We can use the pythagorean theorem to find x. The pythagorean theorem tells us to square each leg (height and base) of the triangle and add it. It should be equal to the hypotenuse square.

For this triangle it means, we square 6 and 3 and add it. It should be equal to x squared. Then we can solve. Shown below:

$6^2 + 3^2 = x^2\\36 + 9 = x^2\\45 = x^2\\x=\sqrt{45}$

<em>Now we can use property of radical $\sqrt{x}\sqrt{y} =\sqrt{x*y}$ to simplify:</em>

$x=\sqrt{45} \\x=\sqrt{5*9} \\x=\sqrt{5} \sqrt{9} \\x=3\sqrt{5}$

Correct answer is C

6 0

3 years ago

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Match the equation with the step needed to solve it.

ziro4ka [17]

To solve this, you need to isolate/get the variable "m" by itself in the equation:

1. 2m - 1 = 3m Subtract 2m on both sides to get "m" on one side of the equation

2m - 2m - 1 = 3m - 2m

-1 = m

2. 2m = 1 + m Subtract m on both sides to get "m" on one side of the equation

2m - m = 1 + m - m

m = 1

3. m - 1 = 2 Add 1 on both sides to get "m" by itself

m - 1 + 1 = 2 + 1

m = 3

4. 2 + m = 3 Subtract 2 on both sides to get "m" by itself

m = 1

5. -2 + m = 1 Add 2 on both sides to get "m" by itself

m = 3

6. 3 = 1 + m Subtract 1 on both sides to get "m" by itself

2 = m

8 0

3 years ago