Efg and gfh are a linear pair, m efg = 4n + 20, and m gfh = 5n +16 what are m efg and m gfh?

m<EFG = 84

m<GFH = 96

Step-by-step explanation:

The measures of the angles of a linear pair add to 180 degrees.

m<EFG and m<GFH = 180

4n + 20 + 5n + 16 = 180

9n + 36 = 180

9n = 144

n = 16

m<EFG = 4n + 20 = 4(16) + 20 = 84

m<GFH = 5n + 16 = 5(16) + 16 = 96

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!