Answer:
D. 12
Step-by-step explanation:
Based on the Angle Bisector theorem, the opposite sides of ∆ABC are divided into proportional segments alongside the two other sides of the triangle, as BD bisects the <ABC. This implies that:
AB/AD = CB/CD
Substitute
AB/8 = 6/4
Cross multiply
AB*4 = 6*8
AB*4 = 48
AB = 48/4
AB = 12
Answer:
960 ft^2
Step-by-step explanation:
There are 9 surfaces forming the solid.
5 of them are congruent squares and 4 of them are congruent triangles.
area of square = (side)^2
area of triangle = (base)(height)/2
total surface area = 5 * area of square + 4 * area of triangle
A = 5 * (12 ft)^2 + 4 * (12 ft * 10 ft)/2
A = 5 * 144 ft^2 + 4 * 60 ft^2
A = 720 ft^2 + 240 ft^2
A = 960 ft^2
Area of square =6*6= 36 cm^2
Area of trapezoid =1/2( base1+base2)*height
base 1=7
base2=21-6=15
height=6
Area of trapezoid =1/2( 7+15)*6= 66
whole area = area of square + area of trapezoid= 36+66=102
Answer 102
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
we have here 2 triangles : the larger, outer shaded one, and the smaller, inner white one.
to get the area of the shaded part, we need to calculate the area of the large triangle and subtract the area of the smaller triangle.
large area :
12 × 15 / 2 = 6 × 15 = 90 ft²
small area :
8 × 10 / 2 = 4 × 10 = 40 ft²
the shaded area is
90 - 40 = 50 ft²
The total price of the vehicle would be $<span>20,150</span>
