<em>Answer:</em>
Below is the complete proof.
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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
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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Answer: 230. 34 times five is 170. Then you are left with 170 + 3 + 43 + 4 + 3 +4 + 3. You can combine the 3's and you get 9. You are left with 179 + 4 +4 + 43 You combine the 4's and you get 187. 187 + 43 = 230.
Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:
where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:
Substitute the given points we have;
⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.
Answer:
q = (a - r) / b.
Step-by-step explanation:
a = bq + r
bq = a - r
q = (a - r) / b.
Answer:
Step-by-step explanation:
y=-1
