The measure of x in both parts is: 120°
Step-by-step explanation:
Part A:
We can clearly see that the figure in part a has six equal sides. So the given figure is a hexagon.
A hexagon has six equal sides in six equal interior angles.
Sum of interior angles of hexagon is 720°
So,

Part B:
The figure is a Dodecagon with 12 sides.
The Dodecagon has 12 equal sides and angles.
The sum of internal angles of Dodecagon is 1440°
So,

The measure of x in both parts is: 120°
Keywords: Polygons, Hexagon
Learn more about polygons at:
#LearnwithBrainly
<span>the line over the 28 means the 28 repeats forever.
1.282828.... and so on
let x be the rational number 1.28...
we can use this trick:
100*1.282828....= 128.282828... (the decimal 28 part repeats)
100x = 128.28...
next:
100x - x = 128.282828... - 1.282828...
the .282828... part will be subtracted away
99x = 127
divide both sides by 99 to get
x= 127/99</span>
The experimental probability of rolling a 6 is 9/60 which can be determined by dividing the frequency of the observation 6 with the total frequency of the experiment.
<u>Step-by-step explanation:</u>
Experimental probability is different from theoretical probability because the former is obtained by experimentation while the latter is what we expect theoretically.When we take a number of observations, the experimental probability and theoretical probability need not be the same.
In this question we have to determine the experimental probability of 6. It can be determined by dividing the frequency of the observation 6 by the total frequency of the experiment.
frequency of 6=9
total frequency=frequency of 1+frequency of 2+frequency of 3+frequency of 4+frequency of 5+frequency of 6
=13+11+9+8+10+9
=60
P(6)=frequency of 6/total frequency
=9/60
5(x - 3) + 6 = 5x - 9 has no solution
<em><u>Solution:</u></em>
We have to find the number of solutions for the given equation
Given equation is:
5(x - 3) + 6 = 5x - 9
Multiply the terms inside with bracket with constant outside the bracket
5x - 15 + 6 = 5x - 9
Add the constants in left hand side of equation
5x - 9 = 5x - 9
If the coefficients are the same on both sides, then the sides will not equal, therefore no solutions will occur.
Here, 5x - 9 = 5x - 9
The coefficients are same in both sides of equation
Therefore, the equation has no solution