Note that: (10x - 61) & (x + 10) are supplementary angles, and (10x-61) & (18y + 5) are vertical angles
10x - 61 + x + 10 = 180
Simplify
11x - 51 = 180
Isolate the x
11x - 51 (+51) = 180 (+51)
11x = 231
Divide 11 from both sides
11x/11 = 231/11
Divide
x = 21
180 = 18y + 5 + x + 10
180 = 18y + 5 + (21) + 10
Simplify
180 = 18y + 36
Subtract 36 from both sides
180 (-36) = 18y + 36 (-36)
144 = 18y
Divide 18 from both sides
144/18 = 18y/18
y = 144/18
y = 8
x = 21, y = 8 are your answers
hope this helps
Point estimate proportion is the average of lower and upper interval limit.
Point estimate proportion )p) = x/n
Where x = observations, n=sample size
Substituting;
p= 40/493 = 0.0811
Answer:
So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.
Step-by-step explanation:
The height h of the ball is modeled by the following equation

The problem want you to find the times the ball will be 48 feet above the ground.
It is going to be when:





We can simplify by 16t. So

It means that
16t = 0
t = 0
or
t - 2 = 0
t = 2
So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.
Answer:
the installation fee is $104.40
Step-by-step explanation:
(13-0.25x4)(12+4x4)=2,464
(13-0.25x5)(12+4x5)=3,845
(13-0.25x6)(12+4x6)=2,845
so your answer is 3,845 because if Hirome sells them for $11.75 he makes $3845 if Hirome sold them for $11.50 he makes $2845.80 and if he sold them for $12.00 he would make $2464.00