From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.
Answer: resulting cross section is a hexagon, correct choice is option 4.
![( \sqrt[4]{ {5}^{3} } ) = {5}^{ \frac{3}{4} }](https://tex.z-dn.net/?f=%28%20%5Csqrt%5B4%5D%7B%20%7B5%7D%5E%7B3%7D%20%7D%20%29%20%3D%20%20%7B5%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20)
Power over root

Multiple the exponents and that's your answer!
Using the arrangements formula, it is found that there are 24 ways for them to stand in line so that the youngest person is always first, and the oldest person is always last.
<h3>What is the arrangements formula?</h3>
The number of possible arrangements of n elements is given by the factorial of n, that is:

In this problem, we have that there are 6 people. The youngest person(Leslie) has to be first, while the oldest(Parvinis) has to be last, while the remaining 4 can be arranged, hence the number of ways for them to stand in line is given by:

More can be learned about the arrangements formula at brainly.com/question/24648661
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Answer:
m<t=113
Step-by-step explanation:
42+92+2x=360
x=113
m<t=113
Answer:
45
Step-by-step explanation:
Set up ratios for 2 similar triangles:
20/28=x/x+18
Cross multiply
28x=20x+360
8x=360
x=45