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Ganezh [65]
2 years ago
6

Generate an equivalent expression for 24x+18y by factoring out the GCF

Mathematics
1 answer:
maks197457 [2]2 years ago
7 0

The GCF of 24x and 18y is their greatest common factor

The equivalent expression of 24x + 18y is 6(4x + 3y)

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

24x + 18y

Express each term as the product of 6

24x + 18y = 6 * 4x + 6 * 3y

Factor out 6 from the expression

24x + 18y = 6 (4x + 3y)

Hence, the equivalent expression of 24x + 18y is 6(4x + 3y)

Read more about equivalent expressions at:

brainly.com/question/2972832

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Answer:

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Step-by-step explanation:

We are given the following in the question:

Right triangle ABC is similar to triangle XYZ.

AB = 20.8 units

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We have to find the length of side XY.

Since the given triangles are similar, they have the following property:

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We can write,

\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}

Putting the given values, we have,

\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}\\\\\frac{20.8}{XY}=\frac{36.4}{7}\\\\XY = \frac{20.8\times 7}{36.4} =4 \text{ units}

Thus, the length of XY is 4 units.

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