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enot [183]
4 years ago
9

Find the measure of each exterior angle of a regular 56-gin

Mathematics
1 answer:
Studentka2010 [4]4 years ago
3 0
The sum of the measure of the exterior angles of any polygon is 360. x represents the measure of a single exterior angle.
360/56=x
The simplified fraction is 45/7
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The midpoint of Line
vodka [1.7K]

Answer: ( 4,7)

Step-by-step explanation:

7 0
3 years ago
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Plato math help please
fomenos

Answer: option (C)

Step-by-step explanation: The slope of a linear function is undetermined when the line is parallel respect to the y-axis. In the current problem there is no way to observe such geometrical issue, but if we consider how to derive the slope using the following expression; m=\frac{\Delta y}{\Delta x}= \frac{y_{2}-y_{1}}{x_2-x_{1}}.

With the previous equation, we have

a) for P_{1}(-1,1), P_{2}(1,-1)   m=\frac{\Delta y}{\Delta x}= \frac{-1-1}{1-(1)}=\frac{-2}{2}=1\\, therefore the slope is defined

b) for P_{1}(-2,2), P_{2}(2,2)   m=\frac{\Delta y}{\Delta x}= \frac{2-2}{2-(2)}=\frac{0}{4}=0\\, therefore the slope is defined

c) for P_{1}(-3,3), P_{2}(-3,3)   m=\frac{\Delta y}{\Delta x}= \frac{3-(-3)}{-3-(-3)}=\frac{6}{0}=undetermined\\

d) for P_{1}(-4,4), P_{2}(4,4)   m=\frac{\Delta y}{\Delta x}= \frac{4-(-4)}{4-(-4)}=\frac{8}{8}=1\\

In this case, the option (C) shows that is not possible to divide over zero. Given such issue, the slope is undetermined and therefore it is a vertical line parallel to y-axis.

6 0
4 years ago
Find the value of X so that the rectangle and the triangle have the same perimeter. What is the perimeter?
kvasek [131]
Perimeter is the sum of all sides of a two-dimensional shape. Therefore, we can construct the following equation to find the value of X:

2x + 4 + 2x + 2 = x + 7 + x + 3 + x + 9
4x + 6 = 3x + 19
4x - 3x = 19 - 6
x = 13

If the perimeter of these shapes is the same, whatever which of them we use for calculating we will find the same result.

Rectangle:
13 + 2 + 13 + 2 + 13 + 1 + 13 + 1 = 58

Or

Triangle:
13 + 7 + 13 + 3 + 13 + 9 = 58

The perimeter is 58.
6 0
3 years ago
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5. Suppose y varies directly with x, and y= 14<br> when x= 2. What is y when x = 6?
Oduvanchick [21]

Answer:

\boxed{42}

Step-by-step explanation:

The formula for direct variation is

y = kx

1. Calculate the value of k

y = 14 when x = 2

\begin{array}{rcl}14& = & k \times 2\\k & = & \dfrac{14}{2}\\& = & 7\\\end{array}

2. Value of y

k =7; x = 6

\begin{array}{rcl}y & = & 7 \times 6\\ & = & \mathbf{42}\\\end{array}\\y = \boxed{\mathbf{42}} \text{ when x = 6}

7 0
3 years ago
A number b less than the quotient of a number K and 5
iogann1982 [59]
B< k/5 is the equation
6 0
4 years ago
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