All angles in a triangle add up to 180
180 = 9 + 15 + 2x - 1 + 3x
180 = 24 - 1 + 2x + 3x
180 = 23 + 5x
180 - 23 = 5x
157 = 5x
Divide both sides by 5
X = 31.4 or 157/5
Answer:
The person invested $3500 at 7% and $2500 at 5%
Step-by-step explanation:
We can say that
because the investment is equal both in one as in another, where x is the income from the investment.
Solving the equation we have:

Then to get the incomes:
At 7%: 
And at 5%: 
Finally we can demonstrate the answer because the income at 7% + income at 5% are 3500+2500=$6000
The maximum volume would be when the bottom of the box is a square.
The perimeter of the bottom is 36, so the side of the square would be 36/4 = 9 cm.
Then to find volume multiply the length by the width by the height:
Volume = 9 x 9 x 4 = 324 cm^3
The answer would be a.
Answer:
the
Step-by-step explanation:
it's fairly easy actually. You just have to use sin