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3 years ago

Triangle LMN is similar to triangle XYZ with altitudes KL and WX. Find KL

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

3 0

KL is 7.

Since LMN~XYZ, that means m∠N = m∠Z.

Since the angles are the same, we also know that
sin N = sin Z

Sine is the ratio of the opposite side to the hypotenuse of a right triangle. The sine of N would be the ratio of sides LK to LN, and the sine of Z would be the ratio of sides XW to XZ. That gives us:

x/28 = 3/12

Cross multiply the proportion:

12*x = 28*3
12x = 84

Divide both sides by 12:
12x/12 = 84/12
x = 7

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Order the numbers from least to greatest. 0.3, 9/25, 33%, 0.35

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Answer:

0.3(least)

0.33

0.35

0.36(greatest)

Step-by-step explanation:

Okay, so first we need to have all of our numbers in the same category of variable. So first, we will convert 9/25 to a decimal.

To do that, we must divide 9 by 25 to get our answer of 0.36.

Now, we will convert the 33% to a decimal by dividing it by 100 to get 0.33

We now have our list, which should be ordered as:

0.3

0.33

0.35

0.36

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2 years ago

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Ksenya-84 [330]

Answer:

Step-by-step explanation:

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g(x) can be rewritten as 9x^2.

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3 years ago

What is the following product

dangina [55]

Option B is correct.

Step-by-step explanation:

We need to solve: $\sqrt[3]{x^2}\sqrt[4]{x^3}$

We know that: $\sqrt[n]{x}\sqrt[b]{x} =\sqrt[n*b]{x.x}= \sqrt[n*b]{x^2}$

Applying the above rule:

$\sqrt[3]{x^2}\sqrt[4]{x^3}\\=\sqrt[3*4]{x^2.x^3}\\=\sqrt[12]{x^5}$

So, Option B is correct.

Keywords: Solving with Exponents

Learn more about Solving with Exponents at:

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3 years ago

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