First of all, the left triangle is an equilateral triangle. Which means that all the interior angles are 60 degrees.
4w=60
w=15
Then all 3 sides are equal thus we can set up equation 3x-y=4y then simplify,
3x=5y
Going to the triangle on the right its isosceles we can set up equation 2x+50=180
2x=130
x=75
Substitute this back into equation above 3x=5y
5y=3*75
y=45
Therefore
x=75
y=45
w=15
Done!
10 small boxes and 11 large boxes were shipped.
Step-by-step explanation:
Given,
Total boxes shipped = 21
Total volume of shipped boxes = 342 cubic feet
Volume of each small box = 10 cubic feet
Volume of each large box = 22 cubic feet
Let,
Number of small boxes = x
Number of large boxes = y
According to given statement;
x+y=21 Eqn 1
10x+22y=342 Eqn 2
Multiplying Eqn 1 by 10

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 12

Putting y=11 in Eqn 1

10 small boxes and 11 large boxes were shipped.
Keywords: linear equation, subtraction
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Answer:
Step-by-step explanation:
since you are already given the formula just plug in the numbers.
the only tricky part is r=rate must be in decimal form!!!
I=4,000(.035)(2)
I=280 (answer)
Answer: A. $6x + $27 < $87
Step-by-step explanation:
Your question says “...x represents the number of times he eats out”, when he eats out its $6, so that means obviously that the x would be by the 6 and the less then symbol would be facing 87 cause your wont to spend less then that amout.
Have a good day and stay safe :)