriate trigonometric ratio

The trigonometric ratio to use in this case is the one that connects the opposite and the adjacent

from the question, IJ is the opposite

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