There are ways of picking 2 of the 10 available positions for a 0. 8 positions remain.
There are ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's way of doing that.
So we have
The last expression has a more compact form in terms of the so-called multinomial coefficient,
Answer:
see explanation
Step-by-step explanation:
Given that U is the midpoint of TV, then
TU = UV , substitute values
8x + 11 = 12x - 1 ( subtract 12x from both sides )
- 4x + 11 = - 1 ( subtract 11 from both sides )
- 4x = - 12 ( divide both sides by - 4 )
x = 3
Thus
TU = 8(3) + 11 = 24 + 11 = 35
UV = 12(3) - 1 = 36 - 1 = 35
You have to find what x is to do all of them
Answer:
x = 88
The measurement of the other unknown angle is = 44°
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°
48 + x + x - 44 = 180 add like terms
4 + 2x = 180 subtract 4 from both sides
2x = 176 divide both sides by 2
x = 88
Now to find the measure of two other angles we replace x with 88