Answer: x=25
solution:
we know that
The triangle external angle theorem states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles
In this problem:
m∠9=m∠7+m∠8
substitute the given values:
(6x-20)°=30°+4x°
now solve for x:
6x-4x=30+20
2x=50
x=25 which is the final answer:)
Answer:
Step-by-step explanation:
1m = 39.37 inches
200 m = 200 x 39.37 = 7874
Answer:
6327
1827
2418
832
742
606
3248
2127
5436
203 X 4=812
Step-by-step explanation:
The top portion of this graph would be y = 4
The bottom portion would be y = x - 1
In order to find both of these, we have to look at them separately. Let's start with the flat line between 1 and -1. Since it is between those numbers, we know this one goes on top. We also know that since the line is horizontal, that the equation must be y = the number that it sits at. This is the definition of a horizontal line. Since the line is at 4, we get y = 4.
For the sloped portion, we have to pick two points and find the equation of the line. Let's use (3, 2) and (5, 4). We must start by finding slope (m)
m = (y1 - y2)/(x1 - x2)
m = (4 - 2)(5 - 3)
m = 2/2
m = 1
So we know slope to equal 1. Now we can use a point and slope intercept form to find the y-intercept (b)
y = mx + b
4 = 1(5) + b
4 = 5 + b
-1 = b
Now put them together in an equation for the bottom part: y = x - 1
Answer: a) 8.779 years
b) 8.664 years
<u>Step-by-step explanation:</u>
a)
- A: accumulated amount (balance)
- P: principal amount (original/initial investment)
- r: interest rate (convert to a decimal)
- n: number of times compounded per year
- t: number of years
Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown
b)
