A) Angle A has to be congruent to Angle D
The angle x is half the sum of the intercepted arcs, PQ and NO.
... (1/2)(65° + 45°) = 55° = x° = m∠PMQ
Answer:
y = -5/6x + 6
Step-by-step explanation:
Slope intercept form is: y = mx + b
- where m is the slope
- where b is the y-intercept.
The problem already gives you the slope and y-intercept, so all you have to do is put it in for m and b respectively. Therefore, we have:
y = -5/6x + 6
Answer:
12.5% increase OR 112.5% Percentage of Change
Step-by-step explanation:
For this problem consider that our original maximum value is 96 square feet, but our new maximum value is 108 square feet. So to find the change as a percentage (in this case the increase) use the following formula:
Percentage of Change = ( New Maximum / Old Maximum ) * 100
So, let's use this formula to find the percentage change of the room.
Percentage of Change = ( 108 / 96 ) * 100
Percentage of Change = (1.125) * 100
Percentage of Change = 112.5
So the percentage of Change is 112.5%. Note, the old maximum is the point of comparison which is 100%.
So to find the increase, we will do 112.5% - 100% to get 12.5%. Hence, we have a 12.5% increase of a 108 square foot room compared to a room of 96 square feet.
Cheers.