<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:
<em>$528</em>
Step-by-step explanation:
A. Calculating The Markdown Price
X=Markdown price
Original price: $600
Markdown rate: 20%
100%-20%=80%
The TV's price is now 80% of what it originally was.
100x=48000
x=480
The price of the TV after being marked down is $480.
B. Calculating The Sales Tax
Y=Total sales tax
TV price: $480
Sales tax: 10% or 0.1
y=480*0.1
y=48
The total sales tax is $48
C. Calculating Your Total
x+y=total
480+48=total
total=528
You in total pay $528 for the TV.
There are no values of
m
m
that make the equation true.
No solution
Answer:
E. 22
Step-by-step explanation:
Hello!
We know that b>6, and we are asked to find the possible values for 3b + 3.
Let's directly substitute 6 for b:
Now, because b is greater than 6, and not equal to 6, any value greater than 21 will work.
The correct option is E. 22.
