Answer:
126
Step-by-step explanation:
By cyclic quadrilateral theorem:

Answer:52 ft.
Step-by-step explanation: If the area of the base of the pyramid is
169
ft
2
then each side of the base is
13
ft
long because the base of the pyramid is a square.
Length of the side,
s
=
√
169
=
13
Iif we take the area of a square
A
=
s
2
where
s
=
13
we get the area of the base to be
169
ft
2
thus proving that each side of the base is
13
ft
long.
So to find the perimeter of the base of the pyramid we use the formula:
P
=
4
s
where
s
=
13
ft
and thus,
p
=
4
⋅
13
ft
=
52
ft
Answer: 94 child tickets
<u>Step-by-step explanation:</u>
Let x represent child tickets
Let y represent adult tickets
Cost Equation: 5.70x + 9.75y = 1306.10
Quantity Equation: x + y = 173
Solve the system of equations using the elimination method:
Multiply the Quantity Equation by -5.70
5.70x + 9.75y = 1306.10
<u> -5.70x - 5.70y</u> = <u>-986.10</u>
4.05y = 320.00
<u> ÷4.05 </u> <u>÷4.05 </u>
y = 79
x + y = 173
x + 79 = 173
x = 94
Answer:
0.2584
Step-by-step explanation:
12 (–1.4m + 0.4) = m + 0.2
Open the bracket
-16.8m + 4.8 = m + 0.2
collect like terms
-16.8m - m = -4.8 + 0.2
-17.8m = -4.6
Divide both sides by -17.8
m = 4.6/17.8 = 46/178
m = 0.2584
Use photo math shows step by step! So much easier than relying on other people!