Answer:
55, 125 and 125
Step-by-step explanation:
In this question, we are asked to find the other 3 angles in an intersection.
Please check attachment for what the diagram of the intersection might look like.
The intersection consists simply of 4 angles meeting at a point with the 2 angles on each side vertically opposite to the angles on the other side.
since one of the angles is 55, and we are having a straight line, the other angle would be 180-55 = 125.[ sum of angles on a straight line is 180]
These two angles are vertically opposite, this means that the other three angles are 55,125 and 125.
Answer:
10.28425
Step-by-step explanation:
Answer:
Step-by-step explanation:
The set {1,2,3,4,5,6} has a total of 6! permutations
a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit.
b. The next 120, including the 124th, would begin with '2'
c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1
d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3
e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126).
Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and one with 5 digit 6 (number 124).
∴ The 124th number is 213564
Similarly reversing the above procedure we can determine the position of 321546 to be 267th on the list.
Answer:
The answer is 168!
Step-by-step explanation:
6*4=24 (There are two triangles so you don't have to divide by 2, 24 is simply the answer to both), 6*9=54, 5*9*2=90, 90+54+24=168! I hope this helps! Have a great rest of your day!
Answer:
n = -2
Step-by-step explanation:
add 7 to both sides
1+8n = -15
subtract 1 from both sides
8n = -16
divide both sides by 8
n = -2