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Nina [5.8K]
1 year ago
14

prove “if two angles of one triangle are congruent to two angles of a second triangle, the the third angles of the triangles are

congruent”.

Mathematics
1 answer:
arsen [322]1 year ago
3 0

Assume that,

The two angles of one triangle are congruent to two angles of a second triangle.

To prove: The third angles of the triangles are congruent.

Since, two angles of one triangle are congruent to two angles of a second triangle.

Therefore,

\begin{gathered} \angle C=\angle F \\ \angle A=\angle D \end{gathered}

Adding these two we get,

\begin{gathered} \angle C+\angle A=\angle F+\angle D \\ 180-\angle B=180-\angle E\text{  (Using angle sum property of a triangle)} \end{gathered}

Cancelling 180 on both sides, we get

\begin{gathered} \angle B=\angle E \\ \therefore\angle B\cong\angle E \end{gathered}

Hence, if two angles of one triangle are congruent to two angles of a second triangle, the the third angles of the triangles are congruent.

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Step-by-step explanation:

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3 years ago
The number of minutes that Samantha waits to catch the bus is uniformly distributed between 0 and 15 minutes. What is the probab
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Using the uniform distribution, it is found that there is a 0.3 = 30% probability that Samantha has to wait less than 4.5 minutes to catch the bus.

<h3>What is the uniform probability distribution?</h3>

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The probability of finding a value of at lower than x is:

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In this problem, the time is uniformly distributed between 0 and 15 minutes, hence the bounds are a = 0 and b = 15.

The probability that Samantha has to wait less than 4.5 minutes to catch the bus is given by:

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More can be learned about the uniform distribution at brainly.com/question/13889040

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2 years ago
Dominic had $500 in his wallet. He went to the nursery and purchased 8 rose bushes at $22 each, 12 evergreen shrubs at $18 each,
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Answer:

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Step-by-step explanation:

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