When considering similar triangles, we need congruent angles and proportional sides.
Hence
"Angles B and B' are congruent, and angles C and C' are congruent." is sufficient to prove similarity of two triangles.
"Segments AC and A'C' are congruent, and segments BC and B'C' are congruent." does not prove anything because we know nothing about the angles.
"Angle C=C', angle B=B', and segments BC and B'C' are congruent." would prove ABC is congruent to A'B'C' if and only if AB is congruent to A'B' (not just proportional).
"<span>Segment BC=B'C', segment AC=A'C', and angles B and B' are congruent</span>" is not sufficient to prove similarity nor congruence because SSA is not generally sufficient.
To conclude, the first option is sufficient to prove similarity (AAA)
The slope formula is the changes of two y-values over/to the changes of two x-values.
Substitute two given points in the formula to find the slope. The m-term represents the slope from y = mx+b.
Answer
Hope this helps and let me know if you have any doubts!
Answer:
The length is 22.5 and the width is 19.5
Step-by-step explanation:
2L + 2W = P
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2L + 2W = 84
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W + 3 + W + 3 + W + W= 84
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4W + 6 = 84
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4W = 78
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W = 19.5 L = 19.5 + 3 = 22.5
I hope this helps, have a nice day! :D
Answer:
A digit that makes this sentence true is 4.
Step-by-step explanation:
Since the first digit in the number to the left is 3, you simply have to find a digit greater than 3. Here are the possibilities:
4
5
6
7
8
and
9
Out of any of these you can choose, I chose 4.
