<h3>Answer: 7 goes in the blank space</h3>
The range of values for x is 2 < x < 7
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Explanation:
The hinge theorem says that the larger the opposite side is, the larger the angle will be.
AD = 11, DC = 8
Since AD > DC, this means angle ABD > angle DBC.
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angle ABD > angle DBC
20 > 4x-8
20+8 > 4x-8+8 ... add 8 to both sides
28 > 4x
4x < 28 ... flip both sides and the inequality sign
4x/4 < 28/4 ... divide both sides by 4
x < 7
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At the same time, the angle 4x-8 cannot be 0 or negative.
So we say 4x-8 > 0. Let's solve this for x.
4x-8 > 0
4x-8+8 > 0+8 ... add 8 to both sides
4x > 8
4x/4 > 8/4 ... divide both sides by 4
x > 2
2 < x ... flip both sides and the inequality sign
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We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7
We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.
R = ((3V)/((pi)(h^2))+h)/3
Answer: Option C. 55
Solution:
The key for a stem-and-leaf plot is:
12 | 5 = 12 5
Stem | Leaf = Stem Leaf
55 | 6 = 55 6
Stem: 55
Leaf: 6
Answer:
The shape of the vegetable garden is a rectangle.
Step-by-step explanation:
The shape of the vegetable garden is a rectangle because when you reflect the points across-the y it will show a rectangle.
Hope this helps!!
Step-by-step explanation:
9(x+1) = 25+x
open the bracket
9x + 9 = 25+x
collect like terms
9x-x = 25-9
8x = 16
x = 2
