Answer:
2 and 7 are the prime numbers.
Step-by-step explanation:
Tax = 7.65% of $23, 750
Tax = 0.0765 x 23750
Tax = $1816.88 (nearest hundredth)
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Rachel needs to pay $1816.88 for FICA tax
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Part (A)
We have n = 5 sides, so the measure of any exterior angle of a regular pentagon is E = 360/n = 360/5 = 72
Each interior angle is therefore 180-E = 180-72 = 108 degrees.
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Alternatively, you could use the formula below with n = 5
i = interior angle
i = 180(n-2)/n
i = 180(5-2)/5
i = 180(3)/5
i = 540/5
i = 108
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<h3>Answer: 108 degrees</h3>
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Part (B)
We're told that CDF is 70 degrees. From part (A) we know that angle CDE is 108 degrees, so this must mean that angle EDF is 108-70 = 38 degrees.
Similarly, angle FEA is 85 degrees, which subtracts from angle AED to get 108 - 85 = 23 degrees. This is the measure of angle DEF.
So far we found
angle EDF = 38
angle DEF = 23
Let's call these x and y for shorthand. Let z be the missing third angle of triangle DFE.
So,
x+y+z = 180
38+23+z = 180
61+z = 180
x = 180-61
x = 119
Interior angle DFE is 119 degrees.
Note how 90 < x < 180 showing we have an obtuse angle. It is not a reflex angle because the statement 180 < x < 360 is false.
So we subtract the value of x from 360
360-x = 360-119 = 241
This is the reflex angle DFE
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<h3>Answer: 241 degrees</h3>
12 and -4 or (x-12) (x+4)
Answer:
Cathy was right ( kinda)
Step-by-step explanation:
let the dimension of the small one be 2a : 2b : 2c
then the dimension of the big one be 3a : 3b : 3c
volume of small: 2a*2b*2c = 8 abc
volume of big: 3a*3b*3c = 27 abc
volume ratio: big/ small = 27/8 = 3.375
-> big one hold 237.5% more than small
-> Cathy was right ( kinda)