<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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Answer:
x=-25
Step-by-step explanation:
looked it up
Let Tory’s sister age = x
Since Tory is 3 years older than her sister ,
Tory = (x + 3)
let Quentin’s brother age = x
( because quentin’s brother & tory’s sister are the same age , we can let both their ages be x )
Since Quentin is 8 years less than twice his brother’s age ,
Quentin = (2x -8)
Since Quentin and Tory are the same age ,
x + 3 = 2x - 8
-x = -8-3
x = 11
Ans : 11 years old :)
I’m so sorry if this is incorrect
Answer:
bearing of Y from X is 074°
Step-by-step explanation:
the bearing of Y from X is the clockwise measure of the angle from the northline N to Y , that is
180° - 106° = 74°
the 3- figure bearing of Y from X is 074°
