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4 years ago

Similar right triangles Solve for x include a explanation

Mathematics

1 answer:

KATRIN_1 [288]4 years ago

4 0

Answer:

x = 12

Step-by-step explanation:

The figure in the question was split into the triangles in the attachment to the solution.

Now applying the principle of similar triangles, we have:

$\frac{16}{x} = \frac{x}{9}$

cross-multiplying, we have:

$x^{2} = 16*9 = 144$

solving for x,

x = 12

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Which of the following is equivalent to the equation 4x+7y=z?

shtirl [24]

Answer:

x = 1.75y + 0.25z

Step-by-step explanation:

Simplifying

4x + -7y = z

Solving

4x + -7y = z

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7y' to each side of the equation.

4x + -7y + 7y = 7y + z

Combine like terms: -7y + 7y = 0

4x + 0 = 7y + z

4x = 7y + z

Divide each side by '4'.

x = 1.75y + 0.25z

Simplifying

x = 1.75y + 0.25z

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3 years ago

Read 2 more answers

Translate the sentence into an inequality.

Slav-nsk [51]

Answer:

4+y < 15

the best i can do

Step-by-step explanation:

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3 years ago

Lockheed Martin, the defense contractor designs and build communication satellite systems to be used by the U.S. military. Becau

Nana76 [90]

Answer:

$P(52$

And we can find this probability with this difference:

$P(-0.851$

And if we use the normal standard distribution or excel we got:

$P(-0.851$

Step-by-step explanation:

Let X the random variable that represent the time required to construct and test a particular component of a population, and for this case we know the distribution for X is given by:

$X \sim N(60,9.4)$

Where $\mu=60$ and $\sigma=9.4$

We want to find this probability:

$P(52$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

Using this formula we got:

$P(52$

And we can find this probability with this difference:

$P(-0.851$

And if we use the normal standard distribution or excel we got:

$P(-0.851$

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3 years ago

There were 10 students in a teacher's classroom. The next week, there were 19 students. What is the percent increase

mixas84 [53]

Answer:

Step-by-step explanation:

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3 years ago

105,159 rounded to the nearest ten thousand

IceJOKER [234]

If you look at the hundereds place you see it is under the number 5 which means you would drop 1, 5, & 9 and the answer would be 105,000. If the number was above 5 you would have had to make it 106,000.

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3 years ago