Answer:
Step-by-step explanation:
First, let's look at the largest triangle (two smaller triangles are combined) to solve for 
. Since the sum of the angles in a triangle adds up to 
, we can write the equation:
Looking at the smaller triangle on the left, 
(exterior angle) is the sum of the two opposite interior angles of the triangle on the left:
Since 
is the exterior angle of the triangle on the right, it is equivalent to the sum of the opposite interior angles of that triangle:
Hope this helps :)
Hello!
Step-by-step explanation:
Mean: 48
Median: 40
Mode: None
Range: 63
Hope this helps!
Answer: He owes Beth and his mom $125
Step-by-step explanation:
Answer:
Total possible number of outcomes = C(24,6) [24 choose 6]
=24!/(6!18!)
= 134596
Out of which there is only one winning combination.
Therefore we conclude:
P(win 20000)=1/134596
P(lose 1)=134595/134596
and hence the expected value is:
20000*(1/134596)+(-1)*(134595/134596)
=-114595/134596
=-0.8514 (rounded to four places after decimal)
Step-by-step explanation:
Hope this helped!
<h2>
Answer:</h2>
4x - 6 + 2x = 3(2x - 2)
4x - 6 + 2x = 6x - 6
[ both sides - 6 cancel each other ]
4x + 2x = 6x
6x = 6x
[ both sides 6x cancel each other ]
0 = 0.
