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.
Yes he will be able to buy the game that is $50 because:
14.25 + 3.75y + 6.50x = 50
14.25 + 3.75(3) + 6.50(4) = 50
14.25 + 11.25 + 26 = 50
51.50 = 50
Ms Francis would need to rent 6 tables in order to get everyone their own side.
She could have all the children, sitting at their tables, having their own side, but the 6th table just having the two other kids.
Ms Francis shouldn’t be having such a large party in the midst of a pandemic.
Answer:
9 hours, 20 minutes
Step-by-step explanation:
When two ferries work together, they transport a day's cargo in 7 hours
The speed proportion or ratio of larger ferry to smaller ferry is given as 3 : 1
The sum of the ratio = 4 (3 + 1)
This means that it will take the smaller ferry = 7 x 4 hours to work alone = 28 hours, since the larger ferry is faster by 3.
Therefore, when larger ferry works alone, it will take it (7 x 4)/3 = 9.33 hours.
9.33 hours = 9 hours, 20 minutes.
Answer:
D, E
Step-by-step explanation:
All sides are not the same length so not A
Two sides are not the same length so not B
Not all angles are less than 90 so not C
All sides are different length so D
There is a right angle so E
Not all sides are greater than 90 so not F