Answer:
650 + 22.50x = 1887.50 x = 55 hours
Step-by-step explanation:
1887.50 - 650 = 1237.5
1237.5 / 22.50 = 55
She needs to work 55 hours to obtain $1887.50 if she already has $650.
Answer:
Explanation:
The statement is expressed as
y
∝
1
x
inverse means
1
variable
To convert to an equation introduce k, the constant of variation.
y
=
k
×
1
x
⇒
y
=
k
x
To find k use the given condition that y = 8 when x = 4
8
=
k
4
⇒
k
=
4
×
8
=
32
⇒
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
32
x
2
2
∣
∣
∣
−−−−−−−−−−−−
x
=
16
→
y
=
32
16
⇒
y
=
2
when
x
=
16
3y is the supplement of 141 so that means 3y+140=180 so y is 13.33. Since they give you 68, 68+13.33+x=180. So 81.33+x=180 and x=98.66.
Answer:
Options (C), (D) and (E)
Step-by-step explanation:
Slope of the given line = 
Any line having same slope will be parallel to the given line otherwise the lines will intersect.
Therefore, we will find the slope of the lines passing through two points given in the options.
Option A
Slope of the line passing through (12, -13) and (15, -12)
m = 
= 
= 
Therefore, both the lines are parallel having no point of intersection.
Option B
Slope = 
= 
Both the lines are parallel having no point of intersection.
Option C
Slope = 
= 
Therefore, both the lines will intersect.
Option D
Slope = 
= 
Both the lines will intersect each other.
Option E
Slope = 
= 
Both the lines will intersect each other at a point.
Options (C), (D) and (E) are the correct options.
I think it proved by the arc intercepting kl making it an interior alternate angle which means it equal to each other