Answer:
115°
Step-by-step explanation:
The sum of angle measures of a pentagon is 540°, so your unknown angle can be found from ...
... 103° + 100° +110° +112° +unknown = 540°
... unknown = 540° -425° = 115° . . . . . . . . subtract 425° from both sides
_____
<em>Angles of a polygon</em>
The external angles lf a convex polygon always sum to 360°. The sum of internal and external angles is, of course, 180°. So, an n-sided polygon has internal angle measures that sum to ...
... n×180° - 360° = 180°×(n -2)
Thus, a pentagon has internal angles that sum to ...
... 180°×(5 - 2) = 540°
Answer:
The amount of interest earned at the end of 14 years would be $672.3486
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
In this problem, we have that:

So

The amount of interest earned at the end of 14 years would be $672.3486
- If x = 5 is a zero of the given polynomial, then,
- (x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
- Now, divide the polynomial with (x - 5) using long division method. (See the picture)
- We get (x^2 - x - 6) as the quotient.
- Now, factorise the above polynomial:
- (x^2 - x - 6)
- = (x^2 - 3x + 2x - 6)
- = x(x - 3) + 2(x - 3)
- = (x - 3)(x + 2)
- Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)
<u>Answer</u><u>:</u>
<u>B.</u><u>(x − 5)(x − 3)(x + 2)</u>
Hope you could get an idea from here.
Doubt clarification - use comment section.
Standard form of an exponential function is y=ab^x
when x=0, y=3, 3=ab^0, so you can figure out that a=3
when x=-1, y=6, 6=3b^(-1), b^(-1)=2, b=1/2
so the equation is y=3(1/2)^x
Answer:
30
Step-by-step explanation:
let EFH = x
Let GFH = y
x + y = 90
x = 2y
Substitute: 2y + y = 90
3y = 90
y = 30