Answer:
120%
Convert fraction (ratio) 30 / 25 Answer: 120%
The slope is negative and is -16 / 8 = -2
The y intercept is at y = 16
General form is y = mx + c
m = -2 and c = 16 so we have :-
y = -2x + 16 Answer
The factor outside the parentheses is -1. Distribute using that factor.
2 - (4 - <em>x</em>) = 7<em>x</em> - 5<em>x</em>
<em />
-1 * 4 = -4 and -1 * -<em>x</em> = <em>x</em>
<em />
2 - 4 + <em>x</em> = 7<em>x</em> - 5<em>x</em>
Simplify.
-2 + <em>x</em> = 2<em>x</em>
<em>x</em> = 2<em>x</em> + 2
-<em>x</em> = 2
<em>x</em> = -2
<h3>
Answer:</h3>
<em>x</em> = -2
<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.
Diagonals are = n - 2
Interior = 144
Exterior angle = 180 - 144 = 36
Formula for exterior of a regular polygon given the number of sides:
= 360/n
36 = 360/n
n = 360/36 = 10
n = 10
Number of diagonals = n - 2 = 10 - 2 = 8
8 diagonals.
