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GenaCL600 [577]
2 years ago
6

Segment VY is a midsegment of trapezoid FEDC. Find x.

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
8 0

Answer:

x = 12

Step-by-step explanation:

The midsegment VY is half the sum of the parallel bases , that is

VY = \frac{EF+CD}{2} , then

3x + 18 = \frac{1}{2} (x + 96) ← multiply both sides by 2 to clear the fraction

6x + 36 = x + 96 ( subtract x from both sides )

5x + 36 = 96 ( subtract 36 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

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In general the inequality (x-a)(x-b) < 0 will have a solution when one factor is negative and the other is positive. In general, that will be the case for values of x that are strictly between <em>a</em> and <em>b</em>. In your inequality, that would require you graph numbers that are between 8 and 8. There are none.

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Solve −2(n+3)−4=8 . The solution is n= .
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Answer:

n= -9

Step-by-step explanation:

Simplifying

-2(n + 3) + -4 = 8

Reorder the terms:

-2(3 + n) + -4 = 8

(3 * -2 + n * -2) + -4 = 8

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Reorder the terms:

-6 + -4 + -2n = 8

Combine like terms: -6 + -4 = -10

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Solving

-10 + -2n = 8

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + -2n = 8 + 10

Combine like terms: -10 + 10 = 0

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