Answer:
2 contracts
Step-by-step explanation:
Break even point refers to the number of units or sales that needs to be generated for the company to make neither a profit nor a loss.
This means that at the break even point, sales is equivalent to the cost incurred (both fixed and variable).
Let the number of contracts that must be signed to break even be s
The rent is a fixed cost while the cost associated with each contract is variable.
5687.1s = 7000 + 1260.7s
5687.1s - 1260.7s = 7000
4426.4
s = 7000
s = 1.58
≈ 2
She must facilitate 2 contracts each month to break even.
The scale factor of the dilation is 2.
Option D is correct.
Step-by-step explanation:
To find the scale factor of dilation, we find ratio of similar sides.
We are given the point (3,5) is moved to (6,10) under dilation.
Scale Factor = 6/3 = 2
or
Scale Factor = 10/5 = 2
The scale factor of the dilation is 2.
Option D is correct.
Keywords: scale factor of the dilation
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Answer:
subtract a constant from both sides
Step-by-step explanation:
The first step in solving an equation like this is to get the coefficients and variables by themselves, and to do that, you must separate the coefficients (numbers being multiplied by a variable) from the constant (numbers not being multiplied by a variable). You do this by subtracting the constant from both sides of the equation to ensure that they are equal (you subtract -10 from both sides here (adding 10 to both sides)).
Answer:
+) m∠1 = m∠2 (vertical angles theorem)
+) m∠2 and ∠3 are supplementary (because a//b)
+)m∠3 = m∠4 (alternate interior angles theorem, c//d)
=> ∠1 and ∠4 are supplementary (substitution property of equality)
Step-by-step explanation: