What is the value of x in the triangle?

x=

Step-by-step explanation:

This triangle is a right triangle. We know this because of the little square in the corner of the triangle, that represents a right angle.

Therefore, we can use Pythagorean theorem.

a^2+b^2=c^2

a and b are the legs, and c is the the hypotenuse.

In this triangle, we know that 6 and x are the legs, because they form the right angle. We know 8 is the hypotenuse because it is opposite the right angle.

So, a is 6, b is x, and c is 8, and we can substitute them in.

6^2+x^2=8^2

36+x^2=64

Subtract 36 from both sides

x^2=28

Take the square root of both sides

x=

So, the first choice is correct

step-by-step explanation:

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12