87 square units hope that this helped
The inside angle for B, which is labeled x is the same as the outside angle of D which is labeled as 72, so we know x = 72.
In a parallelogram two angles next to each other equal 180, so angle A and angle B equal 180.
We know B = 72, so A = 180-72 = 108
Angle A is divided in 2 by angle y, so y = 108/2 = 54
Answers: x = 72
Y = 54
Answer:
The amount Trevor's family pay per minute on shower water is $0.005.
Step-by-step explanation:
The cost of water is,
Cost = $0.20/liter
Amount of water used over the entire month:
Amount of water used = 72 liters
Compute the total water cost as follows:
Total water cost = Amount of water used × Cost
= 72 × 0.20
= $14.4/liter
The average number of minutes each person showered is:
Average number of minutes = 480 minutes.
The number of people in Trevor's house:
N = 6
Compute the total amount of time the 6 person showered as follows:
Total amount of time = Average number of minutes × N
= 480 × 6
= 2880 minutes
Compute the pay per minute on shower water as follows:
Pay per minute on water = Total water cost ÷ Total amount of time
= $14.4 ÷ 2880
= $0.005
Thus, the amount Trevor's family pay per minute on shower water is $0.005.
Answer:
k can either be
12
or
−
12
.
Step-by-step explanation:
Consider the equation
0=x2+4x+4
. We can solve this by factoring as a perfect square trinomial, so
0=(x+2)2→x=−2 and−2
. Hence, there will be two identical solutions.
The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have
2 equal, or 1
distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:
k2−(4×1×36)=0
k2−144=0
(k+12)(k−12)=0
k=±12
