What property of operations will be used to simplify the product of a binomial and trinomial? *

Distributive property.

Step-by-step explanation:

A distributive property is a rule that states that, multiplying two factors such as a binomial and trinomial would give the same result as multiplying the sum of two addends by the other factor.

Hence, the distributive property is used to simplify the product of a binomial and trinomial.

For example, let's find the product of (2x + 4)(5x² + 3x + 10)

First of all, we would distribute trinomial into each of the term in the binomial.

2x(5x² + 3x + 10) + 4(5x² + 3x + 10)

Distributing the monomial into the trinomial, we have;

2x(5x²) + 2x(3x) + 2(10) + 4(5x²) + 4x(3x) + 4(10)

Expanding the bracket, we have;

10x³ + 6x² + 10 + 20x² + 12x² + 40

Collecting like terms, we have;

10x³ + (6x² + 20x² + 12x²) + 10 + 40

10x³ + 38x² + 50

Therefore, (2x + 4)(5x² + 3x + 10) = 10x³ + 38x² + 50

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer