Answer:
70
Step-by-step explanation:
Answer:
<em>x = 59</em>
Step-by-step explanation:
<u>Equations</u>
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
The image shows a four-sided polygon and its four angles measures, thus we sum them all and equate the sum to 360:
x + x + 2x + 3 + 2x + 3 = 360
Simplifying:
6x + 6 = 360
Subtracting 6:
6x = 354
Dividing by 6:
x = 354/6
x = 59
Answer:
10,000 vehicles.
Step-by-step explanation:
20 percent of 50,000 is 10,000.
-9x + 2 > 18.
-9x > 16
x < -16/9
13x ≤ -19
x ≤ -19/13
x < -16/9 or. x ≤ -19/13
<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.
--------
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.
