The length of side b is 7.61 m.
Here's how the length was calculated:
Let:
length of side a = 12 centimeters
B = 36 degrees
C = 75 degrees
In order to solve an AAS triangle, use the three angles, add to 180 degrees to find the other angle, then, use The Law of Sines to find each of the other two sides.
A = 180 - (36 + 75) = 69 degrees
by using the law of sines:
a / sin A = b / sin B = c/ sin C
we will substitute the given values:
12 / sin (69) = b / sin (36)
b = unknown
12 / 0.93 = b / 0.59
12.9 = b / 0.59
b = 12.9 * 0.59
b =7.61 cm (length of side b)
C
..................................
M = ( (-6+4)/2, (3+-2)/2 )
M = (-1, 1/2)
Answer:
$200
Step-by-step explanation:
Let X be the amount of Christmas money he had at the beginning.
He put 65% of X in the bank. This is 0.65x
He has $70 left which is equal to 0.35x
We need to write an equation to find the value of x.
70 = 0.35x
Divide by 0.35 to find the value of x.
70/0.35 = 0.35x/0.35
200 = x
He received $200 for Christmas.
Yes on day 7, they both have 46 dollars
