What is the answer 2(4y+1)=3y
1 answer:
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Answer:
c) 120 ft
Step-by-step explanation:
Let's consider the rhombus has 4 sides, A, B, C, and D.
To find the length of each side, let's first find the length AE.
From the diagram, AE is half of AC and AC = 30 ft.
Therefore,
AE = ½ * 30
AE = 15 ft
Let's find the length AD, since we are looking for the distance around the perimeter.
We are told the rhombus is formed by four identical triangles.
Therefore the distance around the perimeter would be: AD+AD+AD+AD=
30 ft + 30 ft + 30 ft + 30 ft
= 120 ft
The distance around the perimeter of the garden is 120 ft
Subtract y from the fist equation to get an expression for x.
... x + y - y = 6 - y
... x = 6 - y
Assuming your multiplication symbol (×) in the second equation is supposed to be the variable x, performing the substitution gives
... 3(6-y) - y = 6 . . . . . . equation after substitution
... 18 - 4y = 6 . . . . . . . . eliminate parentheses
... 12 - 4y = 0 . . . . . . . . subtract 6
... 3 - y = 0 . . . . . . . . . . divide by 4
... 3 = y . . . . . . . . . . . . .add y
Now, we can use the above expression for x to find x
... x = 6 - y = 6 - 3
... x = 3
The solution of the system of equations is (x, y) = (3, 3).
