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4 years ago

10

Explain how to determine if two figures are congruent.

2 answers:

nikdorinn [45]4 years ago

6 0

One way is to trace around one of the triangles and place it over the other. If<span> the angles and sides match exactly, then the </span>two<span> are </span>congruent<span>. But there is another way to </span>tell<span>. </span>If two<span> triangles have </span>congruent<span> corresponding parts, then the triangles are </span>congruent<span> triangles.
</span>

Katarina [22]4 years ago

4 0

Answer:

Congruent shapes must have the same shape and size. To determine if two figures are congruent, measure all of their angles and side lengths. If each pair of corresponding angles and sides have the same measure, then the figures are congruent.

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Step-by-step explanation:

The probability of an event <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

The conditional probability of an event <em>A</em> given that another event <em>B</em> has already occurred is:

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

Denote the events as follows:

P = a student passes the test

F = a student fails the test

X = a student completes the assignment

Y = a student does not completes the assignment

From the information provided the summary table is as follows:

P F Total

X <u>15</u> <u>4</u> 19

Y <u>2</u> <u>6</u> <u>8</u>

Total 17 <u>10</u> 27

Compute the probability that a student completed the assignment and failed the test as follows:

$P(X\cap F)=\frac{n (X\cap F)}{N}=\frac{4}{27}$

Compute the probability that a student completed the assignment as follows:

$P(X)=\farc{19}{27}$

Compute the probability that a student failing the test given that the student completed the assignment as follows:

$P(F|X)=\frac{P(X\cap F)}{P(X)}=\frac{4/27}{19/27}=\frac{4}{19}=0.21053\approx 0.211$

Thus, the probability that a student who completed the homework failed the test is 0.211.

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3 years ago