<em>Answer:</em>
Complete proof is written below.
Facts and explanation about the segments shown in question :
- As BC = EF is a given statement in the question
- AB + BC = AC because the definition of betweenness gives us a clear idea that if a point B is between points A and C, then the length of AB and the length of BC is equal to the length of AC. Also according to Segment addition postulate, AB + BC = AC. For example, if AB = 5 and BC= 7 then AC = AB + BC → AC = 12
- AC > BC because the Parts Theorem (Segments) mentions that if B is a point on AC between A and C, then AC > BC and AC>AB. So, if we observe the question figure, we can realize that point B lies on the segment AC between points A and C.
- AC > EF because BC is equal to EF and if AC>BC, then it must be true that the length of AC must greater than the length segment EF.
Below is the complete proof of the observation given in the question:
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<em>STATEMENT REASON </em>
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1. BC = EF 1. Given
2. AB + BC = AC 2. Betweenness
3. AC > BC 3. Def. of segment inequality
4. AC > EF 4. Def. of congruent segments
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<em>Keywords: statement, length, reason, proof</em>
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C=1.67n
It's kind of like y=mx+b. C stands for the overall price. And n stands for the amount of pounds. For example if someone bought 6 pounds apples at the farm it would be
c=1.67(6)
c= $10.02
If 1cm equals 1000 millimeters, then multiply 7 by 1000 and you will get your answer. 7 times 1000 equals 7,000 millimeters.
7*1000
Multiply
Final Answer: 7,000
A
Let x be the number of hour spent in the studio. Since 225 is a fixed price, and they pay 80 dollars per hour, the total cost will be 
. Jenna has 200 dollars, and can raise 350 more dollars, so she can spend any amount between 200 and 200+350=550. That's why the inequality models this problem.
B
To solve the inequality, subtract 225 to all sides:
Divide all sides by 8:
A negative value for x doesn't actually make sense, so the solution space is
So, she can rent the studio for up to 4 hours.
C
The price for 6 hours is
If Jenna raises 350 dollars, she has 550 dollars. So, she needs
more dollars to rent the studio for 6 hours
