The value of x would be 60 degrees
explanation
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the triangle has one missing angle that would be congruent to x since they are corresponding angles which means they are congruent.
We know that the triangle has to add up to 180 degrees. We add the 2 angles and get 120 degrees. We subtract 120 degrees from 180 to find the 3rd missing angle that is congruent to x degrees. 180-120=60 degrees. If 60 degrees is corresponding to x degrees, therefore, x should be equal to 60 degrees.
Hope this helps :)
Answer:
Step-by-step explanation:
2/5x + 6=3/4x-8
<u>Given</u>:
Given that the radius of the cone is 10 cm.
The height of the cone is 25 cm.
We need to determine the volume of the cone.
<u>Volume of the cone:</u>
The volume of the cone can be determined using the formula,
![V=\frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h)
where r is the radius and h is the height of the cone.
Substituting r = 10 and h = 25, we get;
![V=\frac{1}{3}(3.14)(10)^2(25)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%2810%29%5E2%2825%29)
Simplifying, we have;
![V=\frac{1}{3}(3.14)(100)(25)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%28100%29%2825%29)
Multiplying, we get;
![V=\frac{1}{3}(7850)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%287850%29)
Dividing, we get;
![V=2616.67 \ cm^3](https://tex.z-dn.net/?f=V%3D2616.67%20%5C%20cm%5E3)
Thus, the volume of the cone is 2616.67 cubic cm.
Hence, Option c is the correct answer.
Answer:
The town recreation department ordered 66 baseballs and 24 bats.
Step-by-step explanation:
Let the number of baseball be 'x'.
Also Let the number of bats be 'y'.
Given:
Total items bought = 100
Now we can say that;
Total items bought is equal to sum of number of baseball and number of bats.
Framing in equation form we get;
![x+y =100 \ \ \ \ equation \ 1](https://tex.z-dn.net/?f=x%2By%20%3D100%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%201)
Also Given:
Cost of each baseball = $4.50
Cost of each bat = $20
Total purchase = $822
Now we can say that;
Total Purchase is equal to to sum of number of baseball multiplied by Cost of each baseball and number of bats multiplied by Cost of each bat.
framing in equation form we get;
![4.5x+20y =822 \ \ \ \ equation\ 2](https://tex.z-dn.net/?f=4.5x%2B20y%20%3D822%20%5C%20%5C%20%5C%20%5C%20equation%5C%202)
Multiplying equation 1 by 4.5 we get;
![4.5(x+y) =100\times4.5\\\\4.5x+4.5y = 450 \ \ \ \ equation \ 3](https://tex.z-dn.net/?f=4.5%28x%2By%29%20%3D100%5Ctimes4.5%5C%5C%5C%5C4.5x%2B4.5y%20%3D%20450%20%5C%20%5C%20%5C%20%5C%20equation%20%5C%203)
Now Subtracting equation 3 from equation 2 we get;
![(4.5x+20y)-(4.5x+4.5y) = 822-450\\\\4.5x+20y-4.5x-4.5y =372\\\\15.5y = 372](https://tex.z-dn.net/?f=%284.5x%2B20y%29-%284.5x%2B4.5y%29%20%3D%20822-450%5C%5C%5C%5C4.5x%2B20y-4.5x-4.5y%20%3D372%5C%5C%5C%5C15.5y%20%3D%20372)
Dividing both side by 15.5 we get;
![\frac{15.5y}{15.5}= \frac{372}{15.5}\\ \\y =24](https://tex.z-dn.net/?f=%5Cfrac%7B15.5y%7D%7B15.5%7D%3D%20%5Cfrac%7B372%7D%7B15.5%7D%5C%5C%20%20%5C%5Cy%20%3D24)
Substituting the value of y in equation 1 we get;
![x+y =100\\\\x+24 =100\\\\x =100-24 =66](https://tex.z-dn.net/?f=x%2By%20%3D100%5C%5C%5C%5Cx%2B24%20%3D100%5C%5C%5C%5Cx%20%3D100-24%20%3D66)
Hence the town recreation department ordered 66 baseballs and 24 bats.
0 would be on the top, hope this helps