Answer:
x = 7
Step-by-step explanation:
See the attached figure.
As shown: A C D F is a trapezoid and BE is a mid-segment.
The mid-segment of the trapezoid is the average of its bases.
BE = 0.5 ( A F + C D)
Given: CD = 18 , BE = 2x + 10 and A F = 6x - 12
So,
2x + 10 = 0.5 ( 18 + 6x - 12)
Solve for x
2x + 10 = 0.5 (6 + 6x)
2x + 10 = 3 + 3x
10 - 3 = 3x - 2x
∴ x = 7
<u>So, the value of x is 7</u>
Answer:
Commutative Property
Step-by-step explanation:
The property of multiplication that is being demonstrated is known as Commutative Property. This property basically shows that when multiplying two numbers the actual order in which they are multiplied does not matter and does not affect the result at all. For example, the in this scenario to get the total number of oranges we have to multiply the number of bags by the number of oranges in each bag, but whatever way we do this they equal the same
2 bags * 3 oranges per bag = 6 oranges
3 bags * 2 oranges per bag = 6 oranges
Therefore,
2 * 3 = 3 * 2
A point (a, b) in the second Quadrant, is any point where a is negative and b is positive.
For example (-3, 5), (-189, 14) etc are all points in the 2.Quadrant
Rotating a point P(x, y) in the second Quadrant 180° counterclockwise, means rotating 180° counterclockwise about the origin, which maps point P to P'(-a, -b) in the fourth Quadrant.
Answer:
16 apples, 20 pears
Step-by-step explanation:
36+4=40
So 40/2= 20 or an even amount of both apples and pears
20-4= 16 ~Original amount of apples
36-16=20 ~Amount of pears
Use substitution.
anywhere you see "a" , than you would plug in b + 2 in for it so....
(b - (b + 2)^4
now take the negative sign and distribute it "+"
so b - b is 0, than 0 - (-2) is -2.
so what is (-2)^4 ????? it would become positive 16
