Answer:
width = 7, length = 11
Step-by-step explanation:
area = 77
length = 3w - 10
width = w
w(3w - 10) = 77
3w^2 - 10w - 77 = 0
(3w + 11)(w - 7) = 0
we rule out 3w + 11 = 0 because w would be negative
so we use w - 7 = 0
so the width = 7
length = 3w - 10
length = 21 - 10
length = 11
Answer:(4, 2)
Step-by-step explanation:
midpoint is between the x and y blah blah
Answer:
Step-by-step explanation:
1) m∠1 +m∠2 + m∠3 = m∠LAM (Angle addition postulate)
2) m∠1 + m∠2 + m∠3 = 180 (def. of straight angle)
3) y║z (Given)
4) ∠1 ≅ ∠5 (alternate interior angles theorem)
5) ∠3 ≅ ∠6 (alternate interior angles theorem)
6) Since m∠1 + m∠2 + m∠3 = 180
m∠5 + m∠2 + m∠6 = 180
Hence proved.
Answer:
One of my favorite examples is in starting a fire. You can't just hold a match to a log and expect it to work, even though the log and small twigs are the same material and have the same burning point. A cluster of small twigs and splinters bunched up together has a huge surface area compared to a log.
Step-by-step explanation:
Answer:
B. $54
Step-by-step explanation:
PEMDAS: Do multiplication and division first
65 - (2*7=14) + (9/3=3)
65-14+3
Go from left to right and solve
51+3=54
