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nydimaria [60]
3 years ago
5

Question 11 options: m∥n, m∠1 = 65°, m∠2 = 60°, and m∠6 = 85°. What is m∠DBC?

Mathematics
1 answer:
ladessa [460]3 years ago
3 0

Answer:

∠DBC = 40°

Step-by-step explanation:

∠5 = ∠3 + ∠4 = 180° - ∠6 . . . . relationship of angles at a transversal, vertical angles

∠3 = 180° - ∠1 - ∠2 . . . . . . sum of angles of a triangle

Then

∠4 = 180° - ∠6 - (180° - ∠1 - ∠2) = ∠1 +∠2 -∠6 . . . . substitute for ∠3

∠4 = 65° +60° -85° = 40°

∠4 = ∠DBC = 40°

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I am greater than 320. You say my number if you start at 324 and count from 10 to 10. I have the same number of tens and ones.
Bess [88]

Answer:

344

Step-by-step explanation:

Um..... sorta confusing, but I think you are only allowed to increase by 10 each time, so then you need to add 20 to make 344, where the units digit and tens digit are the same

4 0
2 years ago
Pam works a 52 hours in a week. Considering that a normal work week is 40 hours and paid at $1470 per hour and overtime is paid
Bezzdna [24]

Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

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in total, her gross wage for that week is then

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or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

or

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many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

6 0
3 years ago
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Answer:

900

Step-by-step explanation:

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8 0
3 years ago
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