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Answer:
x= 10, corresponding
Step-by-step explanation:
Corresponding angles are in the same direction from their respective intersections. Here, the angles are both northwest of the point where the lines cross. The angles are corresponding.
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Corresponding angles are congruent, so we have ...
10x +10 = 110
10x = 100 . . . . . subtract 10
x = 10 . . . . . . . . divide by 10
Let x be the number of weeks; therefore, the two linear equations are

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.
Solving by substitution. Set T=C, then

Thus, substitute the value of x=3 into the first equation,

Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.
I don't know what is the correct answer