The other parallel side is 44 m
Step-by-step explanation:
Let us revise the formula of the area of a trapezium
, where
and
are its parallel bases- h is its height (The distance between the two parallel bases)
∵ The area of a trapezium is shaped field is 480 m²
∴ A = 480 m²
∵ The distance between two parallel sides is 15 m
∴ h = 15 m
∵ One of the parallel side is 20 m
∴
= 20 m
We need to find 
Substitute all these value in the rule of the area below
∵ 
∴ 
- Multiply the two sides by 2
∴ 
- Divide both sides by 15
∴ 
- Subtract 20 from both sides
∴ 
The other parallel side is 44 m
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Answer:
Step-by-step explanation:
a₂ - a₁ = 20 - 4 = 16
a₃ - a₂ = 100 - 16 = 84
Since a₂ - a₁ ≠ a₃ - a₂, the sequence is not arithmetic.
a₂/a₁ = 20/4 = 5
a₃/a₂ = 100/20 = 5
Since a₂/a₁ = a₃/a₂ = 5, the sequence is geometric with a common ratio of 5.
Since y = 2x + 14 you can substitute (2x + 14) for y in the second equation
-4x - (2x + 14) = 4.
This is an equation with only one variable so you can solve it for x. Then use that answer to find the value for y.
Distribute the subtraction sign throughout the terms in the ()s.
-4x - 2x - 14 = 4
-6x - 14 = 4 This is how I got -6x: -4x - 2x = -6x (combine like terms)
-6x -14 + 14 = 4 + 14 This will eliminate -14
-6x = 18 Now divide both sides by -6
x = -3
y = 2(-3)+14 = 8
Solution to the system is (-3, 8)
ANSWER TO YOU QUESTION: you can substitute (2x + 24) for y
Step-by-step explanation:
the angle at J = ((3x + 19) + 189)/2
so,
122 = (3x + 19 + 189)/2
244 = 3x + 208
36 = 3x
x = 12
so, D is the correct answer.