Answer:
see explanation
Step-by-step explanation:
All of these questions use the external angle theorem, that is
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
18
∠3 = 43° + 22° = 65°
19
∠2 + 71 = 92 ( subtract 71 from both sides )
∠2 = 21°
20
90 + ∠4 = 123 ( subtract 90 from both sides )
∠4 = 33°
21
2x - 15 + x - 5 = 148
3x - 20 = 148 ( add 20 to both sides )
3x = 168 ( divide both sides by 3 )
x = 56
Hence ∠ABC = x - 5 = 56 - 5 = 51°
22
2x + 27 + 2x - 11 = 100
4x + 16 = 100 ( subtract 16 from both sides )
4x = 84 ( divide both sides by 4 )
x = 21
Hence ∠JKL = 2x - 11 = (2 × 21) - 11 = 42 - 11 = 31°
Answer
Find out how many months will it take for Jeff to weigh the same as Darius .
To prove
As given
Jeff and Darius are trying to gain weight for the football team.
Jeff weighs 120 pounds and is gaining ten pounds per month.
Darius weighs 150 pounds and is gaining 4 pounds per month.
m = represented the number of months will taken by the Jeff to weigh the same as Darius .
Than the equation become in the form
120 + 10m = 150 +4m
150 - 120 = 10m - 4m
30 = 6m

m = 5 months
Therefore in 5 months will it take for Jeff to weigh the same as Darius.
The answer is 56 hope this helps
A parallelogram is a four-sided figure with opposite sides parallel.
Answer:
-6 3/8 < -7/8
Step-by-step explanation:
Answer:
-6 3/8 < -7/8
Showing Work
Using the given inputs:
-6 3/8 -7/8
Rewriting these inputs as improper fractions:
-51/8 and -7/8
Since we have like denominators we compare the inputs by the numerators:
Therefore, comparison shows:
-6 3/8 < -7/8