Answer:
<x = 31°
Step-by-step explanation:
m<BCA = m<GCJ (vertical angles)
m<BCA = 59° (substitution)
Since line KL is perpendicular to line FG, the angle formed at point B is 90°.
Therefore, m<ABC = 90°
m<BAC + m<ABC + m<BCA = 180° (sum of triangle)
m<BAC + 90° + 59° = 180° (Substitution)
m<BAC + 149° = 180°
m<BAC = 180° - 149°
m<BAC = 31°
<x = <BAC (vertical angles)
m<x = 31° (substitution)
The pattern that is summed may be written as
S = 1 - 3 + 9 - 27 + . . .
= (-3)^0 + (-3)^1 + (-3)^2 + (3)^3 + . . .
The n-th term in the sum is (-3)^n, for n = 0,1,2,3, . . .
The sum may be written with summation notation as
Answer:
The total number of cups of coffee is 12x - 3 ⇒ last answer
Step-by-step explanation:
- Madden and Jenn both worked at the coffee shop today
- Madden's total cups of coffee made is represented by f(x) = 7x - 4
- Jenn's total cups of coffee made is represented by g(x) = 5x + 1
- We want to write a function represents the total cups of coffee they
made together
∵ f(x) represents the number of cups of coffee that Madden made
∵ f(x) = 7x - 4
∵ g(x) represents the number of cups of coffee that Jenn made
∵ g(x) = 5x + 1
- To find the total cups they made together we will add the two
functions f(x) and g(x)
∵ f(x) + g(x) = (7x - 4) + (5x + 1)
- Add like terms
∴ f(x) + g(x) = (7x + 5x) + (-4 + 1)
∴ f(x) + g(x) = 12x + (-3)
-Remember (+)(-) = (-)
∴ f(x) + g(x) = 12x - 3
* <em>The total number of cups of coffee is 12x - 3</em>
Answer:
the answer is C)
Step-by-step explanation: