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3 years ago

Find the values of a, b and c.

Mathematics

1 answer:

valina [46]3 years ago

7 0

Look at the picture.

Corresponding Angles are equal.

Alternate Angles are equal.

Consecutive Angles add up to 180°.

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3a and 45 are Consecutive Angles. Therefore

3a + 45 = 180 |subtract 45 from both sides

3a = 135 |divide both sides by 3

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(2c - 1) and 45 are Corresponding Angles. Therefore

2c - 1 = 45 |add 1 to both sides

2c = 46 |divide both sides by 2

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3a and (12b + 3) are Alternate Angles. Therefore

3(45) = 12b + 3

135 = 12b + 3 |subtract 3 from both sides

132 = 12b |divide both sides by 12

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What is y-1 =2(x +3) in standard form?

miv72 [106K]

Answer:

y-1=2(x+3)

y-1=2x+6

y=2x+6+1

y=2x+7

6 0

3 years ago

John Doe estimates that the price elasticity of demand for new SUVs to be 0.75. If the price of SUVs rose by 15%; would the quan

Charra [1.4K]

If the coefficient of demand for the SUV is 0.75 this means that it has a relatively inelastic demand since it is less than. In other words, there is only a little alteration in demand when prices change.
So when the price of SUV rise by 15%, and it has a coefficient of 0.75, we can anticipate only 11.25% decrease in its demand. This is for the reason that the SUVs do not have many substitutes for it.
So to solve:
(x/15%) = 0.75
Then simply solve for x:
x = (0.75)(0.15) = 11.25%

4 0

3 years ago

The number of pizzas ordered on friday evenings between 5:30 and 6:30 at a pizza delivery location for the last 10 weeks is show

Ainat [17]

For a smoothing constant of 0.2

Time period – 1 2 3 4 5 6 7 8 9 10

Actual value – 46 55 39 42 63 54 55 61 52

Forecast – 58 55.6 55.48 52.18 50.15 52.72 52.97 53.38 54.90

Forecast error - -12 -.6 -16.48 – 10.12 12.85 1.28 2.03 7.62 -2.9
The mean square error is 84.12

The mean forecast for period 11 is 54.38
For a smoothing constant of 0.8

Time period – 1 2 3 4 5 6 7 8 9 10

Actual value – 46 55 39 42 63 54 55 61 52

Forecast – 58 48.40 53.68 41.94 41.99 58.80 54.96 54.99 59.80

Forecast error - -12 6.60 -14.68 0.06 21.01 -4.80 0.04 6.01 -7.80The mean square error is 107.17

The mean forecast for period 11 is 53.56

Based on the MSE, smoothing constant of .2 offers a better model since the mean forecast is much better compared to the 53.56 of the smoothing constant of 0.8.

7 0

3 years ago

Find x when f(x)=1 . (These means find the input that gives an output of 1.)<br><br> f(x)=1/x-2

Andreyy89

Answer:

x = 1/3

Step-by-step explanation:

1 = 1/x -2

add 2 to both sides

3 = 1/x

x = 1/3

5 0

3 years ago

3.452 × 100 =-------------

Lilit [14]

Answer:

345.2

Step-by-step explanation:

1: Move 3.452 to the end of the equation

(3.452 × 100) -> (3.452 × 100 = 3.452)

2: Since 100 has 2 zeros, move the decimal point 2 places to the right.

(3.452 × 100 = 3.452) -> (345.2)

Hope this helps!

7 0

3 years ago

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