Answer:
36
Step-by-step explanation:
90-54=36
right angles measure 90 therefore angle a and b has to add up to 90
It is given in the question that,

Since we have the value of r given, so we have to use the formula to find the nth term of the geometric progression, which is

Substituting the values of a and r, we will get

So the correct option is the third option .
Answer:
3x^2 (5x^3 + 4x^2 - 8x - 1)
Step-by-step explanation:
The given expression is 15x^5 + 12x^4-24x^3-3x^2
Here we have to find the GCF of all the above terms.
The GCF is 3x^2, let's take out 3x^2 and write the remaining terms in the parenthesis.
15x^5 + 12x^4-24x^3-3x^2
=3x^2 (5x^3 + 4x^2 - 8x - 1)
Therefore, the factors are 3x^2 and (5x^3 + 4x^2 -8x -1).
15x^5 + 12x^4-24x^3-3x^2 = 3x^2 (5x^3 + 4x^2 -8x -1)
Thank you.
Answer:
f(x) = 12x - 4
Step-by-step explanation:
f(x)= 20 + 12(x - 2)
Distribute
f(x) =20 +12x - 24
Combine like terms
f(x) = 12x+20-24
f(x) = 12x - 4