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miv72 [106K]
3 years ago
9

Help, I don't remember​

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0

Answer:

  x = 144

Step-by-step explanation:

What you need to remember about this geometry is that all of the triangles are similar. As with any similar triangles, that means ratios of corresponding sides are proportional. Here, we can write the ratios of the long leg to the short leg and set them equal to find x.

  x/60 = 60/25

Multiply by 60 to find x:

  x = (60·60)/25

  x = 144

_____

<em>Comment on this geometry</em>

You may have noticed that the above equation can be written in the form ...

  60 = √(25x)

That is, the altitude from the hypotenuse (60) is equal to the geometric mean of the lengths into which it divides the hypotenuse (25 and x).

This same sort of "geometric mean" relation holds for other parts of this geometry, as well. The short leg of the largest triangle (the hypotenuse of the one with legs 25 and 60) is the geometric mean of the short hypotenuse segment (25) and the total hypotenuse (25+x).

And, the long leg of the large triangle (the hypotenuse of the one with legs 60 and x) is the geometric mean of the long hypotenuse segment (x) and the total hypotenuse (25+x).

While it can be a shortcut in some problems to remember these geometric mean relationships, you can always come up with what you need by simply remembering that the triangles are all similar.

You might be interested in
Which of the following options have the same value as 10% of 33?
DIA [1.3K]

Answer:

<em>C. 1/10 • 33</em>

<em>D. 0.1 • 33</em>

<em>E. 10/100 • 33</em>

Step-by-step explanation:

Knowing that

10% = 0.1 in decimal form

10% = 1/10 or 10/100 in fraction form

of = multiply

<em>Thus, the following is correct:</em>

<em>C. 1/10 • 33</em>

<em>D. 0.1 • 33</em>

<em>E. 10/100 • 33</em>

<u><em>We can also solve to find the answer:</em></u>

<em>10% of 33 = 3.3</em>

<em>0.1 x 0.33 = 0.033</em>

<em>10 x 33 = 330</em>

<em>1/10 x 33 = 3.3</em>

<em>0.1 x 33 = 3.3</em>

<em>10/100 x 33 = 3.3</em>

<u><em>Hence answer =</em></u>

<em>C. 1/10 • 33</em>

<em>D. 0.1 • 33</em>

<em>E. 10/100 • 33</em>

<em>[RevyBreeze]</em>

7 0
1 year ago
Read 2 more answers
What is 2+2. ;) No but seroisly what is itz
notsponge [240]

Answer:

4

Step-by-step explanation:

I could be wrong but it is what it is

4 0
3 years ago
Read 2 more answers
What is 8/3 plus 3/7
miskamm [114]
I believe that would equal 65/21

hope that helps!
3 0
3 years ago
Read 2 more answers
25 points
balu736 [363]

Answer:

1.The labels are switched.

2.The "partly cloudy" bar is the wrong length.

3.The "cloudy" bar is the wrong length

Step-by-step explanation:

In the bar graph, the labels are switched.The lable for the horizontal axis should read -----number of days------ and the label for the vertaical axis should read----type of weather----

The scale of the bar graph is good, where a unit distance in the x-axis represent a single day.However, the length for party cloudy is indicated as 7 instead of 8. This is wrong length. Similar mistake is observed in the length for cloudy which is indicated as 6 in the graph instead of 5 as shown in the table.

4 0
2 years ago
The​ architect's side view drawing of a​ saltbox-style house shows a post that supports the roof ridge. The support post is 15 f
dezoksy [38]

Answer:

21 ft

Step-by-step explanation:

We are given that the support post is 10 ft tall.

Let x represents the distance between the support post and the front of the house, that means that 25-x will be the distance from back.

By Geometric Mean Theorem, the length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.

So, by the previous Theorem, we get:

\frac{25}{10} =\frac{10}{x} \\25x=100\\x=100:25\\x=4

We got that the distance between the support post and the front of the house is 4 ft, while the distance between the support post and the back of the house is 25-4=21 ft.    

3 0
3 years ago
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