<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:
<em />
<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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Is the first one, not periodic
Answer:
the last one i think
Step-by-step explanation:
Answer:
x ≥ 48
Step-by-step explanation:
D. g(x) = f(x) +9 is the right answer
Step-by-step explanation:
The shifting of graphs is mathematically denoted by adding or subtracting a number from the output or input.
When the graph is shifted up, a number is added to the functions's output
For example
For a function
f(x)
Shifting up is represented as g(x) = f(x)+b where b is a number
So,
Given function is:
f(x) = x
Shifting the graph 9 units upwards we will get
g(x) = f(x) + 9
Hence,
D. g(x) = f(x) +9 is the right answer
Keywords: Functions, Graphs
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