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3 years ago

AB is a midsegment of trapezoid DEFG what is x?

Mathematics

1 answer:

Mamont248 [21]3 years ago

5 0

Answer:

D. 2

Step-by-step explanation:

DEFG is a trapezoid and AB is its Midsegment.

Therefore,

$AB =\frac{1}{2}(DG + EF) \\ \\ 12 = \frac{1}{2} (5x - 4 + 8x + 2) \\ \\ 12 \times 2= (13x - 2) \\ \\ 24 = 13x - 2 \\ \\ 24 + 2 = 13x \\ \\ 26 = 13x \\ \\ x = \frac{26}{13} \\ \\ x = 2$

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The expression 4x(2x+7)-5(3x-2) simplifies to

Burka [1]

So step one is to distribute the 4x through and the -5 through. After distributing you get 8x^{2}+28x-15x+10. Combine the like terms, 28x and -15x, to get 13x. Your answer is 8x^{2}+13x+10

7 0

3 years ago

Solve the linear inequality -17x+2<-10x-19

Marizza181 [45]

Answer:

x > 3

Step-by-step explanation:

-17x + 2 < -10x - 19

_____________

.Subtract 2 from both sides.

-17x + 2 - 2 < -10x - 19 - 2

____________________

.Simplify.

-17x < -10x - 21

__________________

.Add 10x to both sides.

-17x + 10x < -10x - 21 + 10x

____________________

.Simplify.

-7x < -21

_________________

.Multiply both sides by -1 (reverse the inequality).

(-7x)(-1) > (-21)(-1)

______________________

.Simplify.

7x > 21

_______________________

.Divide both sides by 7.

7x/7 > 21/7

_____________________

.Simplify.

x > 3

8 0

2 years ago

I need help with question number 2.. I have a test coming up and i’m really lost

Korvikt [17]

(9a+5b-7)+(4b-2)

Add the like terms

9a+9b-9

6 0

3 years ago

Shelby works at a job that pays 10.05 per hour. She works about 40 hours per week.

Over [174]

Answer:

Shelby can go suck it

Step-by-step explanation:

you're welcome

4 0

3 years ago

A formula is expressed as d=a(2+kt). Express k in terms of d, a and t

taurus [48]

Answer:
k = $\frac{d-2a}{at} = \frac{d}{at} - \frac{2a}{at} = \frac{d}{at} - \frac{2}{t}$ 

Explanation:
To get the value of k, we will need to isolate it on one side of the equation.
This can be done as follows:
d = a(2+kt)

1- get rid of the brackets using distributive property:
d = a(2+kt)
d = 2a + akt

2- Subtract 2a from both sides of the equation:
d - 2a = 2a + akt - 2a
d - 2a = akt

3- Divide both sides of the equation by "at":
 $\frac{d-2a}{at} = \frac{akt}{at}$ 

 $k= \frac{d-2a}{at}$

4- We can further simplify the answer as follows:
k = $\frac{d-2a}{at} = \frac{d}{at} - \frac{2a}{at} = \frac{d}{at} - \frac{2}{t}$

Hope this helps :)

7 0

3 years ago

Read 2 more answers