Identify the correct two-column proof. Given: WXYZ is a parallelogram.

Prove: m∠W+m∠Z=180°
The figure shows parallelogram W X Y Z.

1. WXYZ is a parallelogram. (Given)2. WX⎯⎯⎯⎯⎯⎯∣∣∣∣ZY⎯⎯⎯⎯⎯ (Def. of parallelogram)3. ∠W and ∠Z are supp. (Same-side Int. ∠s Thm.)4. m∠W+m∠Z=180° (Alt. Int. ∠s Thm.)

1. WXYZ is a parallelogram. (Given)2. WX⎯⎯⎯⎯⎯⎯∣∣∣∣ZY⎯⎯⎯⎯⎯ (Def. of parallelogram)3. ∠W and ∠Z are supp. (Alt. Int. ∠s Thm.)4. m∠W+m∠Z=180° (Same-side Int. ∠s Thm.)

1. WXYZ is a parallelogram. (Given)2. WX⎯⎯⎯⎯⎯⎯∣∣∣∣ZY⎯⎯⎯⎯⎯ (Def. of parallelogram)3. ∠W and ∠Z are supp. (Alt. Int. ∠s Thm.)4. m∠W+m∠Z=180° (Def. of supp. ∠s)

1. WXYZ is a parallelogram. (Given)2. WX⎯⎯⎯⎯⎯⎯∣∣∣∣ZY⎯⎯⎯⎯⎯ (Def. of parallelogram)3. ∠W and ∠Z are supp. (Same-side Int. ∠s Thm.)4. m∠W+m∠Z=180° (Def. of supp. ∠s)

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3

his chances of getting a coin of higher value is 4/19

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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