Looking at the figure, we can see that both triangles are right triangles. Therefore, we can apply pythagorean theorems. A right triangle contains a hypotenuse, which is the longest side. In the figure, that would be sides with length 4 and 12. The equation for this is:

c = √(^2 + b^2) , where c is the hypotenuse and a and b are the other shorter sides

To determine z:

4 = √(z^2 + 3^2)

z = 2.65

To determine x:

12 = √(x^2 + 6^2)

x = 10.39

c = √(^2 + b^2) , where c is the hypotenuse and a and b are the other shorter sides

To determine z:

4 = √(z^2 + 3^2)

z = 2.65

To determine x:

12 = √(x^2 + 6^2)

x = 10.39

C.y=5, x=10

Step-by-step explanation:

In this case when you have a triangle that is being cut by paralell lines you can use the Triangle Proportionality Theorem, which states that a triangle that is cut by a parallel line to any side the resultant sides would be proportional to those of the original triangle.

So you equation would be like this:

If you clear the function to get the value of X it´ll look like this:

Now that we have calculated the length of Y we can calculate the length of X

Since

Then

So the value of X would be 10.

A. x=9 z=2

Step-by-step explanation:

well idk how to do it i just got the answer right on e2020

(4x - 7) and (7x -61) can be set equal to each other because they are corresponding angles.

4x - 7 = 7x - 61

4x + 54 = 7x

54 = 3x

18 = x

4x - 7 = 7x - 61

4x + 54 = 7x

54 = 3x

18 = x

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