I don’t know what the correct answer is

Mathematics

1 answer:

tino4ka555 [31]4 years ago

6 0

The area of a trapezoid is:

(b1 + b2) * h/2, where b1 and b2 are the two bases and h is the height.

We are given expressions for the bases and values of the height and area, so let's plug the values in:

((x + 2) + (4x - 1)) * 8/2 = 104

Calculate the inside of the parentheses:

(5x + 1) * 8/2 = 104

8/2 = 4

(5x + 1) * 4 = 104

Divide by 4 on both sides:

5x + 1 = 26

Subtract 1 from both sides:

5x = 25

Divide by 5:

x = 5

Now that we know x, we can put it into the expressions given for the bases and figure out which is the longer one:

a = 4 * 5 - 1 = 20 - 1 = 19

b = 5 + 2 = 7

a is the longer base, so (A) is the answer.

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The approximate distance between J and K is units. The approximate distance between K and L is units. The approximate distance b

Dima020 [189]

Count the distance d, which gives you 7.

Use Pythogarean theorem to find c:
${a}^{2} + {b}^{2} = {c}^{2}$
Plug in the numbers:
${4}^{2} + {3}^{2} = {c}^{2} \\ \\ = 16 + 9 \\ \\ = 25 \\ \\ c = \sqrt{25} = 5$
c is 5.

Same thing with g:
${e}^{2} + {f}^{2} = {g}^{2} \\ \\ {g}^{2} = {4}^{2} + {4}^{2} \\ \\ = 16 + 16 \\ \\ = 32 \\ \\ g = \sqrt{32} = 4 \sqrt{2} = 5.66$
g equals 5.66.