In a triangle the sides has 82 degrees ,2x+10 degrees and x degrees what is x

x = 29 1/3 degrees

Step-by-step explanation:

A triangle has 3 angle that total 180 degrees.

The three angles given are 82 degrees ,2x+10 degrees and x degrees.

So,  

82+ (2x+10) + x = 180

Combine like terms.

92 + 3x = 180

Subtract 92 from each side

3x = 180 -92

3x = 88

divide each side by 3

3x/3 = 88/3

Change 88/ 3 to a mixed number

3 goes in to 88 29 times  with 1 left over.

x = 29 1/3 degrees

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

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