10th grade math will give a brainlest for right answer what value of x will make parallelogram abcd a rhombus? x=

The value of x=34 will make parallelogram ABCD a rhombus.

Step-by-step explanation:

Given a parallelogram ABCD where AC and BD are diagonal intersecting at E such that ∠AEB=(3x-12)°(1)

To make it rhombus ∠AEB should be 90° (∵ diagonals of rhombus are perpendicular bisector of each other)

Substitute ∠AEB =90° in (1) we get

(3x-12)°=90°

⇒3x-12=90

⇒3x=90+12[adding 12 on both sides]

⇒3x=102

Dividing 3 from both sides, we get

⇒x=34

Therefore ,the value of x =34 will make parallelogram ABCD a rhombus.

answer: given that the roller coaster can accommodate 1600 riders per hour, thus the roller coaster can accomodate 1600 / 60 = 26.67 riders per minute.

given that there are 345 people in the line, the number of minutes it will take for the 345 persons to get into the roller coaster is given by 345 / 26.67 = 12.94 minutes.

therefore, it will take you 12.94 minutes to get to the front of the line.

step-by-step explanation: