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Evgesh-ka [11]
3 years ago
6

Triangle Congruency Proofs: Complete each proof. Remember to MARK THE DIAGRAM

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0

Answer:

<u>Statement </u>          <u>Reason</u>

AC ≅ AR              Given

∠1 ≅ ∠2                Given

∠A ≅ ∠A              Vertical angles

ΔCAT ≅ ΔRAD    ASA postulate

∠1 ≅ ∠2                corresponding parts of congruent triangles are congruent.

Step-by-step explanation:

For the third statement, I'm assuming from the picture that points C, A and D are collinear, and points T, A and R are also collinear.

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The probability of rolling an even number is:

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The probability of rolling a number greater than 3 is:

\begin{gathered} P(B)=\frac{\text{ number of favorable outcomes}}{\text{ total possible outcomes}} \\ P(B)=\frac{3}{6} \\ P(B)=\frac{1}{2} \end{gathered}

Events A and B are independent, then the probability of one happening after the other is:

\begin{gathered} \text{ P(A and B) = }P(A)\cdot P(B) \\ \text{ Substituting with the values previously found:} \\ \text{ P(A and B) = }\frac{1}{2}\cdot\frac{1}{2} \\ \text{ P(A and B) = }\frac{1}{4} \end{gathered}

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1 year ago
When 15 is subtracted from 3 times a number the result is -32. what is the number?
Vilka [71]

Answer:

15.6

Step-by-step explanation:

15+32=47

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since the - is there

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<span>X +Y = 13.1 +  2.2
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answer
</span><span>D. 15.3</span>
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