Lines j and k are parallel. They are intersected by the transversals, l and m.

The value of x is 72°

Parallel lines are lines in the same plane and of the the same distance.

The parallel line j and k are intersected by the transversals l and m.

Therefore, corresponding angles, alternate angles etc. can be formed.

Since the pair of parallel lines are cut by the transversal lines then the alternate exterior angles are congruent . Therefore,

x = ∠72°

∠x ≅ ∠72°(alternate exterior angles)

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72

Step-by-step explanation:

72 and the angle to the top right of x are corresponding angles. This means they are the same. Using this, we can see that the same angle to the top right of x that we now know is 72 is also vertical to x. Vertical angles are also equal, so x = 72

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x