The following are the ages (years) of 5 people in a room:
13, 22, 13, 18, 14
A person enters the room.
The mean age of the 6 people is now 23.
What is the age of the person who entered the room?

16

Step-by-step explanation: first order your numbers from least to greatest then add all your numbers then divide by how many you have and then that is how you get the answer for the sixth person

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

need more detail

step-by-step explanation:

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