By the general application of cumulative property of addition :
x + y = y + x
For sure
BD = 2x-4
But it's also BE - CE + CD
BE is 3x-1
CE is 2x-3
CD is 2
so
BD = 3x-1 -(2x-3) +2
simplified
BD = 1x +4
since BD = BD (obviously), we can also say that the righthand sides of the two equation must be equal
2x -4 = 1x +4
let's solve for x and that put it into either of the 2 equations.
2x -4 = 1x +4
subtract 1x on both sides
x -4 = 4
add 4 on both sides
x = 8
substitute x for its value in 2x -4 = 1x +4
(this way we double check BD in two expressions at once. the equation should come out true, meaning same value for BD in each expression. both sides should be equal).
2*8 -4 = 1*8 +4
12 = 12
seems true
BD is safely 12
Answer:
x=-5
Step-by-step explanation:
25 - 3x = 40
-3x + 25 =40
-3x +25--25=40-25
-3x=15
-3x÷-3=25÷-3
x=-5
Answer:
80
Step-by-step explanation:
because 8 is in tens place
so it´s value is 8*10=80
Answer:
The correct option is (D).
Step-by-step explanation:
A quadrilateral is a parallelogram if the following conditions are met:
- If two pairs of opposites are equal in length.
- If two opposite sides are parallel to each other and are equal.
- If the diagonals bisect each other in equal halves.
So, for a parallelogram the opposite sides are equivalent in length.
From the provided length of 4 sides of a quadrilateral, consider the sides provided by option D.
4, 9, 9, 4
Two sides are of length 4 units and two of 9 units.
According to condition 1, the sides {4, 9, 9, 4} can form a parallelogram.
Thus, the correct option is (D).
