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Anastaziya [24]
2 years ago
5

Find the value of x.

Mathematics
1 answer:
nadezda [96]2 years ago
6 0

Answer:

25

Step-by-step explanation:

The median of a trapezoid equals one half of the sum of the bases

AC is a median and EB and DF are the bases.

hence AC = 1/2(EB + DF)

We are given that EB = 13 and that AC = 19. And we need to find DF

To do so we plug in what we are given and solve for DF

AC = 1/2(EB + DF)

AC = 19, EB = 13

19 = 1/2(13 + DF)

Now solve for DF

* Multiply both sides by 2*

19 * 2 = 38

1/2(13 + DF) * 2 ( the 1/2 and 2 cancel out and we're left with 13 + DF )

We then have 38 = 13 + DF

* Subtract 13 from both sides *

38 - 13 = 13 - 13 + DF

We get that DF = 25

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F(x) = x + 4 and g(x) = 2x + 3, evaluate each expression.
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Step-by-step explanation:

<h3>Given information</h3>

f(x)=x+4

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<h3>Question 15. f(g(2))</h3>

<u>Substitute values into the first function</u>

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<h3>Question 16. g(f(2.5))</h3>

<u>Substitute values into the first function</u>

f(2.5)=(2.5)+4

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<u />

<u>Substitute the values of the first function into the second</u>

g(f(2.5))=g(6.5)

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<h3>Question 17. g(f(-5))</h3>

<u>Substitute values into the first function</u>

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<h3>Question 18. f(g(-5))</h3>

<u>Substitute values into the first function</u>

g(-5)=2(-5)+3

g(-5)=-10+3

g(-5)=-7

<u>Substitute the values of the first function into the second</u>

f(g(-5))=f(-7)

f(-7)=(-7)+4

f(-7)=\Large\boxed{-3}

Hope this helps!! :)

Please let me know if you have any questions

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