Answer:
When you rotate the regular pentagon \begin{align*}72^\circ\end{align*} about its center, it will look exactly the same. This is because the regular pentagon has rotation symmetry, and \begin{align*}72^\circ\end{align*} is the minimum number of degrees you can rotate the pentagon in order to carry it onto itself.
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
The problem above can be solved by using the <em>multiplication operation</em>.
Given: 400 people
8% of the people with green eyes
Let's solve:
Let x be<em><u> the number of people with green eyes.</u></em>
x = 400 x 8%
x = 400 x (0.08)
x = 32
So, the number of people surveyed with green eyes is 32. The rest of the surveyed people (368) have a different eye color.
Answer:
Answer:
Length of leg of triangle =
Step-by-step explanation:
We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.
Let us assume the following labeling of the diagram, as attached in the answer area.
The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.
i.e. The sides XY and YZ will be equal.
Let XY = YZ = x cm
It is known that in a right angled triangle, pythagorean theorem holds well.
As per pythagoream theorem:
Putting the values:
So, the length of leg of triangle =
Step-by-step explanation:
Answer:
The value of BEF = 36°
Step-by-step explanation:
Given:
Angle AED = 90°
Angle BEF = 3x°
Angle CEF = 54°
Find;
The value of BEF
Computation:
We know that;
Angle AED = Angle BEC (Vertical opposite angle)
So,
Angle AED = Angle Angle BEF + Angle CEF
90 = 3x + 54
3x = 90 - 54
3x = 36
x = 36 / 3
x = 12
The value of BEF = 3x
The value of BEF = 3(12)
The value of BEF = 36°
Answer:
6x²
Step-by-step explanation:
