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snow_tiger [21]
2 years ago
13

15 A. Really need help!

Mathematics
1 answer:
strojnjashka [21]2 years ago
5 0

Angles DBA and CBE are congruent because they form a vertical pair.

The interior angles of any triangle sum to 180º in measure, so it follows that angles A and E must be congruent.

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Answer:

\large\boxed{t=0\ \vee\ t=\dfrac{1}{4}}

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4t-16t^2=0\qquad\text{divide both sides by 4}\\\\\dfrac{4t}{4}-\dfrac{16t^2}{4}=\dfrac{0}{4}\\\\t-4t^2=0\\\\t(1-4t)=0\iff t=0\ \vee\ 1-4t=0\\\\1-4t=0\qquad\text{subtract 1 from both sides}\\\\-4t=-1\qquad\text{divide both sides by (-4)}\\\\t=\dfrac{1}{4}

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