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zimovet [89]
3 years ago
6

Does anyone know this?

Mathematics
1 answer:
never [62]3 years ago
4 0

Answer:

10

Step-by-step explanation:

In a parallelogram, diagonal are equal.

In this diagram, DF and GE are diagonals.

Diagonal bisect each at H.

So,

DH = FH

GH = HE

Given,

DH = 4x - 2

FH = x + 28

Since,

DH = FH

Hence,

4x - 2 = x + 28

4x - x = 28 + 2

3x = 30

x = 30 / 3

x = 10

Therefore,

The value of x is 10.

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The sides of the triangle occur in a ratio of 4 : 7 : 2, so if <em>x</em> is some positive number, then we can write each side's length in terms of <em>x</em> as 4<em>x</em>, 7<em>x</em>, and 2<em>x</em>.

The perimeter is 299 yd, so

4<em>x</em> + 7<em>x</em> + 2<em>x</em> = 299 yd

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2<em>x</em> = 2 • 23 yd = 46 yd

"Median" here refers to the side length between the shortest and longest sides, so the answer would be 104 yd.

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