My answer isn't in your choices so it's probably wrong, but hopefully my approach can give you hints.
The vowels are AEAI
The vowels can be arranged in 4*3*2=24 ways.
The non vowels are MTHMTCS
If the vowels must be together, there have to be in one of the spaces between the non vowels.
If we look at it like this:
-M-T-H-M-T-C-S-
The 4 vowels must go in one of the places marked with a dash.
There are thus 8 places to choose from.
But we must also consider that the non vowels can be arranged in any way. There are 7 of them, so they can be arranged in 7*6*5*4*3*2=5040 ways.
Multiply everything together to get 8*5040*24=967680
10 ft apart
Not sure
Good luck!!!!!!!!!!
Answer:
![m\angle MNI = 135^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20MNI%20%3D%20135%5E%7B%5Ccirc%7D)
Step by step explanation:
![\text{The exterior angle of a triangle = sum of two opposite interior angles.}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20exterior%20angle%20of%20a%20triangle%20%3D%20%20sum%20of%20two%20opposite%20interior%20angles.%7D)
![~~~~~~\angle MNI = \angle LMN + \angle MLN\\\\\implies 19x+2=(15x-12)+6x\\\\\implies 19x +2 = 21x-12\\\\\implies 21x -19x = 12+2\\\\\implies 2x = 14\\\\\implies x=\dfrac {14}2\\\\\implies x = 7\\\\\text{So,}~ m\angle MNI = 19(7)+2=135^{\circ}](https://tex.z-dn.net/?f=~~~~~~%5Cangle%20MNI%20%3D%20%5Cangle%20LMN%20%20%2B%20%5Cangle%20MLN%5C%5C%5C%5C%5Cimplies%2019x%2B2%3D%2815x-12%29%2B6x%5C%5C%5C%5C%5Cimplies%2019x%20%2B2%20%3D%2021x-12%5C%5C%5C%5C%5Cimplies%2021x%20-19x%20%3D%2012%2B2%5C%5C%5C%5C%5Cimplies%202x%20%3D%2014%5C%5C%5C%5C%5Cimplies%20x%3D%5Cdfrac%20%7B14%7D2%5C%5C%5C%5C%5Cimplies%20x%20%3D%207%5C%5C%5C%5C%5Ctext%7BSo%2C%7D~%20m%5Cangle%20MNI%20%3D%2019%287%29%2B2%3D135%5E%7B%5Ccirc%7D)
Answer:
x=0
Step-by-step explanation:
Answer:
3/5
Step-by-step explanation:
6 green 4 yellow and 5 blue tiles = 15 tiles
4 yellow and 5 blue tiles = 9 not green tiles
P( not green) = number of not green tiles / total tiles = 9/15 = 3/5