Provide the missing statement and reasons for the following proof: B
A
A
C D
=
Given: MZA+mZB=mZD
Prove: m2C + m2A +mZB = 180°
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Reason
Statement
S1. MZA+MzB = MZD
R1. Given
S2. C and 2D form a Linear Pair
R2. Definition of Linear Pair
S3. ZC and 2D are supplementary
R3
S4.
R4. Definition of supplementary
S5. MLC + m2A + 2B
180°
R5.

Ineed with angles and the measure of them i have abc a is 65 and b is (3x-10) and c is (2x) find the value of x

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.