Answer:
a. (-3,3), (18,-6), (9,15)
Step-by-step explanation:
If the scale factor is 3 and dilation is about the origin, each of the coordinates of the pre-image is multiplied by 3 to get the coordinates of the image.
Multiplying (-1, 1) by 3 gives (-3, 3), which matches choices A and C.
Multiplying (6, -2) by 3 gives (18, -6) which matches choices A and D.
The only viable choice is choice A.
Parallel lines
Explanation:
Answer:
Area pf the regular pentagon is 193
to the nearest whole number
Step-by-step explanation:
In this question, we are tasked with calculating the area of a regular pentagon, given the apothem and the perimeter
Mathematically, the area of a regular pentagon given the apothem and the perimeter can be calculated using the formula below;
Area of regular pentagon = 1/2 × apothem × perimeter
From the question, we can identify that the value of the apothem is 7.3 inches, while the value of the perimeter is 53 inches
We plug these values into the equation above to get;
Area = 1/2 × 7.3× 53 = 386.9/2 = 193.45 which is 193
to the nearest whole number
Answer:
Step-by-step explanation:
Let x be the wait times before a call is answered in phone calls.
The claim is x bar <3.3 minutes
Sample size n =62
Sample mean - x bar = 3.24 minutes
Population std dev =
Since population std dev is known and also sample size is sufficiently large, we can use Z test.

(one tailed test)
Mean difference = 3.24-3.3 = -0.06 min
Std error of sample =
Z = tset statistic = 
p value = 0.119
Since p value > alpha, we accept null hypothesis.
There is no evidence to support the claim at alpha = 0.08
<em>The moon is a sphere.</em><span><span><em> </em>
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