I think your teacher may have made a typo. Refer to the diagram below. If we ignore segment ZA for now, we can see a rectangle forms with angle W = angle Y = 90. Also, we can see that WX = 6 is the horizontal base and WZ = 8 is the vertical height.

However, the side opposite WZ (which is XY) should also be 8 cm tall, and not 6 cm. If XY was 6 cm, then point Y would move to where point A is located (and the quadrilateral would be WXAZ instead of WXYZ). This new quadrilateral would not have a 90 degree angle at point Y's new location.

In other words, if we want angle Y to be 90 degrees, then side XY must be 8 units long. I have a feeling this is where the typo is, but your teacher might have been intending to say something else.

7 0

2 years ago

Read 2 more answers

A second number is 6 less than a first number. A third number is twice the first number. If the sum of three number is 306, find

Serga [27]

Answer:

first number = 78

second number = 72

third number = 156

Step-by-step explanation:

first number = a

second number = b

third number = c

we have

b=a-6 equation 1

c=2a equation 2

a+b+c=306 equation 3

using equation 1 and equation 2 in equation 3 we have

a+a-6+2a=306

4a=306+6

4a=312

a=312/4

a=78= first number

b=78-6=72=second number

c=2*(78)=156 third number

3 0

2 years ago