The correct answer is:
C. They are similar because the corresponding sides of kites KELY and BRAD all have the relationship 2:1.
Using the distance formula,

the lengths of the sides of BRAD are:

The lengths of the sides of KELY are:

Each side of KELY is twice the length of the corresponding side on BRAD. This makes the ratio of the sides 2:1 and the figures are similar.
Answer:
5(2x - 1)
Step-by-step explanation:
Given
2(x - 6) + 4(2x + 1) + 3 ← distribute both parenthesis
= 2x - 12 + 8x + 4 + 3 ← collect like terms
= (2x + 8x) + (- 12 + 4 + 3)
= 10x + (- 5)
= 10x - 5 ← factor out 5 from each term
= 5(2x - 1) ← in factored form
Answer:
x = -1 and y = -1
Step-by-step explanation:
to solve this equation we say
let
2x-5y=3.......................................... equation 1
4y-x=-3............................................equation 2
from equation 2
4y-x=-3............................................equation 2
4y + 3 = x
i.e
x = 4y + 3 ............................................. equation 3
put x = 4y + 3 in equation 1
2(4y +3) - 5y = 3
8y + 6 -5y = 3
3y +6 = 3
3y= 3-6
3y -3
divide both sides by the coefficient of y which is 3
3y/3 = -3/3
y = -1
put y = -1 into equation 3
x = 4y + 3 ............................................. equation 3
x = 4(-1) + 3
x = -4 + 3
x = -1
therefore the value of x = -1 and y = -1 respectively
V = L * W * H
V = 4 * 4 * 8
V = 16 * 8
V = 128 cubic ft