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skad [1K]
3 years ago
15

The measurement of an angle is five times the measurement of its supplement.What is the measurement of the angle? Is it 30°, 35°

, 40°, or 45°?
Mathematics
1 answer:
choli [55]3 years ago
6 0

Two angles that are supplements add up to 180°.

"The angle" is five times its supplement.

If I call the supplement 'S', then 'the angle' = 5S .

                                       S + 5S  =  180°

Combine like terms:      6S  =  180°

Divide each side by  6 :  S  =  30°

The supplement of 'the angle' = 30°.
That's one of the choices.

"The angle" = 5S  =  150°.
That's NOT one of the choices.

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A new American graduate is contemplating buying a Japanese, German, or an American car. No matter the type of car, he plans to b
Svetach [21]

Answer:

The best option is to buy Japanese Car.

Step-by-step explanation:

Fuel usage per year is 150000/ 8 = 18750 miles per year

Fuel cost (year 1 -8) = $3.0, $3.06, $3.12, $3.18, $3.25, $3.312, $3.38, $3.5

Japanese Car:

Fuel usage 18750 / 23 = 815 * $3 = $2446  

Fuel charges (year 1 -8) = $2445, $2494, $2623, $2758. $2900, $3050, $3207, $3372

Repair Cost (year 1 - 8) = $700, $721, $742, $764, $787, $811, $835, $860

Insurance cost (Year 1 - 8) = $700, $714, $728, $742, $757, $772, $788, $804

Present value of cost at 5% = 24674.07

Cost of car is $30,000

Total cost = $54674.07

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Cost $35,000

Fuel usage 18750/20 = 937.5 * $3 per gallon = $2812.5.

Fuel charges (year 1 -8) = $2812, $2913, $2986, $3011. $3098, $3124, $3176, $3208

Repair Cost (year 1 - 8) = $800, $894, $921, $978, $1109, $1176, $1207, $1301

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Present value of cost at 5% = 25302.18

Cost of car is $35,000

Total cost = $60302.

German Car:

Cost = $45,000

Fuel usage 18750 / 21 = 892 * $3 = $2678  

Fuel charges (year 1 -8) = $2679, $2732, $2786, $2842. $2899, $2987, $3077, $3171

Repair Cost (year 1 - 8) = $1000, $1040, $1081, $1124, $1169, $1216, $1265, $1316

Insurance cost (Year 1 - 8) = $850, $867, $884, $902, $920, $938, $957, $976

Present value of cost at 5% = 27105.73

Cost of car is $45,000

Total cost = $72105.

6 0
3 years ago
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never [62]
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(x + 9)(2x - 3) = 0
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Since x > 0, then x ≠ -9
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