Answer:
The first one is by using your mind. If you know that factorial of any non negative integer denoted by n!
defined as
n!=n(n−1)(n−2)⋯3⋅2⋅1
then 5!=5∗4∗3∗2∗1. You can calculate it in your mind which will give you 5!=120.
That's it.
The next method is using your calculator. In my calculator Casio fx-991es, I pressed 5 and then shift+x−1
button and I got 120. Similarly, you can use Google to calculate it like I did and got this.
Step-by-step explanation:
Answer:
x = 74
Step-by-step explanation:
If you add all the angles in the diagram, you will get 360 degrees (since it's a complete revolution, and one revolution = 360 degrees).
Form an equation in x with this information:
4x+1+x-35+24 = 360
5x -10 = 360
5x = 370
x = 74
we know that
The measurement of the external angle is the semi-difference of the arcs it comprises.
so
Step 
<u>Find the measure of the arc AJ</u>
m∠BDE=![\frac{1}{2} *[measure\ arc\ AJ-measure\ arc\ BE]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2A%5Bmeasure%5C%20arc%5C%20AJ-measure%5C%20arc%5C%20BE%5D)
in this problem we have
m∠BDE=
substitute in the formula
=![\frac{1}{2} *[measure\ arc\ AJ-38\°]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2A%5Bmeasure%5C%20arc%5C%20AJ-38%5C%C2%B0%5D)
=![[measure\ arc\ AJ-38\°]](https://tex.z-dn.net/?f=%5Bmeasure%5C%20arc%5C%20AJ-38%5C%C2%B0%5D)
Step 
<u>Find the measure of the arc FH</u>
m∠FGH=![\frac{1}{2} *[measure\ arc\ AJ-measure\ arc\ FH]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2A%5Bmeasure%5C%20arc%5C%20AJ-measure%5C%20arc%5C%20FH%5D)
in this problem we have
m∠FGH=
substitute in the formula
=![\frac{1}{2} *[112\°-measure\ arc\ FH]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2A%5B112%5C%C2%B0-measure%5C%20arc%5C%20FH%5D)
=![[112\°-measure\ arc\ FH]](https://tex.z-dn.net/?f=%5B112%5C%C2%B0-measure%5C%20arc%5C%20FH%5D)
therefore
<u>the answer is</u>
the measure of the arc FH is 
<span>Every hexagons tessellates. Hexagons always tessellates when perfectly combined and aligned especially when the x sides and the y sides are parallel to each other. An example of tessellating hexagons is bee hive. Bee hives have perfect tessellating hexagons.</span>
Answer:
6 and 7
Step-by-step explanation:
