Answer:
Option B
Step-by-step explanation:
we know that
The sum of an arithmetic series is equal to
S=n(a1+an)/2
where
a1 is the first term
an is the last term
n is the number of terms
In this problem we have
n=20
a1=102
an=159
substitute the values in the formula
S=20(102+159)/2
Answer:
the correct answers are 22 and 8
Answer:
3/8
Step-by-step explanation:
(3/8) Since they have the same denominator, you can subtract the second numerator from the first so 6 minus 3 is 3. So 3/8
Answer:
Factoring the trinomial: 
we get the factors 
Step-by-step explanation:
We need to factor the trinomial:
We can factor the trinomial by breaking the middle term i.e 13x
Such that adding or subtracting gets the both terms we get 13x and multiplying both terms we get 12x^2
We can break 13x as: 12x and x
Adding them we get 13x and multiplying them we get 12x^2
So,
So, Factoring the trinomial: we get the factors
Answer:
x = 13
Step-by-step explanation:
This question is based on Secant Secant theorem.
Secant Secant theorem gives us the following formula:
(AB + BD)AB = (AC + CE).AC
From the above question we have the following parameters
AB = 5
BD = x
AC = 7.5
CE = 4.5
Hence,
(AB + BD)AB = (AC + CE).AC
(5 + x)5 = (7.5 + 4.5)7.5
25 + 5x = 90
Collect like terms
5x = 90 - 25
5x = 65
x = 65/5
x = 13
