<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.
The formula for area is base*height. a square is the same length on each side, so you would do 17*17= your answer
hope that helps!
Y=0,x=7. Please see the attachment for answers, details and explanation.
9514 1404 393
Answer:
PR = 8
Step-by-step explanation:
The median bisects the side opposite the vertex, so ...
P is the midpoint of AC
Since AC = 25, the length of half that segment is PC = 12.5. Of course, that is the sum of segments PR and RC:
PR + RC + PC
PR + 4.5 = 12.5 . . . . . fill in the known values
PR = 8 . . . . . . . . . . . . .subtract 4.5
