Answer:
133°
Step-by-step explanation:
As vertically opposite angles are equal,
< B E D = < F E G
Therefore,
< B E D = 47°
We know that co - interior angles which occur between 2 parallel lines, are added up to 180°.
Given that, < A B E = x
Therefore,
< B E D + < A B E = 180 °
47 + x = 180
x = 180 - 47
x = 133°
Let me know if you have any other questions. :)
We are given
Clare is paid $90 for 5 hours of work
Total money paid =$90
total hours of work =5 hours
so, firstly we will find rate of work
rate of work = ( total money paid)/( total hours of work)
now, we can plug values
and we get
The rate of work is

$/ hour
now, we have to find time for amount paid is 25 cents
so, amount paid =25 cents
100 cents =1$
so, amount paid =$ 0.25
Since, the rate is constant
so, we can take same rate here
now, we can use formula
rate of work = ( total money paid)/( total hours of work)
now, we can plug values

now, we can solve for T
hour
since, T is in hours
so, we can change into seconds
1 hour =3600seconds
so, we can plug
seconds
seconds......................Answer
Answer: the service charge per hour for premium services is $5.5
the service charge per hour for regular services is $3
Step-by-step explanation:
Let x represent the service charge per hour for premium services.
Let y represent the service charge per hour for regular services.
One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that
2x + 9y = 38- - - - - - - - - - - 1
Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that
3x + 6y = 34.5- - - - - - - - - - -2
We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes
6x + 27y = 114
6x + 12y = 69
Subtracting, it becomes
15y = 45
y = 45/15
y = 3
Substituting y = 3 into equation 1, it becomes
2x + 9 × 3 = 38
2x + 27 = 38
2x = 38 - 27 = 11
x = 11/2 = 5.5
Answer: 22%, 0.22, 11/50
Step-by-step explanation:
As a percent, 44/200 × 100 =
0.22 × 100
= 22%
As a decimal, divide 44 by 200 using a calculator; 44÷200 = 0.22
As a fraction in the simplest form, 44/200, we find the greatest common factor for the numerator and denominator, which is 4, divide 4 by numerator = 11
Divide 4 by denominator = 50
44/200 as a fraction = 11/50
The answer is y=3+7x i think not sure