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:
The coordinate of point B is (4, 8.25)
Step-by-step explanation:
Here, we want to find the coordinates of point B
To do this, we are to use the section internal division formula as follows;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
In this case;
(x1,y1) = (2,6)
(x2,y2) = (5,9)
(m,n) = (3,1)
Substituting these values into the section formula, we have;
(x,y) = (1(1) + 3(5))/(1 + 3) , (1(6) + 3(9))/3 + 1)
(x,y) = (16/4, 33/4)
(x,y) = (4,8.25)
Answer:
Step-by-step explanation:
C * D = {(x,y): x is an element of C and y is an element of D.}
C * D = { (1,4), (1,5), (1,6), (2,4), (2,5), (2,6) }