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4 years ago

Solve for x. ANSWERS: A) 12 B) 13 C) 11 D) 10

Mathematics

1 answer:

shepuryov [24]4 years ago

6 0

Answer:

A) 12

Step-by-step explanation:

Since triangles YRZ and QRS are similar by AA, the ratio of their sides should be constant. Since RY=QY, let's call that side length y.

$\dfrac{x+2}{y}=\dfrac{3x-8}{2y}$

Multiply both sides by 2y:

$2(x+2)=3x-8 \\\\2x+4=3x-8 \\\\4=x-8 \\\\x=12$

Hope this helps!

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4 years ago

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Answer:

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3 years ago

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3 years ago

What is the greatest common factor of 8 and 18?

SCORPION-xisa [38]

Answer: 2

Step-by-step explanation: To find the greatest common factor or GCF of 8 and 18, we begin by finding all of the factors of each number.

To find the factors of 8, we know that 8 ÷ 1 is 8 so 1 and 8 are factors.

8 ÷ 2 is 4 so 2 and 4 are factors.

However, if we continue to divide 8 by 3, 4, 5, and so on, we won't find any new factors. So the factors of 8 are 1, 2, 4, and 8.

Now let's find the factors of 18.

18 ÷ 1 is 18 so 1 and 18 are factors.

18 ÷ 2 is 9 so 2 and 9 are factors.

18 ÷ 3 is 6 so 3 and 6 are factors.

However, if we continue to divide by 4, 5, 6, and so on, we won't find any new factors. So the factors of 18 are 1, 2, 3, 6, 9, and 18.

Now that we have our list of factors, to find the greatest common factor, we simply find the largest number that is shared by the two lists.

Notice that our lists share a 1 but the largest number they share is a 2.

So the greatest common factor or gcf of 8 and 18 is 2.

I have also shown my work on the whiteboard.

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3 years ago

Evaluate 2x-4y for x = 2 and y = 4.

tamaranim1 [39]

Evaluate 2x-4y for x=2 and y=4.
Replace x with 2 and y with 4.
2(2)-4(4)
Simplify.
4-16
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3 years ago

Read 2 more answers