Answer:
a. 26 units²
Step-by-step explanation:
The x-axis conveniently divides the figure into a triangle (above the x-axis) and a trapezoid (below the x-axis).
The top triangle has a base of 4 and a height of 3, so its area is ...
triangle area = (1/2)(4 units)(3 units) = 6 units²
The bottom trapezoid has a top base of 4, a bottom base of 6, and a height of 4 units. Its area is ...
trapezoid area = (1/2)(b1 +b2)h = (1/2)(4 units + 6 units)(4 units) = 20 units²
The total area of the figure is ...
area = triangle area + trapezoid area = 6 units² + 20 units² = 26 units²
Euler's formula for Vertices, Edges and faces is V-E+F = 2
Replace the letters with the given information and solve for the missing one.
From the problem V ( Vertices) = 11 and F (faces) = 15.
11 - E + 15 = 2
11 + 15 = 26
26 - E = 2
E = 26-2
E = 24
The answer is b. 24
The correct answer is: x=9
4(1-x)+2=-3(x+1 )
-4x +3x = -3 -6
-x=-9
x=9
