<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.
Answer:
x = 66
Step-by-step explanation:
m<5 + m<6 = 180
2x + 48 = 180
2x = 132
x = 66
Answer: 3*10^5 or 300,000 cant remember witch one it is
Step-by-step explanation:
1.5*10^2= 150
2*10^3=2,000
150*2000=300,000
3*10^5
Answer:
C, D, and E
Step-by-step explanation:
When trying to solve for the cost of each item you will find a rainbow fish is $8.50 and a tetra is $2.50. If you use that information to solve the other answer choices C, D, and E would be correct
Step-by-step explanation:
Our roots are 3, and i so our roots form
will be
Since i is one root, it conjugate, must be the other.
so we have
Simplify
So the function is
