Need some help with geometry

Please check the explanation.

Step-by-step explanation:

We know that when two lines intersect we get a pair of opposite angles.

According to the vertical angle theorem, if two angles are vertical then the measure of each angle will be the same i.e. the angles will be congruent.

Identifying angle types:

From the figure, it is clear that

The angle (9y+7)° and (2y+98)° are opposite angles.

Hence,

Determining the equation

As the vertical angles are congruent, so

(9y+7)° = (2y+98)°

Steps solving the equation

We know the equation of vertical angles (9y+7)° and (2y+98)° such as

(9y+7)° = (2y+98)°

solving for y

9y - 2y = 98 - 7

7y = 91

divide both sides by 7

7y/7 = 91/7

y = 13

Therefore, the value of y = 13

2

step-by-step explanation:

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!