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Lerok [7]
2 years ago
12

In ΔWXY, m∠W = (2x - 12)°, m∠X = (2x +17)°, and m∠Y = (9x - 7)°. Find m∠X.​

Mathematics
1 answer:
bazaltina [42]2 years ago
7 0

Answer:

45°

Step-by-step explanation:

Angles in a triangle add to 180 degrees, so

  • 2x - 12 + 2x + 17 + 9x - 7 = 180
  • 13x - 2 = 180
  • 13x = 182
  • x = 14

So, the measure of angle X is 2(14)+17=45°

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In the triangle below, suppose that m/Q = (2x-3)°, m/R= (5x+7)°, and m/S=xº.
o-na [289]

Answer:

Please Attach The Pic so someone can answer.....

Step-by-step explanation:

7 0
2 years ago
Write the smallest 4-digit numeral using 0,2,8, and 7
Sholpan [36]
Should be 0,2,7,8 i dont think you could go any lower
7 0
4 years ago
hank has a triangular rug in his bedroom. the perimeter of the rug is 14 feet . two of the side lengths are 6 feet . what is the
Mariana [72]

Answer:

The 3rd side of the rug is 2 ft long

Step-by-step explanation:

6+6=12

14-12=2

2 ft long

4 0
3 years ago
A Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimen
Vikki [24]

Answer:

bottom side (a) = 3.36 ft

lateral side (b) = 4.68 ft

Step-by-step explanation:

We have to maximize the area of the window, subject to a constraint in the perimeter of the window.

If we defined a as the bottom side, and b as the lateral side, we have the area defined as:

A=A_r+A_c/2=a\cdot b+\dfrac{\pi r^2}{2}=ab+\dfrac{\pi}{2}\left (\dfrac{a}{2}\right)^2=ab+\dfrac{\pi a^2}{8}

The restriction is that the perimeter have to be 12 ft at most:

P=(a+2b)+\dfrac{\pi a}{2}=2b+a+(\dfrac{\pi}{2}) a=2b+(1+\dfrac{\pi}{2})a=12

We can express b in function of a as:

2b+(1+\dfrac{\pi}{2})a=12\\\\\\2b=12-(1+\dfrac{\pi}{2})a\\\\\\b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a

Then, the area become:

A=ab+\dfrac{\pi a^2}{8}=a(6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a)+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a^2+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}-\dfrac{\pi}{8}\right)a^2\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right)a^2

To maximize the area, we derive and equal to zero:

\dfrac{dA}{da}=6-2\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right )a=0\\\\\\6-(1-\pi/4)a=0\\\\a=\dfrac{6}{(1+\pi/4)}\approx6/1.78\approx 3.36

Then, b is:

b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a\\\\\\b=6-0.393*3.36=6-1.32\\\\b=4.68

3 0
3 years ago
The box plots show the average wind speeds, in miles per hour, for two different islands.
lutik1710 [3]

*see attachement.

Answer:

Country A because it has a smaller interquartile range

Step-by-step explanation:

A smaller interquartile range connotes that the data in the distribution do not vary much, while a larger interquartile range would suggest the data vary much.

Therefore, the island that would have an average speed close to its median would be the island whose interquartile range is smaller.

Thus, Country A has a smaller interquartile range, so therefore, it would have a daily wind speed close to its median.

6 0
3 years ago
Read 2 more answers
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