7x+2=23
Move 2 to the other side
7x=23-2
7x=21
To isolate the x divide both sides by 7
x=3
To check plug the value of x back in
7(3)+2=23
21+2=23
23=23
Answer:
the area of the hexagon is approx. 187.1 in²
Step-by-step explanation:
Picture this regular polygon as being a hexagon made up of six equilateral triangles of side 12 in. We find the area of one such triangle and then multiply that by 6 to obtain the total area of the hexagon.
One such equilateral triangle has three sides all of length 12 in, and all the interior angles are 60°. The height of one such triangle is
h = (12 in)sin 60°, or
√3
h = (12 in) -------- = 6√3 in
2
So, with base 12 in and height 6√3 in, the area of one such equilateral triangle is
A = (1/2)(12 in)(6√3 in) = 36√3 in²
and the total area of the hexagon is 6(36)√3 in², or approx. 187.1 in²
Answer:
According what I can read, I have the following statements:



a) Applying properties of limits

b) Applying properties of limits

c) Applying properties of limits

d) Applying properties of limits

e) Applying properties of limits

f) Applying properties of limits

So,
Since this is independent probability, the probability of the event above occurring is:

First, the probability of landing on heads.

Now, the probability of rolling an even number.
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Plug it into the equation.

The correct option is C.
Answer: below in picture
explanation: also in picture