Wait i think you made a spelling error, did you mean x=3?
Distance = sqrt(5- -6)^2 + (3- -6)^2)
= sqrt (121 + 81)
= sqrt 202
= 14.21 to nearest hundredth
The angles of a triangle will always add up to be 180 degrees total.
x + 82 + x + 82 + 40 = 180
2x + 164 + 40 = 180
2x + 204 = 180
Subtract 204 from both sides.
Think of it as “180 + (-204)”
2x = -24
Divide each side by 2.
x = -12
Answer: x = -12
1/4 * 1/3 * 1/2 * 1/1 = 1/24 chance that all 4 letters are placed in the correct envelopes.
With the first envelope, there are 4 choices of letters, so the probability of picking the correct letter is 1/4.
With the second envelope, there are 3 remaining letters, so the probability of picking the correct letter is 1/3.
The same logic follows the the third and final letter.