X=15 because 2(15) is 30-5 is 15
Area of the rectangular yard = 96 square feet
Let us assume the length of the yard = x feet
Width of the yard = x - 4 feet
Then
Area of the yard = length * width
96 = x(x - 4)
96 = x^2 - 4x
x^2 - 4x - 96 = 0
x^2 - 12x + 8x - 96 = 0
x(x - 12) +8(x - 12) = 0
(x - 12)(x + 8) = 0
As the value of length cannot be negative so
x - 12 = 0
x = 12
So
Length of the yard = 12 feet
Width of the yard = x - 4 feet
= 12 - 4 feet
= 8 feet
Then
Perimeter of the yard = 2 (length + width)
= 2(12 + 8)
= 2 * 20 feet
= 40 feet.
So the perimeter of the yard is 40 feet.
8x+12y=120
8 packs -> x value
12 packs -> y value
-------------------------------
total amt. of beverages is 120
The correct answer to this question is the last choice (angle B is equal to angle E). When given a question like this, always remember that corresponding angles of congruent triangles are congruent. In simpler terms, the letters that are in the same position in two different congruent triangles are congruent. Therefore, since B is the second letter in ABC and E is the second letter in DEF, we know the last choice is correct.
I hope this helps.
