Here are a ton of correct answers. I got a few questions wrong but they still show the correct answer.
The probability that the letters CO remain next to each other (in order) as a unit is
.
<h3>
What is probability?</h3>
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. It is more likely that an event will occur if its probability is higher.
When the letters are arranged randomly in a row, the total number of arrangements is 40,320 , and the number of arrangements with the letters CO next to each other (in order) as a unit is 5,040.
Therefore, possible outcomes = 5040 and
Total outcomes = 40320
Probability = 
p = 
Therefore, the probability that the letters CO remain next to each other (in order) as a unit is
.
To learn more about probability with the given link
brainly.com/question/11234923
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The first hexagon: 2, 2, 3, 4, 6, 7
The second hexagon: 3, 3, a, b, c, d
The hexagons are similar. Therefore the sides are in proportion.
<em>multiply both sides by 3</em>

<em>multiply both sides by 4</em>

<em>multiply both sides by 6</em>

<em>multiply both sides by 7</em>

The perimeter:

x = smaller angle
x+36 = larger angle, since its 36 degrees more than the smaller angle
The two angles x and x+36 must add to 180 if they are to be supplementary (aka form a straight line)
So this means we can say the following:
(smaller)+(larger) = 180
(x) + (x+36) = 180
2x+36 = 180
2x = 180-36
2x = 144
x = 144/2
x = 72 is the smaller angle
x+36 = 72+36 = 108 is the larger angle
As a check:
smaller+larger = 72+108 = 180
which shows they are supplementary and it confirms our answers