Equilateral triangles <span>have three equal sides also they have three equal angles. :)</span>
Answer:
8/17
Step-by-step explanation:
Ratios are used to show the proportions of two quantities.
<em>There were 48 men at the game, if the total number of adults is 128.</em>
Let:


So, we have:

The total ratio is:



The number of men at the game is calculated using:

So, we have:



Hence, there are 48 men at the game
Read more about ratios at:
brainly.com/question/7810782
9514 1404 393
Answer:
a) 5 cm
b) 8 cm
c) 9 m
Step-by-step explanation:
It can be worthwhile to work the last attachment (a) first, since these are all variations of the same triangle.
The Pythagorean theorem tells you the sum of the squares of the legs is the square of the hypotenuse.
<u>Problem 6a</u>:
3² +4² = x² . . . . fill in the given numbers; all measures in cm
9 + 16 = x² . . . . simplify exponents
25 = x² . . . . . . . simplify sum
x = √25 = 5 . . . take the square root.
x = 5 cm . . . . . . apply units
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Note that this triangle is a 3-4-5 right triangle. That is a set of side lengths (ratios) that is useful to remember. In this problem set, you see it again immediately.
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<u>Problem 6b</u>:
Shortest-to-longest, the side ratios of the given triangle are ...
6 : x : 10
For some x', this is ...
3 : x' : 5 . . . . . . . . . . . . . matches a 3-4-5 triangle with x' = 4
The scale factor is 6/3 = 10/5 = 2, so we have ...
x = 2·x' = 2·4 = 8
x = 8 cm . . . . . with units
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<u>Problem 6c</u>:
The side ratios are ...
x : 12 : 15 which reduces to x' : 4 : 5
This matches a 3-4-5 triangle with x' = 3, and a scale factor of 12/4 = 15/5 = 3.
Then ...
x = 3·x' = 3·3 = 9
x = 9 m . . . . . with units