Prove: ABCD is a parallelogram. E A B D C Statements Reasons 1. AB = CD;AD = BC 1. given 2. AC = AC 2. reflexive property 3. AADC - ACBA 3.? 4. ZDAC = ZBCA; ZACD = Z CAB 4. CPCTC 5. ZDAC and ZBCA are alt. int. Zs; 5. definition of alternate interior angles ZACD and ZCAB are alt. int. Zs 6. AB // CD; AD // BC 6. converse of the alternate interior angles theorem 7. ABCD is a parallelogram 7. definition of parallelogram What is the missing reason in step 3? ​

In simplified exponential notation, the expression a^2•a^-3•a 1/a 0

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.

Suppose that 15 inches of wire cost 60 cents. at the same rate, how much (in cents) will 12 inches of wire cost