17. RQ is the same as PS.
PS = -1 + 4x
RQ = 3x + 3
-1 + 4x = 3x + 3
4x = 3x + 4
x = 4
Now plug that into RQ.
3(4) + 3 = RQ
15 = RQ
18. Angles G and E are equal to each other.
G = 5x - 9
E = 3x + 11
5x - 9 = 3x + 11
5x = 3x + 20
2x = 20
x = 10
Plug that x into G.
5(10) - 9
41 = G
19. TE and EV are equal to each other.
TE = 4 + 2x
EV = 4x - 4
4 + 2x = 4x - 4
2x = 4x - 8
-2x = -8
x = 4
Plug that into TE.
4 + 2(4)
12 = TE
20. DB and BF are equal.
DB = 5x - 1
BF = 5 + 3x
5x - 1 = 5 + 3x
5x = 6 + 3x
2x = 6
x = 3
Plug that into DB.
5(3) - 1
14 = DB
Put numbers in order: 4,5,6,6,7,8,9,9,10,10,12,12,14,15
Cut the list into two equal parts: 4,5,6,6,7,8,9 and 9,10,10,12,12,14,15
Find middle numbers: 4,5,6,6,7,8,9 and 9,10,10,12,12,14,15
Lower quartile: 6
Upper quartile: 12
The difference of the values of the first and third quartiles of the data set is 12 - 6 = 6
Answer:
what exactly is it asking the angle like 90 degrees obtuse acute?
Step-by-step explanation:
Answer:
k > -26
Step-by-step explanation:
To isolate the k, you subtract 6 from both sides to get k < -26.
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Find Area of the circle:
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Area of a circle = πr²
Area of the largest possible circle = π x(12 ÷ 2)²
Area of the largest possible circle = 113.10 ft²
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Find Area of the square board:
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Area of a square board = Length x Length
Area of the square board = 12 x 12
Area of the square board = 144 ft²
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Find area of the remaining board:
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Area of the remaining board = 144 - 113.10
Area of the remaining board = 30.90 ft²
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Answer: The area of the remaining board is 30.90 ft².
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