HELP!! Which of the following information would prove the quadrilateral ABCD is a rectangle?

Slope of AB = 2, slope of BC = -1/2

Slope of CD = 2, slope of DA = -1/2

Note how the slopes of AB and BC are negative reciprocals. Multiplying 2 and -1/2 together will result in -1. This shows us that AB is perpendicular to BC. Perpendicular slopes always multiply to -1 (assuming neither line is vertical). The same can be said about CD and DA as well. The segments being perpendicular mean we have four right (or 90 degree) angles forming. A rectangle is defined as a quadrilateral with four right angles.

360/29

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752