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3 years ago

The sum of the measures of the interior angles of a polygon with n sides is

Mathematics

1 answer:

defon3 years ago

8 0

ANSWER

$(n - 2) \times 180 \degree$

EXPLANATION

The sum of the interior angles of a triangle is 180°

We can rewrite this as:

$1 \times 180 \degree = (3 - 2) \times 180 \degree = 180 \degree$

The sum of interior angles of a quadrilateral is 360°

We can also rewrite this as:

$2 \times 180 \degree = (4- 2) \times 180 \degree = 360 \degree$ In general an n-sided polygon has

the sum of the interior angles given by the formula:

$(n - 2) \times 180$

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which of the following represents the equation of the line with an x- intercept of 6 that passes through the point (4,4)?

luda_lava [24]

Answer:

$y=-2x+12$

Step-by-step explanation:

To write the equation of a line, find the slope between two points. Substitute two points into the slope formula. If the equation has an x-intercept of 6 then the line passes through the point (6,0). Use (6,0) and (4,4) in the formula.

$m = \frac{y_2-y_1}{x_2-x_1} =\frac{4-0}{4-6} =\frac{4}{-2} =-2$

Since m = -2, substitute its value and the point (6,0) into the point slope form. Then simplify.

$y-y_1 = m(x-x_1)\\y-0 = -2 (x-6)\\y=-2x+12$

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4 years ago

-0.38 written as a fraction the 8 is a repeating decimal

Simora [160]

Answer:

$\frac{-7}{18}$

Step-by-step explanation:

The line in between the numerator and denominator serves as a division sign so, -7 divided by 18 equals -0.38 with the 8 repeating

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3 years ago

3/4 divided by 5 1/5 =

anyanavicka [17]

0.1442
0.1714
0.05487
0.2075

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3 years ago

Raj’s bathtub is clogged and is draining at a rate of 1. 5 gallons of water per minute. The table shows that the amount of water

Morgarella [4.7K]

Answer:

Draining rate is at 1.5 gallons per minute

That would be y = 1.5g / x.

From the function or the equation, here is the answer.

The range would be all real numbers such that 0 ≤ y ≤ 40.

Step-by-step explanation:

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3 years ago

ALG TWO HELP ASAP?

Alexxx [7]

Answer:

Therefore the period of the sinusoidal wave = 3.14.

The amplitude of the function = 2.

Step-by-step explanation:

The period of a sinusiodal wave is given by the length of x axis which covers one full cycle of the wave, which one positive half-cycle and one negative half cycle.

From the graph we can see that one of the cycles starts at -3.14 / 4 and ends at 3.14 $\times$ 3/4.

Therefore we can sutract the start point value from the end point value to get the period

Therefore period = (3.14 $\times$ 3/4) - (-3.14 / 4) = (3.14 $\times$ 3/4) + (3.14 / 4) = 3.14

Therefore the period of the sinusoidal wave = 3.14.

The amplitude of the function = 2.

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3 years ago