To solve the equation for x, first, we add 16 from both sides of the equation:
Now, we divide by 6:
Finally, we get that:
Answer:
A: Distance between the Sycamore cabin to the Oak cabin is 30 yards.
B: If she walks to the Mess Hall first she'll be 20 yards closer to the Elm cabin.
Answer
Sorry! number 12 is 2
Step-by-step explanation:
Answer: x+y
Step-by-step explanation: 4x-4y-3x-3y
4x-3x is x
4y-3y is y
<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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