Two parallel lines are crossed by a transversal. What is the value of k? k = 9 k = 20 k = 60 k = 71

nevermind, i got the answer. K=60

your question seems missing the figure.

I am attaching the required figure below.

You can study the correct answer to your question and complete explanation with the figure  below.

k=60

Step-by-step explanation:

When a pair of parallel lines is crossed by a transversal, it will make 8 angles, pairs of vertical/opposite angles, two pairs of acute angles and two pairs of obtuse angles. All acute angles are congruent as well as all obtuse angles are congruent. Simply we can say that pairs of acute angles and pairs of obtuse angles are congruent.  

From the figure attached below (by the name "Pairs of parallel lines crossed by a transversal"), we get the following equations as:

2k+11=131

Solving for k, we get

2k=131-11

2k=120

k=120/2

k=60

Step-by-step explanation:

Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles

Lucy shares 1/3 with Carol and keeps 1/4 for herself.

This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.

C = 1/3x

L = 1/4x

We are also told that Carol has 7 more marbles than Lucy

C = L + 7

Since C = 1/3x  and L = 1/4x you can sub these into the above equation and you get:

1/3x = 1/4x + 7

Subtract 1/4x from both sides

1/3x - 1/4x = 7

1/12x = 7

Multiply both sides by 12 to find x.

x = 7 times 12 = 84 (Total amount of marbles = 84)

Amrita gets the remaining number of marbles.

A = x - C - L

A = 84 - 1/3 (84) - 1/4 (84)

A = 35