<em>Answer:</em>
Below is the complete proof.
<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
Explanation:
- As BC = EF is given
- AB + BC = AC because it holds betweenness. Betweenness defines 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.
- 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.
- AC > EF because BC = EF and if AC>BC, then it must be AC>EF.
<em>Keywords: segment, proof, statement</em>
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The correct answer is "Having $517.98 in you checking account and writing a check for $563.28" because you are spending more money than you have in your account.
Hope this helped :)
Answer:


Step-by-step explanation:
Let
. We have that
if and only if we can find scalars
such that
. This can be translated to the following equations:
1. 
2.
3. 
Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for
and check if the third equationd is fulfilled.
Case (2,6,6)
Using equations 1 and 2 we get


whose unique solutions are
, but note that for this values, the third equation doesn't hold (3+2 = 5
6). So this vector is not in the generated space of u and v.
Case (-9,-2,5)
Using equations 1 and 2 we get


whose unique solutions are
. Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.
Answer:
I think it is a 160o Angle
Step-by-step explanation: