False because that proves the triangles are similar, not congruent
Imagine A'V' is part of the dilated figure, and AV is part of the original figure.
A'V' = 3.2
AV = 3.2 + 4.8 = 8
A'V'/AV = 3.2/8 = 2/5
Answer: First choice, 2/5.
<span>If the common ratio is greater than 1 (which it is in this case), then the series will be divergent. The infinite series will simply keep growing and growing, making it impossible to find the "upper limit." Thus, the correct answer is b.</span>
Answer:
216π cubic centimeters
Step-by-step explanation:
The greatest number of people that they may invite and still stay within their budget is 130 people.
The standard form of a linear equation is given by:
y = mx + b
Where y is a dependent variable, x is an independent variable, m is the slope of the line (the rate of change), b is the y intercept (that is the initial value of y).
Let y represent the budget for x number of people.
Since the reception hall charges a $80 cleanup fee plus $34 per person, hence this can be represented by the function:
y = 34x + 80
They have budgeted $4,500 for their reception. Therefore the greatest number of people can be found from:
4500 = 34x + 80
34x = 4420
x = 130 people
Therefore the greatest number of people that they may invite and still stay within their budget is 130 people.
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