Answer:
x = 2
Step-by-step explanation:
AB is given as 3(3x-1) multiply inside the parenthesis with 3
AB = 9x - 3
AC is given as 5(2x+2) multiply inside the parenthesis with 5
AC = 10x + 10
if B is midpoint of AC then AB = BC and AC = AB + BC if we write this equation using the given values
9x - 3 + 9x - 3 = 10x + 10 add like terms
18x - 6 = 10x + 10 transfer like terms to the same side of the equation
18x - 10x = 10 + 6
8x = 16 divide both sides by 8
x = 2 replace x with 2 in given expressions to find the value of each component
The shaded region is a parallelogram.
The formula for the area of any parallelogram is

.
The base of the parallelogram is 2 meters long (given).
The height of the parallelogram is 9 meters (do not be fooled by the unnecessary information of 14 meters)
The height is 9 meters because the height has to be perpendicular to the base. Thus, the side length must be 9 meters.
Multiply them together.

The area of the parallelogram is 18 square meters.
192 in2
The formula for surface area is 2(lw + wh + hl) = 2(2*8 + 12*8 + 12*2) = 2(16+56+24) = 2(96) = 192
Answer:
49 kilometers
Step-by-step explanation:
Since he cycles 1 km for each trip, he will have cycled 21 km after 21 trips.
Add this to his existing amount of km:
28 + 21
= 49
So, he will have cycled a total of 49 kilometers
The first option, the option you selected, and the last option.
An adjacent angle means an angle that shares the same vertex (“center” point) and side.
Hope this helped :)