Beverly has decided to quadruple the amount of time she spends studying each night. If the data set that represents the number of minutes she had
previously spent studying each night is 30, 20, 25, 45, 10, 0, 60, which of these
data sets represents the number of minutes she will now spend studying?

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the transitive property of equality.

step-by-step explanation:

the correct answer is:

the transitive property of equality.

explanation:

we know that  ∠bcd is congruent to  ∠pbc. we also know that  ∠pbc is congruent to  ∠bad.

we can substitute  ∠bad for  ∠pbc in the first angle congruence statement to give us:

∠bcd is congruent to  ∠bad.

algebraically, the transitive property states if a=b and b=c, then a=c. it basically allows us to substitute equal values. since that is what we did, this is the transitive property.

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