ANSWER
The midpoint of both diagonals is

EXPLANATION
We can use either diagonals to determine the midpoint.
We use the midpoint formula

Let us use the first diagonals H(-2,2) and J(4,-2)



Using the second diagonals also gives,


Assuming it is a rectangular room it would be a perimeter of 151ft.
And the area would be 2844ft
Hope this helps!
Answer:
The maximum amount of time is 48.2 minutes
Step-by-step explanation:
We can use the equation for a line
y = mx+b
the inital value is 75 gallons ( that is b)
the slope is 2.5 gallons (that is m)
We know that we want to fill it to 195.5 gallons ( that would be y)
195.5 = 2.5x +75
We are going to solve for x (that is the number of minutes)
Subtract 75 from each side
195.5-75 = 2.5x +75-75
120.5 = 2.5x
Divide by 2.5 on each side
120.5/2.5 = 2.5x/2.5
48.2 =x
The maximum amount of time is 48.2 minutes
Answer:
The puck traveled 53.8 meters.
Step-by-step explanation:
Currently, the player is 55 meters away from the opponent's goal.
After the shot, the puck is 120 centimeters = 1.2 meters from the opponents goal.
So, this means that the puck traveled 55 - 1.2 = 53.8 meters.
Answer:
The correct option is;
The sum of angles A and B are supplementary to angle C
Step-by-step explanation:
The statements are analysed as follows
1. Angle A is congruent to itself reflective property
Which shows that ΔABC and ΔADE have a common and equal angle
2. Segment ED and CB are parallel
From the transversal line passing EB and CB which shows that the angles ∠ADE and ∠ABC are equal and also ∠AED and ∠ACB are equal
The statement is used to prove similarity between the ΔABC and ΔADE
3. The sum of angles A and B are supplementary to angle C
The above statements relates to only ΔABC and i does not show similarity between ΔABC and ΔADE.