What is the reason for the third step in this proof? given: a || b, and both lines are cut by transversal t. prove: 2= 7
1. a || b given
2. 2 3 vertical angles theorem
3. 3 6
4. 2 6 transitive property of congruence
5. 6 7 vertical angles theorem
6. 2 7 transitive property of congruence
answers:
transitive property of equality
a) alternate interior angles theorem
b) corresponding angles theorem
c) same-side interior angles theorem
d) vertical angles theorem

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

Segment wx is shown explain how you would construct a perpendicular bisector of wx using a compass and a straightedge

Y= x – 6 x = –4 what is the solution to the system of equations? (–8, –4) (–4, –8) (–4, 4) (4, –4)