Answer:
x = 2
Step-by-step explanation:
The product of distances from the intersection of secants to the near and far intersections with the circle are the same. For a tangent, the near and far points of intersection with the circle are the same. This relation tells us ...
(2√3)(2√3) = x(x +4)
12 = x² +4x
16 = x² +4x +4 . . . . . add the square of half the x-coefficient to complete the square
4² = (x +2)² . . . . . . . . write as squares
4 = x +2 . . . . . . . . . . positive square root
2 = x . . . . . . . . . . . . . subtract 2
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<em>Alternate solution</em>
If you believe x to be an integer, you can look for factors of 12 that differ by 4.
12 = 1×12 = 2×6 = 3×4
The factors 2 and 6 differ by 4, so x=2 and x+4=6.
Consider all employees.
A.
- gross pay $32,600 - 100%,
- total job benefits $33,600 - x%.
Then
Employee A receives 3.07% of gross pay in employee benefits.
B.
- gross pay $32,900 - 100%,
- total job benefits $34,000 - x%.
Then
Employee B receives 3.34% of gross pay in employee benefits.
C.
- gross pay $33,400 - 100%,
- total job benefits $33,900 - x%.
Then
Employee C receives 1.50% of gross pay in employee benefits.
D.
- gross pay $33,700 - 100%,
- total job benefits $34,700 - x%.
Then
Employee D receives 2.97% of gross pay in employee benefits.
Answer: correct choice is B.
Answer:
C. 43.11°
Step-by-step explanation:
The formula to use in finding m<BCD = ½ the difference of the intercepted arcs AE and BD
Thus:
m<BCD = ½(AE - BD)
m<BCD = ½(112.54 - 26.32)
m<BCD = ½(86.22)
m<BCD = 43.11°
Answer:
7:12
Step-by-step explanation:
boys=5
girls=7
total=boys+girls
12=5+7
girls:total
7:12
