Find the value of each variable. If your answer is not an integer, express it in simplest radical
form
45°

For the given triangle, x = 8 units and y = 11.3154 units.

Step-by-step explanation:

Step 1:

In the given triangle, the angle is 45° (the bottom right angle). It is given that the hypotenuse is y and the adjacent side is x. The opposite side of the triangle measures 8 units.

It is given that the hypotenuse measures y units and the adjacent side measures x units.

To determine the length of the hypotenuse of the triangle, we use the sin of the given angle.

To determine the length of the adjacent side of the triangle, we use the tan of the given angle.

Step 2:

In the given triangle,

The length of the opposite side = 8 units,

The length of the adjacent side = x units,

The length of the hypotenuse = y cm,

The angle of the triangle = 45°.

So x = 8 units and y = 11.3154 units.

the 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870