Answer:
C. x = 5, y = 7
Step-by-step explanation:
Diagonals of a parallelogram bisects each other. Therefore:
, and,
![x + 2 = y](https://tex.z-dn.net/?f=%20x%20%2B%202%20%3D%20y%20)
✔️To find the value of x, substitute y = (x + 2) in
.
Thus:
![2x = (x + 2) + 3](https://tex.z-dn.net/?f=%202x%20%3D%20%28x%20%2B%202%29%20%2B%203%20)
![2x = x + 2 + 3](https://tex.z-dn.net/?f=%202x%20%3D%20x%20%2B%202%20%2B%203%20)
![2x = x + 5](https://tex.z-dn.net/?f=%202x%20%3D%20x%20%2B%205%20)
Subtract x from each side
![2x - x = 5](https://tex.z-dn.net/?f=%202x%20-%20x%20%3D%205%20)
![x = 5](https://tex.z-dn.net/?f=%20x%20%3D%205%20)
✔️To find y, substitute x = 5 in
.
Thus:
![5 + 2 = y](https://tex.z-dn.net/?f=%205%20%2B%202%20%3D%20y%20)
![7 = y](https://tex.z-dn.net/?f=%207%20%3D%20y%20)
![y = 7](https://tex.z-dn.net/?f=%20y%20%3D%207%20)
Answer:
6.3 years
Step-by-step explanation:
Given
--- initial value
-- rate
--- function
Required
Find t when ![A = 10000](https://tex.z-dn.net/?f=A%20%3D%2010000)
We have: ![A = P(0.88)^t](https://tex.z-dn.net/?f=A%20%3D%20P%280.88%29%5Et)
Substitute:
and ![P = 22400](https://tex.z-dn.net/?f=P%20%3D%2022400)
![10000 = 22400 * 0.88^t](https://tex.z-dn.net/?f=10000%20%3D%2022400%20%2A%200.88%5Et)
Divide both sides by 22400
![0.4464 = 0.88^t](https://tex.z-dn.net/?f=0.4464%20%3D%200.88%5Et)
Take log of both sides
![\log(0.4464) = \log(0.88^t)](https://tex.z-dn.net/?f=%5Clog%280.4464%29%20%3D%20%5Clog%280.88%5Et%29)
Apply law of logarithm
![\log(0.4464) = t\log(0.88)](https://tex.z-dn.net/?f=%5Clog%280.4464%29%20%3D%20t%5Clog%280.88%29)
Solve for t
![t = \frac{\log(0.4464)}{\log(0.88)}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B%5Clog%280.4464%29%7D%7B%5Clog%280.88%29%7D)
![t = \frac{-0.3503}{-0.0555}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B-0.3503%7D%7B-0.0555%7D)
![t = 6.31](https://tex.z-dn.net/?f=t%20%3D%206.31)
![t \approx 6.3](https://tex.z-dn.net/?f=t%20%5Capprox%206.3)
Answer:
21 Students played string instruments
Step-by-step explanation:
58 - 16 = 42, 42 ÷ 2 = 21 so 21 + 21 + 16 = 58. because there are sixteen more wind instruments that means you need to have the wind and string equal and then add 16 more winds which is what i did, if you have 21 string instruments and (21+16) 37 wind instruments then you have 58
Please mark as brainliest :)
Answer:
Yes
Step-by-step explanation:
One triangle can be bigger then another and still have the same angle measure.
Answer:
The first picture on the second page
Step-by-step explanation:
The first picture on the second page would be the answer because it gives exactly one input for each output. It also passes the vertical line test because no point throughout the line creates a vertical line.