3(n - 5) = 24
Distributive property
3*n = 3n
3*5 = 15
3n - 15 = 24
+ 15 +15
3n = 39
3n/3 = 39/3
x = 39/3
x = 13
Answer: x = 13
Given:
Consider the below figure attached with this ques.
To find:
The length of the line segment XZ.
Solution:
According to the tangent-secant theorem, the square of tangent is equal to the product of secant and external segment of secant.
Using tangent-secant theorem, we get
![WZ^2=ZX\times ZY](https://tex.z-dn.net/?f=WZ%5E2%3DZX%5Ctimes%20ZY)
![(k+4)^2=(k+12)k](https://tex.z-dn.net/?f=%28k%2B4%29%5E2%3D%28k%2B12%29k)
![k^2+8k+16=k^2+12k](https://tex.z-dn.net/?f=k%5E2%2B8k%2B16%3Dk%5E2%2B12k)
![8k+16=12k](https://tex.z-dn.net/?f=8k%2B16%3D12k)
Subtract both sides by 8k.
![16=12k-8k](https://tex.z-dn.net/?f=16%3D12k-8k)
![16=4k](https://tex.z-dn.net/?f=16%3D4k)
Divide both sides by 4.
![4=k](https://tex.z-dn.net/?f=4%3Dk)
Now,
![XZ=12+k](https://tex.z-dn.net/?f=XZ%3D12%2Bk)
![XZ=12+4](https://tex.z-dn.net/?f=XZ%3D12%2B4)
![XZ=16](https://tex.z-dn.net/?f=XZ%3D16)
Therefore, the measure of XZ is 16 units.
Answer:
$16,242.63
Step-by-step explanation:
What I did was I multiplied the original price of the car which was $32,000 by 12% 4 times and each time I would get the answer I would minus it to the price. So heres an example: 32,000*12%=3,840, 32,000-3,840=28,160. 28,160*12=3,379.20, 28,160-3,379.20=24,780.80. And you keep going 2 more times until you get to 4 then after the 4th one you will do 8% twice and you will get $16,242.63.
Answer:
1. 4.7
2. 5,082
Step-by-step explanation:
1. To find the volume of a cone you use this formula
. The diameter is 3 so to find the radius, divide it by 2 (3/2=1.5) and we know the height. Input the numbers into the formula and solve
which is equal to
. To find HALF, divide that answer by 2.
, round to the nearest tenth, making the answer 4.7!
2. To find the volume of a rectangular prism you use
. Input the numbers,
to find the amount of water for the bigger tank (5,760). Now follow the same process to find the amount of water for the smaller tank
which is 678. Now subtract the smaller tank amount (678) from the larger tank since you're taking the water from the bigger tank to fill the smaller one which equals 5,082.
There’s no angle below you need an angle to answer