Answer:
The length of each side of the pentagon is 8.3 cm
Step-by-step explanation:
we know that
A regular pentagon has five equal sides
The perimeter of a regular pentagon is equal to
![P=5x](https://tex.z-dn.net/?f=P%3D5x)
where
x is the length side of each side
we have
![P=41.5\ cm](https://tex.z-dn.net/?f=P%3D41.5%5C%20cm)
substitute
![41.5=5x](https://tex.z-dn.net/?f=41.5%3D5x)
Solve for x
Divide by 5 both sides
![x=41.5/5](https://tex.z-dn.net/?f=x%3D41.5%2F5)
![x=8.3\ cm](https://tex.z-dn.net/?f=x%3D8.3%5C%20cm)
Answer:
(x+9)(x+4)
Step-by-step explanation:
We wish to factor x²+13x+36 into the form of (x+p)(x+q) where p+q=13 and pq=36.
Factors of 36: 1, 2, 3, 4, 6, 9, 12. 18, 36
Notice that 9+4=13 as 9*4=36, which satisfies the values of p and q
This means x²+13x+36 can be factored into (x+9)(x+4)
Answer:
-3.2
Step-by-step explanation:
Answer/Step-by-step explanation:
x + 74° + 20° = 180° (sum of interior angles of a triangle)
x + 94° = 180°
x = 180° - 94° (subtraction property of equality)
x = 86°
y = 74° + 20° (exterior angle theorem of a triangle)
y = 94°
y + z + 32° = 180° (sum of interior angles of a ∆)
Plug in the value of y
94 + z + 32 = 180
z + 126 = 180
z = 180 - 126
z = 54°
Answer:
20,250
Step-by-step explanation:
To find certain percentage of a number, we first convert the percentage into decimal and then multiply that decimal with the number.
<u>Converting Percentage to Decimal Rule:</u>
- Divide the percentage by 100
So, 30% would become:
30/100 = 0.3
Now, we multiply:
0.3 * 67,500 = 20,250