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kirill115 [55]
3 years ago
15

ACDF is a trapezoid and

Mathematics
1 answer:
Sholpan [36]3 years ago
8 0

Answer:

x = 7

Step-by-step explanation:

See the attached figure.

As shown: A C D F is a trapezoid and BE is a mid-segment.

The mid-segment of the trapezoid is the average of its bases.

BE = 0.5 ( A F + C D)

Given: CD = 18 , BE = 2x + 10   and   A F = 6x - 12

So,

2x + 10 = 0.5 ( 18 + 6x - 12)

Solve for x

2x + 10 = 0.5 (6 + 6x)

2x + 10 = 3 + 3x

10 - 3 = 3x - 2x

∴ x = 7

<u>So, the value of x is 7</u>

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lisabon 2012 [21]
=\dfrac{1}{x+2}\cdot\dfrac{x-5}{x-5}+\dfrac{6}{x-5}\cdot\dfrac{x+2}{x+2}\\\\=\dfrac{1(x-5)+6(x+2)}{(x+2)(x-5)}\\\\=\dfrac{7x+7}{x^{2}-3x-10}

Usually, the "simplified" form has the polynomial multiplied out (as immediately above), rather than factored. If you want it factored, you can remove a factor of 7 from the terms of the numerator to get 7(x+1)/((x+2)(x-5)).
7 0
3 years ago
The dimensions of a rectangular garden were 5 m by 8 m. Each dimension
Yuki888 [10]

Answer:

46

Step-by-step explanation:

multiplyThen add dived the 3456

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3 years ago
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svp [43]

Answer:

y = 11 + √ 73/ 4  , 11 − √ 73 /4

Step-by-step explanation:

4 0
3 years ago
Trick Question:
Feliz [49]
When you are 10 years ,your sister will be 10/2 = 5 years

10 - 5 = 5
Your sister is 5 years younger to you

After 90 years your age will be 100 years.
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Correct option A

Hope This Helps You!
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4 years ago
A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product
saveliy_v [14]

Step-by-step explanation:

this is a linear programming problem, and we are expected to draw up the linear program for the solution of the problem.

The objective function is

Maximize

35A+42B+20C=P    

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A>0, B>0, C>0

5 0
3 years ago
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