Given:
ΔONP and ΔMNL.
To find:
The method and additional information that will prove ΔONP and ΔMNL similar by the AA similarity postulate?
Solution:
According to AA similarity postulate, two triangles are similar if their two corresponding angles are congruent.
In ΔONP and ΔMNL,
(Vertically opposite angles)
To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need one more pair of corresponding congruent angles.
Using a rigid transformation, we can prove
Since two corresponding angles are congruent in ΔONP and ΔMNL, therefore,
(AA postulate)
Therefore, the correct option is A.
Answer:
132 students
Step-by-step explanation:
100% means all of something, so 100% can also be written as 1.00
Since we need 55% of 240, we can multiply 240 by 0.55 and get 132.
Answer:
The correct option is A) Once an individual is selected, the individual cannot be selected again.
Step-by-step explanation:
Consider the provided statement.
Without replacement mean each population sample unit has only one opportunity in the sample to be chosen.
For example:
If a bag contains 5 red and 3 white ball and you randomly select a white ball, the probability of selecting the white ball is 3/8.
Now if the experiment is done by without replacement that means the white ball (which you have selected) is no longer the part of the sample space.
Hence, we can say that once an individual is selected, the individual cannot be selected again.
Thus, the correct option is A) Once an individual is selected, the individual cannot be selected again.
Answer:
The surface area is 
Step-by-step explanation:
we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces
so
![SA=b^{2}+4[\frac{1}{2}(b)(l)]](https://tex.z-dn.net/?f=SA%3Db%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28l%29%5D)
where
-----> the slant height
substitute the values
![SA=10^{2}+4[\frac{1}{2}(10)(14)]](https://tex.z-dn.net/?f=SA%3D10%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%2810%29%2814%29%5D)
Answer:
45.75%
Step-by-step explanation:
