Answer:
Vertical angles must have the same vertex and be congruent as well.
Step-by-step explanation:
If you think in picture, it will be easier
1. king --1/6 of all
2. queen -- 1/5 of what king had left (remaining)
3. 1st prince -- 1/4 of remaining
4. 2nd prince -- 1/3 of remaining
5. 3 rd prince -- 1/2 of remaining
6. there are 3 mangoes left
so if we think that there are 6 parts of all
1. king took 1st part (5 parts left)
2. queen took 1 of what king had left which he left 5 parts (4 parts left)
3. 1st prince took 1 of 4 (3 parts left)
4. 2nd prince took 1 of 3 (2 parts left)
5. 3rd prince took 1 of 2 (1 part left)
that means 1 part equals 3 mangoes
so we have 6 parts at first then there were 18 mangoes originally in the bowl.
i think there is only 1 answer.
Answer:
Area is: 1,728 inches
Perimeter is: 168 inches
Step-by-step explanation:
Area= Length times width
Perimeter= length plus length plus width plus width.
First step: Find how wide the bulletin board is
15 ft² ÷ 3 ft = 5 ft
Step the second: Use the perimeter formula P = 2l + 2w
P = 2(5) + 2(3)
<u>P = 16 ft</u>
Given:
Consider the equation is:
To prove:
by using the properties of logarithms.
Solution:
We have,
Taking left hand side (LHS), we get
![\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Clog_ab%3D%5Cdfrac%7B%5Clog_x%20a%7D%7B%5Clog_x%20b%7D%5Cright%5D)
![[\because \log x^n=n\log x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Clog%20x%5En%3Dn%5Clog%20x%5D)
Hence proved.
