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stiks02 [169]
3 years ago
11

Solve for the value of x by applying the definitions of complementary and supplementary angles

Mathematics
1 answer:
Tatiana [17]3 years ago
4 0

9514 1404 393

Answer:

  x = 52

Step-by-step explanation:

The square corner symbol indicates the sum of the marked angles is 90°. (They are complementary.)

  (x +3)° +35° = 90°

  x° = 90° -38° = 52°

  x = 52

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Answer: She will pay $52.68, including taxes

Step-by-step explanation: One can of tennis ball is $4 and there are no discount on it. Elena bought 3 cans, so:

can = 3 x 4 = 12

One tennis racket is $43 but it has a discount of 15%:

discount = 0.15 x 43 = 6.45

total racket = 43 - 6.45 = 36.55

Elena will have to pay:

pay = 12 + 36.55 = 48.55

She will also have to pay taxes, which are 8.5% over the price she paid:

pay + tax = 48.55 x 0.085 = 4.13

total to pay = 48.55 + 4.13 = 52.68

Buying 3 can of tennins ball and one racket, Elena paid $52.68, including taxes.

4 0
3 years ago
Rina is making a nut mixture to sell at the local farmers' market. She mixes 6 pounds of pecans with a nut mixture that is 70% p
Marat540 [252]
So the best way to do these is concentration1 (%) × volume1 = concentration2 × volume2
Or C1V1 + C2V2 = C3V3, where C1 = 100% (bc ALL pecans), V1 = 6 lbs, C2 = 70%, C3 = 82%:
100%×6 + 70%×v2 = 82%×(6+v2)
100%=1.00, 70%=.7, 82%=.82
note: if none is poured out then v3 = v1+v2
6 + .7v2 = .82 (6+v2)
6 + .7v2 = 4.92 + .82v2
6 + .7v2 -.7v2 = 4.92 + .82v2 -.7v2
6 = 4.92 + .12v2
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1.08 = .12v2
.12v2/.12 = 1.08/.12
v2 = 9 lbs
that's only v2!!!

For the final poundage, we need v3:

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7 0
3 years ago
Select the favorable Outcomes for rolling double sixes
ira [324]
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The given point is given as (r1 , r2) where:
r1 is output from first roll
r2 is output from second roll

Since we want both outputs to be 6, therefore, the answer would be: (6,6)
4 0
4 years ago
Ajay Analyzed two companies and has formulated tables to model each company growth, where x represents the age of the companies
loris [4]

If the number of employees is an indicator of a successful business, the company that Ajay should invest is company 1 because it is adding six employees each year while company 2 is multiplying its number of employees by six each year. You can also see form the table above that as the number of years increased, the number of employees also increases. Company 1 and 2 is directly proportional with the number of years and the number of employees.

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5 0
3 years ago
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The correct answer is 64
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3 years ago
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