When to lines intersect they create four angles. Each angle is opposite to another and form a pair of what are called opposite angles. Angles a and c are opposite angles. Opposite angles are equal.
Mid point b/w pair of coordinate (xo ,yo) ,(x1,y1)
X = xo+x1/2
y= yo+y1/2
thus mid point between (-8,-8),(4,8)
X = -8+4/2= -2
y= -8+8/2 = 0
(-2,0) will be the midpoint
To find how much the real estate agent made, we must multiply the two.
Note: It is crucial that you put 7% as a decimal.
Therefore, the real estate agent made $14,742
Hope this helps!
Answer: The length of the shortest piece is 16 inches
The length of the medium piece is
20 inches
The length of the longest piece is 25 inches.
Step-by-step explanation:
Total length of the party sandwich is 61 inches. This length is to be cut into three different pieces.
Let x= the size of the longest piece.
Let y = the size of the medium piece.
Let z = the size of the shortest piece.
The middle piece will be 4 inches longer than the shortest piece. This means that
y = z + 4 - - - - - - 1
The shortest piece will be 9 inches shorter than the longest piece. This means that
x = z +9 - - - - - - -2
Since total length of the party sandwich is 61 inches, it means that
x + y + z = 61 - - - - - - -3
We will substitute equation 1 and equation 2 into equation 3. It becomes
z + 9 + z + 4 + z = 61
13 + 3z = 61
3z = 61 - 13 = 48
z = 48/3 = 16
y = z + 4 = 16 + 4
y = 20
x = z + 9 = 16 + 9
x = 25
The two numbers are 28 and 29.
