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den301095 [7]
3 years ago
5

How do I find the value of each variable?

Mathematics
1 answer:
arlik [135]3 years ago
7 0
You have to solve for x and plug it back in
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Segments CD, AE, and BF are medians of triangle ABC.
EleoNora [17]

Option C: x = 5.5 is the value of x

Explanation:

Given that CD, AE, an BF are the medians of the triangle ABC

Also, given that AM = 4x - 5 and ME=x+3

We need to determine the value of x.

Since, we know that the centroid divides the median in the ratio 2 : 1

Hence, we have,

AM=2\times ME

Substituting the values, we get,

4x-5=2(x+3)

Simplifying, we get,

4x-5=2x+6

Subtracting both sides of the equation by 2x, we have,

2x-5=6

Adding both sides of the equation by 5, we have,

2x=11

Dividing both sides of the equation by 2, we get,

x=5.5

Therefore, the value of x is 5.5

Hence, Option C is the correct answer.

7 0
3 years ago
If y varies directly with x when y=8,x=20 find the value of x when y=42
Alecsey [184]

The value of x is 105 when y=42

Step-by-step explanation:

A direct proportion means that the change in one quantity will also cause the change in other quantity

Given

y varies directly with x

x ∝ y

when the proportionality symbol is removed a proportionality constant is introduced

x=ky\\k=\frac{x}{y}\\Putting\ y=8\ and\ x=20\\k=\frac{20}{8}\\k = \frac{5}{2}\\So,\ the\ equation\ will\ be\\x=\frac{5}{2}y\\Putting\ y=42\\x=\frac{5}{2}*42\\x=5*21\\x= 105

The value of x is 105 when y=42

Keywords: Proportion, Direct variation

Learn more about proportion at:

  • brainly.com/question/3398261
  • brainly.com/question/3614284

#LearnwithBrainly

5 0
3 years ago
3,400,000 34,000 is that right
mart [117]
Yes that is right all the numbers are in the right place value in the decimals are in the right place value
8 0
3 years ago
Read 2 more answers
Write a 0.26 in word form
Alex73 [517]
<span>twenty six</span> <span>hundredths would be the word form of 0.26 :)

</span>
3 0
3 years ago
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Does any one know what midpoint is
Rainbow [258]

Answer:

it means the middle of the points

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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