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dimaraw [331]
3 years ago
8

Find the constant of variation for this equation y=4x

Mathematics
1 answer:
Fantom [35]3 years ago
3 0
<span>the number 4 in the equation y/x = 4 is called the constant of variation The equation y/x = 4 can also be written in the equivalent form y = 4x hopefully this helps </span>
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Answer the Blanks:
vfiekz [6]

Answer:

1. 90°

2. 90°

3. 40°

4. 45°

5. 45°

Step-by-step explanation:

<u>Given:</u> ΔABC,

CD⊥AB,

m∠A=50°,

m∠ACB=85°

<u>Solution:</u>

1. ∠ADC is a right ange, because CD⊥AB, so

m\angle ADC=90^{\circ}

2. ∠CDB is a right ange, because CD⊥AB, so

m\angle CDB=90^{\circ}

3. Consider triangle ACD. The sum of the measures of all interior angles is always 180°, so

m\angle A+m\angle ADC+m\angle ACD=180^{\circ}\\ \\50^{\circ}+90^{\circ}+m\angle ACD=180^{\circ}\\ \\m\angle ACD=180^{\circ}-50^{\circ}-90^{\circ}=40^{\circ}

4. By Angle Addition Postulate,

m\angle ACD+m\angle BCD=m\angle ACB\\ \\40^{\circ}+m\angle BCD=85^{\circ}\\ \\m\angle BCD=85^{\circ}-40^{\circ}=45^{\circ}

5. Consider triangle ABC. The sum of the measures of all interior angles is always 180°, so

m\angle A+m\angle ACB+m\angle B=180^{\circ}\\ \\50^{\circ}+85^{\circ}+m\angle B=180^{\circ}\\ \\m\angle B=180^{\circ}-50^{\circ}-85^{\circ}=45^{\circ}

6 0
3 years ago
Which of these ratios are equivalent ratio<br> 1:4 2:8 3:6 7:28
Harrizon [31]

Answer:

1:4

2:8

7:28

Step-by-step explanation:

  • 1:4
  • 2:8 , 1:4
  • 7:28, 1:4
5 0
2 years ago
Determine the domain and range of the graphed function
insens350 [35]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
The amount of chlorine in a swimming pool varies directly with the volume of water. the pool has 2.5 milligrams of chlorine per
djverab [1.8K]

Answer:

Find out the  how much chlorine is in the pool .

To prove

As given

The amount of chlorine in a swimming pool varies directly with the volume of water.

The pool has 2.5 milligrams of chlorine per liter of water.

i.e

2.5 milligrams of chorine = 1 litre of water

There are 8000 gallons of water in the swimming pool.

As 1 gallons = 3.78541 litre (Approx)

Now convert 8000 gallons of water in litres.

8000 gallons = 8000 × 3.78541 litre

                      = 30283.28 litres

Now calculate chlorine in the pool for 30283.28 litres  of waters.

As

2.5 milligrams of chlorine = 1 litre of water

2.5 × 30283.28 milligrams of chlorine = 30283.28 litre of water

75708.2 milligrams of chlorine for 30283.28 litre of water .





3 0
3 years ago
Read 2 more answers
A. 60 degrees <br> B. 120 degrees <br> C. 30 degrees <br> D. 150 degrees
kondaur [170]

Answer:

yu

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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