The measure of both angles are 112.5 and 68.5 degrees
<h3>Complementary angles</h3>
The sum of two complementary angles is 90 degrees.
If two angles are complementary, then;
x + y = 90
x = 90 - y..........1
where x and y are the angles
If two times the measure of one is equal to 40% of the measure of the other then;
2x = 0.4y ............2
Substitute equation 1 into 2
2(90-y) = 0.4y
180 - 2y = 0.4y
180 = -0.4y + 2y
1.6y = 180
Divide both sides by 1.6
1.6y/1.6 = 180/1.6
y = 112.5 degrees
For the other angle
x= 180 - y
x = 180 -112.5
x = 68.5 degrees
Hence the measure of both angles are 112.5 and 68.5 degrees
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Answer:
Step-by-step explanation:
487 is a prime, because 487 is only divided by 1 or by itself
Given mapping is a function.
Domain: 
Range: 
Step-by-step explanation:
By observing Marco's mapping diagram we can see that every value in time is mapped to only one value in the cost. This means that there will be no repetition or same output to two different outputs so given mapping is a function.
<u>Domain:</u>
Domain is the set of all inputs of a function. Here time is input so domain of function is:

<u>Range:</u>
Range is the set of all outputs of the function on domain so the range of the given function is:

Hence,
Given mapping is a function.
Domain: 
Range: 
Keywords: Domain, range, function
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Answer: 0.3 .
Step-by-step explanation:
The digits in number system = 10 ( 0 to 9)
The total different nine-digit Social security numbers =
[By Fundamental counting principle]
= 1 billion
Total people in united state = 300 million = 300, 000 ,000
Since each person In US have equal chance to get chosen.
Therefore , if a number is selected randomly , then the probability that it belongs to one of the 300 million people in the United States :-

Hence, the required probability is 0.3 .
I believe it would b A. Hope it helps