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Katena32 [7]
3 years ago
6

Given line BD is congruent to BC, find the measure of angle B

Mathematics
1 answer:
Degger [83]3 years ago
5 0
If BD is congruent to BC, that means that the sides are equal, so their angles are too.
6x-9 = 3x+24
3x = 33
x = 33/3
x = 11
Angle BCD:
6×11-9 = 66-9 =57°
Angle BDC:
3×11+24 = 33+24 = 57°
Angle B:
x = 180° - 2×57°
x = 66°
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The annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

<h3>What is the total cost?</h3>

Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.

Janice has been offered a job in Chicago where her current salary of $30,000 will increase by 20 percent. Thus, his new salary is,

S=\dfrac{100+20}{100}\times30000\\S=36000

He gets 6000 thousand extra after increment. Her annual income is,

S=36000\times12\\S=432000

Before accepting the position, Janice wants to understand her potential cost of living.

  • She estimates that rent will be $1,500 per month. Thus, the
  • She will have to take the train to and from work, which will be $3.50 round trip daily.
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Janice works 5 days a week for 52 weeks per year. Her annual income be after paying rent, transportation, and food is,

S=432000-1500\times12-3.50\times5\times52-75\times52\\S=409190

Thus, the annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

Learn more about the total cost here;

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