<span>All the angles of a triangle add up to 180 degrees.
Since two of the angles are the same, we can write:
2A+B=180
Where 2A accounts for the two angles that are the same.
We are given the relation:
B=A+30
We can plug this into our first equation:
2A+A+30=180
</span><span>
Combine like terms and move the 30 to the other side:
3A=150
Divide both sides by 3:
A=50
We can solve for B by plugging A back into our relation:
B=50+30
B=80
To check: 80+50+50 so we are correct.</span>
<u>Answer-</u>
<em>The probability that in the box there are 1 red and 8 blue markers is</em><em> 0.111 or 11.1%</em>
<u>Solution-</u>
In the box all markers are red or blue. There are total of 9 markers.
So the number of possible combination number of red or blue marker is,
As at the random drawn, there was a Blue marker, so the condition of (9,0) i.e 9 Red marker and 0 Blue marker is not a case.
So the sample space becomes,
Let us assume that E is the event that in the box there are 1 red and 8 blue markers. So
The probability that in the box there are 1 red and 8 blue markers is,
15/2 = 7.5
7.5 x 2 1/2 = 18 3/4 cups
Hope this helps!
4.409 x 10^-6
move the decimal 6 places to the right