<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: 45 and 3/8
Step-by-step explanation:
8 and 1/4 = 8.25
8.25/d = 2/11
Multiply 2 x d and 8.25 x 11
2d = 90.75
Divide 90.75 by 2 = 45.375
.375 = 3/8
Answer:
Pat would be 32 and Patrick will be 9 before the 5 years
Step-by-step explanation:
pat is older by 23
in 5 years the dad will be 28 years older than his son and 28 x 1/2 = 14
so the son will be 14 in 5 years so he would be 9 now making the dad 23 years older the dad would be 32
Area of a circle = pi • radius^2
A = πr^2
Your circle's diameter is 3 inches, so the radius is 1.5 inches.
A = π • (1.5)^2
≈ 7.065
≈ 7.1
