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Lesechka [4]
3 years ago
6

Some regular polygons have an even number of sides. Other regular polygons have an odd number of sides. How does the number of s

ides, even or odd, affect the position of the line of reflection for mapping the polygon onto itself? Explain.
Mathematics
2 answers:
e-lub [12.9K]3 years ago
7 0
The answer to your question is y
Alla [95]3 years ago
7 0

Answer: When a line of reflection coincides with a line of symmetry, the polygon maps onto itself. The position of the line of symmetry depends on the number of sides. For regular polygons with an even number of sides, lines of symmetry are the perpendicular bisectors of the opposite sides and the angle bisectors of opposite vertices. However, the symmetry of regular polygons with an odd number of sides does not allow lines of symmetry to connect the opposite pairs of vertices, so they have symmetry only along the perpendicular bisectors.

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Alex
+-(1,7)/+-(1,3,9)  are the combinations of f(x)
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4 years ago
In a right triangle the leg opposite to the acute angle of 30 degrees in 7in. Find the hypotenuse and the other leg
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the other leg is 90 degrees and 9 inches

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3 years ago
Read 2 more answers
Suppose a 99% confidence interval for the mean weight of high school girls in pounds is (102.3, 106.5). If we had measured the w
AURORKA [14]

Answer:

The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).

Step-by-step explanation:

To find the interval, we can just make the conversion of the values from pounds to kilograms.

Each kilogram has 2.2 pounds. So, to realize the conversion from pounds to kilograms, we divide by 2.2.

Confidence interval: (102.3 pounds, 106.5 pounds).

102.3 pounds = 102.3/2.2 = 46.5 kilograms

106.5 pounds = 106.5/2.2 = 48.41 kilograms

The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).

6 0
3 years ago
a board that is 2 5/8 feet long is cut from a larger board that is 7 1/3 feet long. How much of the board remains?
Rus_ich [418]

Answer:

4\frac{17}{24} feet

Step-by-step explanation:

Total length of the board = 7\frac{1}{3}=\frac{22}{3} feet

Length of board that is removed from the larger board = 2\frac{5}{8}=\frac{21}{8}

When a smaller board is removed, the length of the remaining board can be calculated using subtraction as:

Remaining Length of board = Total Length - Length of smaller board

= \frac{22}{3}-\frac{21}{8}\\\\\text{Taking LCM, which is 24}\\\\ =\frac{8(22)-3(21)}{24}\\\\ =\frac{113}{24}\\\\ =4\frac{17}{24}

This means 4\frac{17}{24} feet of board remains after removing the smaller board from it.

6 0
4 years ago
Need help with Trig/Pre-Calc homework Parabolas.
viva [34]

(1) Equation of the parabola:  y=-\frac{1}{1368}x^2+38

Steps:

We know the span 456 m and max height is 38 m. Since the parabola is symmetric around the vertical going through the maximum point, we know half the span, or 228 m to the left and right from the origin are the zeros of the function. We can place the parabola centered around the origin. Also, since it is an arch, the parabola is upside down, so the coefficient at x^2 is negative:

y=-Ax^2+B

The vertex is at (0,38), and the positive zero at (228,0). That is enough to determine A and B:

38 = -A\cdot 0 + B\implies B=38\\0 = -A\cdot228^2 + 38 \implies A=\frac{38}{228^2}=\frac{1}{1368}\approx0.00073\\y=-\frac{1}{1368}x^2+38

(2) height 204 m from the center: 7.58 m

Steps:

Height at 204 m off the center (either direction) can be calculated by plugging in x=204 into the above equation: y(204)=-\frac{1}{1368}(204)^2+38\approx 7.58

3 0
3 years ago
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