I am thinking that the quadrilateral is not given to be a rhombus.
The perimeter is the sum of the 4 sides.
Adding 2x^2 + x -1 to 3x^2 -5x and then that sum to 4x^2 gives
9x^2 - 4x - 1 as the sum of the three given sides.
Subtract that from the given perimeter to get the missing side length.
5x^2 + 2x + 1 - (9x^2 -4x -1) =
-4x^2 + 6x + 2
B. 756 cubic feet
C. 824 cubic feet
D. 888 cubic feet
Answer:
888sq. ft
Step-by-step explanation:
Volume of a rectangular prism = length * width * height
For the given diagram
area of the truck = area of the bigger + area of smaller prism
area of the bigger prism = 6 * 9 * 16
area of the bigger prism = 864sq. ft
Area of smaller prism = 2 * 2 * 6
Area of smaller prism = 24 sq. ft
Area of the figure = 864 + 24
Area of the figure = 888sq. ft
Prove: m∠A=72°
Answer:
Step-by-step explanation:
By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property
(6x)° + 90° + (x+6)° = 180°
To solve for x, first combine the terms to get (7x + 96) = 180°
Using the Subtraction property of equality,
7x = 84.
Then using the division property of equality x = 12.
To find the measure of angle A,
Use the subtraction property to get m∠A = 6(12)°.
Finally simplifying the expression gets m∠A = 72°.
x= -66/19
Multiply 2 on both sides:
2*(5x+6)/2=3(4x+12)*2
Simplify:
5x+6=24x+72
Subtract 6 from both sides:
5x+6-6=24x+72-6
Simplify:
5x=24x+66
Subtract 24x from both sides:
5x-24x=24x+66-24x
Simplify:
-19x=66
Divide both sides by -19
-19x/-19=66/-19
Simplify:
x= -66/19
–4
–2
10
16