Answer:

Step-by-step explanation:
→ State the gradient formula
( y₂ - y₁ ) ÷ ( x₂ - x₁ )
→ Find x₁ , x₂ , y₁ and y₂
x₁ = 4 , x₂ = 12 , y₁ = 9 and y₂ = 20
→ Substitute in the values

→ Simplify

Answer:
47 degrees
Step-by-step explanation:
The sum of angles in a triangle must be 180
32+101+x=180
133+x=180
x=47.
Answer: 60480
Step-by-step explanation:
Given : The number of empty seats in a theater = 9
The number of customers need to find places to sit =6
Since order matters here, so we use permutations
The permutations of n things taking r at a time is given by :-

Then, the number of ways to arrange 6 seat in 9 seats :-

Hence, the number of ways to arrange 6 seat in 9 seats = 60480
The simplest form of the given expression
is 
<u>Solution:</u>
Given, expression is 3 11/12 – 1 4/12 
We have to find the simplest form of the value derived from the given expression.
Now, first let us solve the given equation.

converting mixed fractions to improper fractions.


As there are no common terms to cancel it is in lowest form.
Hence, the lowest form of the given expression is 
Answer: To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.