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WARRIOR [948]
3 years ago
5

Calculate the value of y

Mathematics
2 answers:
Reika [66]3 years ago
4 0
157 degrees ... set 4x-5 = x+16 then solve, you should get x=7, plug in 7 for one of the equations and you'll get 23. subtract 23 from 180 and get 157. hope that helped :)
Afina-wow [57]3 years ago
4 0

Answer:

157°

Step-by-step explanation:

(4x - 5)° = (x + 16)°.. (vertical angles)

4x - 5 = x + 16

4x - x = 16 + 5

3x = 21

x = 21/3

x = 7

(x + 16)° + y ° = 180°...(Linear pair angles)

(7 + 16)° + y° = 180°

23° + y° = 180°

y° = 180° - 23°

y° = 157°

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s344n2d4d5 [400]

Hey there! I'm happy to help!

The only thing we have to do is solve our inequality to find the answer!

30+15x ≥ 90

We subtract 30 from both sides.

15x ≥ 60

Finally, we divide both sides by four.

x ≥ 4

Therefore, Deepak can only accept jobs that last 4 or more hours.

I hope that this helps! Have a wonderful day!

3 0
3 years ago
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43 centimeters converted into a decimal
anzhelika [568]

43.0 or if your changing it to kilograms 0.00056 kilograms would be the answer.
3 0
3 years ago
A cable is 84 meters long, it is cut into two pieces so that one piece is 18 meters longer than the other. Find the length of ea
weeeeeb [17]

Long Piece: x + 18

Short Piece: x

(x) + (x + 18) = 84

2x + 18 = 84

2x = 66

x = 33

Long Piece: x + 18  = (33) + 18   = 51

Answer: 33 meters and 51 meters

5 0
3 years ago
Cantaloupes are on sale at four different stores. Which store offers the lowest unit rate for cantaloupes, in dollars per pound?
dusya [7]

Given :

Fresh Farm: $4.50 for 5 lbs

Fruit Garden: $1/5 for 1/3 lb

Mother Nature: $4 for 5 lbs

Country Market: $0.85 per pound

To Find :

Which store offers the lowest unit rate for cantaloupes, in dollars per pound.

Solution :

Dollar per pound of each store :

Fresh Farm : 4.50/5 = $0.9 per pound

Fruit Garden: (1/5)/(1/3) = $0.6 per pound

Mother Nature: 4/5 = $0.8 per pound

Country Market: $0.85 per pound

From above we can see that Fruit Garden offers lowest unit rate.

Hence, this is the required solution.

7 0
3 years ago
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bogdanovich [222]

Answer:

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Step-by-step explanation:

cos(∅) = adjacent/hypotenuse

We don't know what the hypotenuse is so we gotta use Pythagorean theorem to find it.

a² + b² = c²

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√(4² + 3²) = c

c = 5  ,  this is our hypotenus

cos(∅) = adjacent/hypotenuse

cos(∅) = 3/5

8 0
3 years ago
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