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3 years ago

Solve for X Tysm for the help!

Mathematics

1 answer:

Anna007 [38]3 years ago

4 0

Answer:

x = 25

Step-by-step explanation:

If the triangles are similar, we know that their corresponding sides are in an equal ratio, so we can set them equal to each other. It's

To set it up, we'll use two fractions. Note that the top numbers, x and 25, are both from the same triangle, and the bottom numbers, 6 and 10, are both from the other triangle. You won't have success if you do this the wrong way.

$\frac{x}{6}$ = $\frac{25}{10}$

Cross-multiply:

10x = 25*6

10x = 250

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Which expression has a positive quotient?

svp [43]

Answer:

Only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

Step-by-step explanation:

We will solve to find out Which expression has a positive quotient.

We know the division rule: $\frac{-a}{-b}=\frac{a}{b}$ and $\frac{-a}{b}=\frac{-a}{b}$

We will use these rules

1) Negative three-fourths divided by Negative two-thirds

$=\frac{-\frac{3}{4} }{-\frac{2}{3} }\\=-\frac{3}{4}\times -\frac{3}{2}\\=\frac{9}{8}$

The quotient is positive.

2) Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth

$\frac{-\frac{1}{8} }{3\frac{1}{5} }\\=\frac{-\frac{1}{8} }{\frac{16}{5} }\\=-\frac{1}{18} \times \frac{5}{16}\\=-\frac{5}{288}$

The quotient is negative.

3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth

$\frac{2\frac{2}{7} }{-\frac{1}{5} }\\= \frac{\frac{16}{7} }{-\frac{1}{5} }\\=\frac{16}{7} \times -5\\=-\frac{80}{7}$

The quotient is negative.

4) Negative 6 divided by Five-thirds

$\frac{-6}{\frac{5}{3} }\\=-6 \times \frac{3}{5}\\=-\frac{18}{5}$

The quotient is negative.

So, only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

4 0

3 years ago

Read 2 more answers

The average salary for a construction worker is $29,160 per year. A veterinarian makes on average $84,460. If you consider the e

wel

Hey !

I am going to explain what I did to get the answer...

I multiplied $29,160 by 30 = $874,800
Then I multiplied $84,460 by 30 = $2,533,800

Then I subtracted the results = a difference of $1,659,000

So the answer to your question is, $1,659,000 is the difference.

I hope I was able to help you out :D <span />

5 0

3 years ago

Read 2 more answers

What are the values of a and b?

ivann1987 [24]

Answer:

Step-by-step explanation:

Small triangles are similar. Therefore, the sides are proportional

$\dfrac{a}{20}=\dfrac{20}{21}$ <em>cross multiply</em>

$21a=(20)(20)$ <em>divide both sides by 21</em>

$a=\dfrac{400}{21}$

For b, we can use the Pythagorean theorem:

$b^2=\left(\dfrac{400}{21}\right)^2+20^2\\\\b^2=\dfrac{160000}{441}+400\\\\b^2=\dfrac{160000}{441}+\dfrac{176400}{441}\\\\b^2=\dfrac{336400}{441}\to b=\sqrt{\dfrac{336400}{441}}\\\\b=\dfrac{\sqrt{336400}}{\sqrt{441}}\\\\b=\dfrac{580}{21}$

3 0

3 years ago

What are the coordinates of the point on the directed line segment from (–9, -7) to

pentagon [3]

Answer:

Step-by-step explanation:

Saving the long, drawn out derivation of the formulas to find the x and y coordinates of the directed point, suffice it to say that it is:

x coordinate: $\frac{bx_1+ax_2}{a+b}$ and

y coordinate: $\frac{by_1+ay_2}{a+b}$

where x1, x2, y1, and y2 are the coordinates from the given points and a and b are the numbers in the ratio, namely a = 3 and b = 4. Filling in accordingly:

the x coordinate of the directed point is

$\frac{4(-9)+3(-2)}{7}$ which simplifies down to -6, and