Statement Reason
1. Let points A, B, and Cform a
triangle
given
2. Let De be a line passing
through B, parallel to AC,
with angles as labeled
defining a parallel line and labeling angles
3.
4.m_1 = m 4, and
m23 = m25.
Congruent angles have equal measures.
5.m24+ m2 2 + m25 = 180°
angle addition and definition of a straight angle
6. m_1 + m22 + m23 = 180°
substitution
What is the missing step in this proof?

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.

There are 15 plates and each plate is either 7 or 12 inches diameter. which systems of equations do you use to find the number of 7 inch plates, x and 12 inch plates, y

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