<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: it is the 4th graph
Step-by-step explanation:
(-3,25)(0,20)(3,16)(6,12.8)
It's not true unless my math is wrong
Answer:
24 mm
Step-by-step explanation:
Since it is a right triangle, we can use Pythagorean theorem
where a and b are the legs, and c is the hypotenuse.
We know one of the legs is 10, and the hypotenuse is 26, so we can substitute 10 in for a, and 26 in for c.
Solve the exponents
Now, solve for b. To do this, get b by itself.
First, subtract 100 from both sides
Take the square root of both sides
b=24
So, the other leg is 24 mm
