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vixen0528ow6mza
28.05.2021 •
Mathematics
Can more than one triangle be drawn with one side length of 4 centimetres and 2 centimetres and an included angle of 50°? Explain.
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Ответ:
No .
Step-by-step explanation:
If we make two triangles with lengths of 4 centimeters and 2 centimeters and an included angle of 50°, then by SAS congruence postulate both triangle will be congruent.
According to the definition of congruence , if two shapes are congruent then they have equal size and shape.
i.e. they look exactly same.
It means only one triangle is possible with the given measurement .
SAS congruence rule : It says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then we can say that these two triangles are congruent.
Answer from JeanaShupp
Link to his
Ответ:
1/15
Step-by-step explanation:
When we form such three-digit numbers with distinct digits using the digits 1 , 2 , 3 , 5 , 8 and 9 (in all six digits all different), observe that the order of digits does matter. For example, if we make a number using digits 1 , 2 , and 3 , we can have 123 , 132 , 231 , 213 , 312 or 321 .
Hence we have to find number of 3 digit numbers that can be made from these six digits using permutation and answer is ⁶ P ₃ = 6 × 5 × 4 = 120 .
.How haw many of them will have first digit as even, we have two choices 2 and 8 . Once we have chosen 2
for hundreds place, we can have only 8 in units place and any one of remaining 4 can be used in tens place. Hence four choices, with 2 in hundreds place and another four choices when we have 8 in hundreds place (and 2 in units place) i.e. total 8 possibilities.
Hence, the probability, that both the first digit and the last digit of the three digit number are even numbers, is 8 /120 = 1 /15
.