<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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<span>We add all these numbers up.
137.50 +162.50+92.50= 392.50$
Use a cacl or by hand</span>
I think the correct answer among the choices listed above is option C. Alexa is constructing a circle inscribed in a triangle. She has partially completed the construction. Her next step is to use the arc markings to determine the radius to construct the circle.
119.9 degree
i used the pythagorean theorem to find it
Answer:
48.2 cm
Step-by-step explanation:
The bottom side of the large triangle has length 78 cm.
The bottom side of the right triangle has length 78 cm/2 = 39 cm.
Now we use the Pythagorean theorem to find the vertical side, the spine.
39² + s² = 62²
s² = 3844 - 1521
s² = 2323
s = 48.2
Answer: 48.2 cm
