Hector must find the sum of 50+83+50 by using mental math. which property allows hector to simplify the equation to 50+50+83 and find an equivalent sum? associative property commutative property distributive property identity property

Hector used commutative property .

Step-by-step explanation:

The required sum is

50+50+83\\
=100+83\\
=83

Hector need to find the sum of 50+83+50 b using mental math.

Hector simplify the expression 50+50+83 to find the required sum.

We can see that he has changed the order of addition.

We know that when we change the order of the addition then it doesn't affect the result. This law is called commutative property of addition.

This law states that for any real number x and y, we have

Therefore, Hector used commutative property .

The required sum is

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

1 1/7 hope i

step-by-step explanation:

8/7 = (1 * 7 + 1) / 7 = 1 + 1/7 = 1 1/7