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
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<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.
the answer is 40
in
X 1 (+1) 2 (+1) 3 (+1) 4 (+1) 5
Y 4 (+9) 13 (+9) 22 (+9) 31 (+9) 40
There are no options to choose from but I hope this helps
Since they are similar triangles, they are just enlarged versions of each other. This means that the left-most angle of triangle XYZ is also 35°.
Angles in a triangle add up to 180°, so we can find the missing angle by subtracting the two known angles from 180.
180 - 70 - 35 = 75
The right-most angle of triangle XYZ would be 75°.
Hope this helps!
Answer:
Step-by-step explanation:
5p(6L/p)=30L
30 liters can be made with the five pots.
