If two opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram true and false

TRUE

Step-by-step explanation:

The statement is true. A parallelogram is an example of a quadrilateral becomes it has four sides. The two adjacent sides of a parallelogram are known to be parallel to each other.

Two sides of the parallelogram are much longer that the other two adjacent sides. With this, it can be concluded that the quadrilateral described above is a parallelogram.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation: