The ways we can prove the triangles congruent:
SAS (side, angle, side)
ASA (angle, side, angle)
AAS (angle, angle, side)
SSS (all sides equal)
RHS/HL (Right Angle-Hypotenuse-Side/Hypotenuse-legs)
In these cases:
A. <B = <E
<A = <D
AC=DF
AAS (angle, angle, side) could be used.
B. AB=ED
BC=EF
AC=DF
SSS (all sides equal) could be used.
C.<BEA=<CED (right opposite angles)
As there is only one pair of equal angles we can find,there is not enough information.
D.<B = <E
BC=CE
<ECD < ACE(right opposite angles)
ASA (angle, side, angle) could be used.
Hope it helps!
Answer:
<em>m</em> ≤ 35
Step-by-step explanation:
The variable "m" is no greater than 35.
Note that "no greater" means that it can be up to the certain number (in this case, 35), but cannot exceed it. Your answer will be:
<em>m</em> is less than or equal to 35, or <em>m</em> ≤ 35.
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Answer:
35.6%
Step-by-step explanation:
31/87(100)
3100/87
35.6%
We have been given that there are 125 people and three door prizes.
In the first part we need to figure out how many ways can three door prizes of $50 each be distributed?
Since there are total 125 people and there are three identical door prices, therefore, we need to use combinations for this part.
Hence, the required number of ways are:

In the next part, we need to figure out how many ways can door prizes of $5,000, $500 and $50 be distributed?
Since we have total 125 people and there are three prices of different values, therefore, the required number of ways can be figured out by using permutations.

The answer is the square root of 18 or 4.242