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2 years ago

In parallelogram ABCD , BE=7x−2 and ED=x2−10 .

Mathematics

1 answer:

Stells [14]2 years ago

5 0

I'm assuming that the diagonals intersect at E. Since diagonals of a parallelogram bisect each other, BE=ED.

7x-2=x²-10
x²-7x-8=0
(x-8)(x+1)=0
x = -1, 8

As distance must be positive, we reject the negative case, so x=8.

Thus, BE=ED=54.

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There are 100 cents in a dollar what percent of a dollar is $0.15 a

atroni [7]

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15=X

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2 years ago

Conrad bought 21 stamps from a hobby shop. He gave 3/7 of them to his brother. He put

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3 years ago

If Layla gets paid $948 a slow week . The employees Marco gets paid $9 an hour ,Stephanie gets paid $10.50 an hour ,and Destiny

deff fn [24]

Answer:

they all got paid 474$ all together

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3 years ago

The perimeter of a triangle is 510 feet and the sides are in the ratio of 11:16:24. Find the area of the triangle

Nutka1998 [239]

If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.

So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.

This means that the perimeter is

$11x+16x+24x = 51x$ feet long. But we know that this is 510 feet, so we have

$51x = 510 \implies x = \cfrac{510}{51} = 10$ .

So, the three sides are 110, 160 and 240 feet long.

To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if $s$ is half the perimeter of the triangle whose sides are $a,b,c$ , the area $A$ is given by

$A = \sqrt{s(s-a)(s-b)(s-c)}$

In our case, $s = 255, a = 110, b = 160, c = 240$ so the formula becomes

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3 years ago

33. A competition question requests students to form a three-digit number.

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Answer:

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38, 18, 30, 28, 68, 22

The number of interest is 532.

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3 years ago