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Katena32 [7]
2 years ago
6

Segment addition with variables

Mathematics
1 answer:
oksian1 [2.3K]2 years ago
4 0

<em>x equals 22</em>

<h2>Explanation:</h2>

____________________________________________

The Segment Postulate states the following:

<em>Given two end points A and B, a third point C lines on the segment AB if and only if the distances between the points satisfy the equation:</em>

\overline{AB}=\overline{AC}+\overline{CB}

____________________________________________

From the figure:

\overline{AC}=8+x \\ \\ \overline{CB}=10 \\ \\ \overline{AB}=40

Our goal is to find x:

\overline{AB}=\overline{AC}+\overline{CB} \\ \\ Substituting \ values: \\ \\ 40=(8+x)+10 \\ \\ 18+x=40 \\ \\ Subtracting \ 18 \ from \ both \ sides: \\ \\ 18-18+x=40-18 \\ \\ \boxed{x=22}

<h2>Learn more:</h2>

Dilation: brainly.com/question/2501119

#LearnWithBrainly

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Can someone solve this
Gemiola [76]

Answer:

f(h(-1)) = -1

Step-by-step explanation:

f(x) = (x-4)/3

h(x) = 3x + 4

f(h(-1)) = ?

So first off we need to solve for h(-1):

h(x) = 3x + 4

h(-1) = 3(-1) + 4

h(-1) = 1

Next, we plug this value into the f(x) equation:

f(x) = (x-4)/3

f(1) = (1-4)/3

f(1) = -1

f(h(-1)) may look confusing but it is just f(x) with x being the resulting value for h(-1)

Thus we can say that f(h(-1)) is equal to -1

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2 years ago
Please help! While mining, Mike found a large metal bar that contained 6 ounces of lead. Mike also determined that the bar was 4
Dima020 [189]

Answer:

15 ounces

Step-by-step explanation:

6/40 = 0.15

0.15 x 100 = 15

15 ounces

7 0
2 years ago
A triangle has sides of length 48 mm, 5cm and 1.4 cm.
cricket20 [7]

Answer:

<u><em>The triangle is a right-angled triangle. </em></u>

Step-by-step explanation:

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What is the range and domain of the function : y= sqrt(x) -5 ... Can you please explain? Thanks btw the square root is only over
Likurg_2 [28]
Okay so basically domain =input and range =output. you can never have a negative number underneath the square root sign because it will make the answer imaginary (i), unless you are on that concept. Therefore the range is any number greater than 0. -> all real numbers greater than or = 0

for the range if you input 0 as x you will get -5, so any number you input after 0 will be greater than -5. so range is all real numbers greater than or equal to -5. 
3 0
3 years ago
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Sophie [7]

Answer:

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Step-by-step explanation:

because it has too many decimals after the whole number cannot be converted to a fraction so it is irrational.

7 0
3 years ago
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