Answer:

Step-by-step explanation:
Given
Kano = 45;
Kwara = 410;
Ogun = 105;
Ondo = 126;
Oyo = 154
Total Distribution = 840
Required
Determine the angle subtended by Ondo (in a pie chart)
The general formula to calculate subtended angle in a Pie chart is;

In this case of Ondo
Frequency = 126
Total Frequency = Total Distribution = 840
Substitute these values in the given formula;




<em>Hence, the angle subtended by Ondo is 54</em>
Answer:
x = - 
Step-by-step explanation:
the equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
The radius of a unit circle is r = 1
substitute (x, -
) into the equation and solve for x
x² + (-
)² = 1²
x² +
= 1 ( subtract
from both sides )
x² = 1 -
=
( take square root of both sides )
x = ±
= ± 
since the point is in the 3rd quadrant then x < 0
x = - 
Answer:
The simplified expression for the given expression will be:
c. 
Step-by-step explanation:
Given expression:

To simplify the expression.
Solution:
In order to simplify the expression, we will first remove the parenthesis by reversing the signs of the terms inside the parenthesis which lies after a negative sign out side the parenthesis.
<em>This is because negative multiplies to a negative to give a positive and negative multiplies to a positive to give a negative.</em>
So, we have:
⇒ 
Combining like terms
⇒ 
<em>The like terms can be evaluated as</em>


Thus, the simplified expression will be:
⇒ 
Answer:
50°
Step-by-step explanation:
Transformation is the movement of one point from its initial location to a final location. If an object is transformed, all its points are transformed. Types of transformation is reflection, dilation, rotation and translation.
If an object is translated, it maintains its shape and size as well as the length of its sides and angles, only the location changes.
If polygon LMNP with ∠M of 50° is translated 5 units right and 4 units down to a new point, M' has the same angle measure. Hence ∠M' = 50°
Answer:
1,000,000
Step-by-step explanation:
10^3*10^3