Answer:
21 ft by 66 ft
Step-by-step explanation:
From the question,
P = 2(L+W)............... Equation 1
Where P = Perimeter of the playing Field, L = Length of the playing Field, W = width of the playing Field.
If the Length of the Field is 45 ft longer than the width,
L = 45+W............ Equation 2
Substitute Equation 2 into equation 1
P = 2(45+W+W)
P = 90+4W............. Equation 3
Given: P = 174 ft.
Substitute into equation 3
174 = 90+4W
4W = 174-90
4W = 84
W = 84/4
W = 21 ft.
Substituting the value of W into equation 2
L = 45+21
L = 66 ft.
Hence the dimensions of the playing field is 21 ft by 66 ft
Answer:
20/3
Step-by-step explanation:
Every nth term takes the form of a + n*d, where a is the first term.
So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).
equate them both:
94 - 13d = 54 - 7d
40 = 6d
d = 40/6
Answer
Find out the what is the value of n.
To prove
By using the parallelogram property .
In parallelogram opposite angels are congruent .
As shown in the figure .
∠B = ∠ D
As given
∠B = (2n + 32)°
∠D = (4n - 2)°
(2n + 32) = (4n - 2)
solving the above
4n -2n = 32 +2
2n = 34

n = 17
Therefore the value of n is 17 .
Answer:
(-8,8)
Step-by-step explanation:
Simplify |n| + 4 < 12. To do this, subtract 4 from both sides. This results in:
|n| < 8. The solution set includes all real numbers between -8 and 8, but not -8 itself or 8 itself.
I got 18 for this one............