Answer:
The porch is 17 ft by 17 ft
Step-by-step explanation:
The perimeter of a square is
P = 4s where s is the side length
P = 4( 3x+2)
P = 12x+8
We know P = 14x-2
14x-2 = 12x+8
Subtract 12x from each side
14x-2 -12x = 12x+8-12x
2x -2 = 8
Add 2 to each side
2x-2 +2 = 8+2
2x= 10
Divide by 2
2x/2 = 10/2
x = 5
The side is 3x+2
3*5+2
15+2
17
The porch is 17 ft by 17 ft
The two quadrilaterals are similar. Which means the ratios of respective sides of two quadrilaterals will be the same.
So, for the given quadrilaterals, ratio of sides JF and TF of quadrilateral RJFT will be equal to the ratio of sides YP and AP of quadrilateral SYPA. Mathematically, we can write:

So the measure of TF will be 96mm
Option D. 2(n + 9) is the right answer
Step-by-step explanation:
The word problems are converted into mathematical problems to solve simply.
for the given problem
"two times the sum of a number and 9"
Let n be a number then
when there is and between two things they are performed first then next operation is performed so
the sum of a number and 9

Then
two times the sum of a number and 9

Hence,
Option D. 2(n + 9) is the right answer
Keywords: Mathematical notation
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