Question

Determine the value of x for which rls if A)10 B)0.75 C)1.25 D)20

Answer 1

Answer:

C

Step-by-step explanation:

Since R and S are parallel lines, this means that Angle 1 and Angle 2 must be equivalent because they are corresponding angles. So:

$\angle 1 =\angle 2$

Substitute the equations:

$20-8x=30-16x$

Add 16x to both sides:

$20+8x=30$

Subtract 20 from both sides:

$8x=10$

Divide both sides by 8:

$x=10/8=5/4=1.25$

So, our answer is C.

And we're done!

Answer 2

Answer:

x = 1.25

Step-by-step explanation:

<1 and <2 are corresponding angles and if the lines are parallel,  corresponding angles are equal

<1 = <2

20-8x = 30-16x

Add 16x to each side

20-8x+16x = 30-16x+16x

20 +8x = 30

Subtract 20 from each side

20+8x-20 = 30-20

8x= 10

Divide by 8

8x/8 = 10/8

x = 5/4

x = 1.25