Select the correct answer. Given: BC || DE, and ∠GAC ≅ ∠AFD. Prove: Statement Reason 1. ∠GAC ≅ ∠AFD given 2. ∠GAC ≅ ∠AFE For parallel lines cut by a transversal, corresponding angles are congruent. 3. 4. ∠AFD and ∠AFE are supplementary. Linear Pair Theorem 5. m∠AFD = m∠AFE = 90° If two congruent angles are supplementary, then each angle is a right angle. 6. definition of perpendicular lines What is the missing step in the proof? A. Statement: ∠GAC and ∠GAB are supplementary. Reason: Linear Pair Theorem B. Statement: ∠AFE ≅ ∠AFD Reason: Transitive Property of Equality C. Statement: ∠GAC ≅ ∠BAF Reason: Vertical Angles Theorem D. Statement: ∠GAC and ∠AFD are supplementary. Reason: Linear Pair Theorem

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!

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."

the answer to 1/4x+5/3x-4=2-1/12x is x=3

hope this if needed hmu

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