One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)
With all this information, you should have the equation:
n + 8n = 90
To solve, combine like terms to get:
9n = 90
Divide by 9 on both sides to isolate the variable n.
n = 10
Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees.
We are given
First equation:
we can use formula
slope is m=1
y-intercept is b=-1
Second equation:
we can use formula
slope is m=-2
y-intercept is b=5
Graph:
We can see that
both curves intersect at (2,1)
so, solution is x=2 and y=1.................Answer
225=50+25x
175=25x
7=x
Answer: They can rent the boat for up to 7hrs
Hope this helps:)
Amount of Interest = $36
Rate of interest = 3% per annum
Total time period for which the money was invested = 3 years
Let us assume the Principal amount = x
Then
Interest = Principal * Rate of Interest * time
36 = x * 3% * 3
36 = 9x/100
36 * 100 = 9x
3600 = 9x
x = 3600/9
= 400
So the initial sum of the money that was invested was $400.
