<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 answer is 7 1/4
Or 29/4 as an improper fraction
Answer:
c = 127°
Step-by-step explanation:
∡c and ∡a are supplementary angles.
Supplementary angles sum 180°
∡a = 53°
Then:
53° + c = 180°
c = 180° - 53°
c = 127°
Answer:
a) 6
b) 4.5
Step-by-step explanation:
6= 18/3 = x
4.5= 9/2 = x
Answer:80cm^2
Step-by-step explanation:
Area of a parallelogram=base×height
In the above diagram we were given a base of 16cm and height of 5cm
Therefore area of the parallelogram=16×5 which is equal to 80cm^2
