Answer:
Length: 5 ft; width: 4 ft.
Step-by-step explanation:
A = LW formula for area of rectangle
(2x + 1)(2x) = 20 substitute length, width, and area into formula
4x² + 2x - 20 = 0 use the distributive property to multiply out left side
2x² + x - 10 = 0 divide both sides of equation by 2
(2x + 5)(x - 2) = 0 factor out trinomial
2x + 5 = 0 or x - 2 = 0 use zero product rule to solve for x
2x = -5 or x = 2 subtract 5 from both sides; add 2 to both sides
x = -5/2 or x = 2
We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.
Length: 2x + 1 = 2(2) + 1 = 5
Width: 2x = 2(2) = 4
Length: 5 ft; width: 4 ft.
Answer:
The answer you chose is correct
Step-by-step explanation:
Answer:
Alternate Interior Angles
Step-by-step explanation:
The angles are on opposite sides of the transversal and are in between the parallel lines. This means they are alternate Interior Angles. Additionally, this means they are congruent, so 15x=12x+15, which gives us x=5, and the measurements of the angles are 75° each.
Answer:
The reasonings I provided are just examples (they are true, though!). Hope this helps!
