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x=√14

Step-by-step explanation:

Hi there!

We are given a right triangle (notice the right angle), with acute angles measuring 45° and 45°, the hypotenuse (the side opposite from the right angle) labeled as x, and one of the legs (one of the sides that makes up the right angle) labeled as √7

As these two angles are the same measure, the triangle is isosceles.

So that means that the measure of the other leg (the unmarked side) is also √7.

This triangle is a special type of triangle; a 45°-45°-90° triangle. For this triangle, if the length of the legs are a, then the hypotenuse has the length  a√2

In this case, √7 is a, and as x is the measure of the hypotenuse, it must be equal to a√2, which substituting the values of a would get √7 * √2, which is √14.

The radical cannot be simplified further, so √14 is the answer.

Hope this helps!

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: