Answer:
Step-by-step explanation:
A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:
Solving, we will get a in terms of b:
Now we can substitute a for (b+3) into our equation:
Therefore, the length of each side of this polygon is 
.
Since the perimeter of the polygon consists of all five sides, the perimeter is:
Answer:
The greatest common factor of this would be 3x^2y
Step-by-step explanation:
In order to find this, first find the greatest common factor of the coefficients. Since 3 goes in evenly to both 15 and -18, then we know that it is a common factor.
From there we need to find the number of x's. Since the first term only has 2 x's and the second has 3, we take the lowest number. (x^2)
And since the first term has 3 y's and the second has just 1, we take the lowest number (y).
Answer:
If he spins a spinner with 5 equal sections they have equally likely probability of 20%
If he rolls a fair die in the shape of pyramid with 4 sides each side has probability of 25%
If he rolls a fair die in the shape of cube with 6 sides each side has probability of 16.7
Total number of outcomes = 5 * 6 * 4 = 120
Answer:
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is
we have
----> the radius is half the diameter
substitute
step 2
Find the area of a sector
Remember that
The area of the circle subtends a central angle of 360 degrees
so
using proportion
Find out the area of a sector with a central angle of 108 degrees
assume
substitute
1: Identify the angle.
<em>The following angle is a 90.</em>
2: Set up the equation.
<em>x + (3x + 10) = 90</em>
3: Combine like terms.
<em>4x + 10 = 90</em>
4: Solve for x.
<em>4x + 10 = 90</em>
<em> -10 = - 10</em>
<em>--------------------------</em>
<em>4x = 80</em>
<em>------------------</em>
<em>4 4</em>
<em>x = 20</em>
Your answer is x = 20.
Hope this helps! Have a good day/night! c:
