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SandyRiverty
05.05.2020 •
Mathematics
The following are the ages (years) of 5 people in a room:
20, 21, 13, 22, 18
A person enters the room.
The mean age of the 6 people is now 18.
What is the age of the person who entered the room?
Solved
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Ответ:
The person is 14 years old
Step-by-step explanation:
1. Multiply 6 times 18 which is 108
2. Add all numbers together in list which is 94
3. Subtract 94 from 108 which is 14
4. To check answer add 94 plus 14 and divide by 6 and you will get the median which is 18, now you know this answer is correct.
Ответ:
They are similar by the definition of similarity in terms of a dilation.
Step-by-step explanation:
The first step is finding the sides of each triangle.
In triangle GHI, we have that:
GH = sqrt((4-2)^2 + (8-4)^2) = 4.4721
HI = sqrt((8-4)^2 + (4-8)^2) = 5.6569
IG = sqrt((2-8)^2 + (4-4)^2) = 6
Now, for the triangle JKL, we have:
JK = sqrt((2-1)^2 + (3-1)^2) = 2.2361
KL = sqrt((4-2)^2 + (1-3)^2) = 2.8284
LJ = sqrt((1-4)^2 + (1-1)^2) = 3
The triangles are not congruent, because the sides are different
They are similar, because their sides have a proportion (sides of GHI are 2 times the sides of JKL). If they are similar, they have the same angles.
The ratio of their corresponding sides is 1:2, not 1:3
The ratio of their corresponding angles is 1:1, not 1:3