Line n intersects lines 1 and m, forming the angles shown in the diagram below. which value of x would prove l parallel to line m?
A. 2.5
B. 4.5
C. 6.25
D. 8.75

B. 4.5

Step-by-step explanation:

(6x + 42)° and (18x - 12)° are alternate interior angles. If line l is parallel to line m, therefore,

6x + 42 = 18x - 12

Solve for the value of x. Combine like terms.

6x - 18x = -42 - 12

-12x = -54

Divide both sides by -12

-12x/-12 = -54/-12

x = 4.5

Therefore, x = 4.5 would prove lines l and m are parallel to each other.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!