Answer:
x = 7
Length = 4 inches , Width = 15 inches
Step-by-step explanation:
<em>PART</em><em> </em><em>1</em><em> </em><em>:</em>
Area of rectangle = Length × Width
A = L × W
L = x - 3
W = x + 8
Therefore:
A = L × W
60 = ( x - 3 ) ( x + 8 )
( x - 3 ) ( x + 8 ) - 60 = 0
x^2 + 8x - 3x - 24 - 60 = 0
x^2 + 5x - 84 = 0
x^2 + 12x - 7x - 84 = 0
x ( x + 12 ) - 7 ( x + 12 ) = 0
( x + 12 ) ( x - 7 ) = 0
THEREFORE:
x = - 12 , x = 7
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<em>PART</em><em> </em><em>2</em><em> </em><em>:</em>
L = x - 3
L = ( - 12 ) - 3
L = - 15
OR
L = ( 7 ) - 3
L = 4
THEREFORE:
Length can not be a negative number. Hence, L can not equal to - 15.
L = 4 inches
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W = x + 8
W = ( 7 ) + 8
THEREFORE:
W = 15 inches
Answer:
No solution.
Step-by-step explanation:
2x + y = 7
-2x - y = 6
From the first equation:
y = 7 - 2x
Plug this into the second equation:
-2x - (7 - 2x) = 6
-2x + 2x = 6 + 7
0 = 13
this doesn't make sense so theer is:
No solution.
Answer:
133 degrees
Step-by-step explanation:
if FBE is 47 degrees and is identical to angle CBD, then we can consider
EBD as 180 degrees first and subtract 47 degrees, which is 133 degrees, that is how I got my answer.
hope it helped in any way.
Answer:
cool
Step-by-step explanation:
I have no idea what this means but good on u:)
Answer:
k = 10
Step-by-step explanation:
We first have to get the 3rd angle: 180 - 115 = 65
Sum of angles in a triangle = 180
65 + (4k + 5) + (6k + 10) = 180
Collect like terms
65 + 10k + 15 = 180
80 + 10k = 180
Subtract 80 from both sides
10k = 100
Divide both sides by 10
k = 10
