A shelf is in the shape of a triangle. Find the angles of the triangle if the measures of the angle are in the ratio x:x:4x

Mathematics

1 answer:

user100 [1]3 years ago

8 0

First x equals 30
Second x equals 30 aswell
The last x equals 120

Asw: 30°, 30°, 120°

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X and y are positive integers. explain why incorrect to claim that

dedylja [7]

You can find counterexamples to disprove this claim. We have positive integers that are perfect square numbers; when we take the square root of those numbers, we get an integer.

For example, the square root of 1 is 1, which is an integer. So if y = 1, then the denominator becomes an integer and thus we get a quotient of two integers (since x is also defined to be an integer), the definition of a rational number.

Example: x = 2, y = 1 ends up with $\frac{2}{\sqrt{1}} = \frac{2}{1}$ which is rational. This goes against the claim that $x/\sqrt{y}$ is always irrational for positive integers x and y.