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Alexandra [31]
3 years ago
5

Prove that ΔABC and ΔEDC are similar. triangles ABC and DEC where angles A and E are right angles, AC equals 4, AB equals 3, BC

equals 5, DC equals 15, DE equals 9, and CE equals 12 15 over 4 equals 12 over 5 equals 9 over 3 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SAS Similarity Postulate. ∠E and ∠A are right angles; therefore, these angles are congruent since all right angles are congruent. 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SSS Similarity Postulate. ∠E and ∠A are right angles; therefore, these angles are congruent since all right angles are congruent. 12 over 4 equals 9 over 3 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SAS Similarity Postulate. ∠DCE is congruent to ∠BCA by the Vertical Angles Theorem and 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SSS Similarity
Mathematics
1 answer:
nikklg [1K]3 years ago
3 0

Answer:B

Step-by-step explanation:

4E and LA are right angles; therefore, these angles are congruent since all right

angles are congruent. Is - 15 over 5 and 12 over 4shows the corresponding sides are proportional;

therefore, ABC ~ AEDC by the SSS Similarity Postulate.

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prohojiy [21]

Answer:  x=6

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10 & 12 would be supplementary to one another because they would add up to 180°.

Step-by-step explanation:

We know that on both 10 & 12 the angles add up to equal 90° so...

10.  8x+7x=90

15x=90

x=6

12.  it's the same in pic as 10

The two angles shown in each are complementary because they add up to 90°.

10 & 12 would be supplementary to one another because they would add up to 180°.

5 0
3 years ago
A softball player made a hit 34 times in the last 170 times at bat . Find the probability that the softball player will get a hi
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Answer:

1/5

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6 0
3 years ago
May someone assist me?
raketka [301]

Answer:

<h2><u><em>15 is the answer.</em></u></h2>

Step-by-step explanation:

The side lengths are equal - supposedly

30                          25

?                              ?

25 + ? = 45

-25        - 25

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Hope this helps,

Kavitha

3 0
4 years ago
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KATRIN_1 [288]
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6 0
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Set up the two events
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B = second card is a 9

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because there are four "9" cards out of 52 total

If event A happens first, and B follows, then the probability is
P(B|A) = 3/51
because there are 3 nines left over out of 52-1 = 51 total left over
No replacement has been made
The notation P(B|A) means "probability of event B given that event A has happened"

Multiply the probabilities
P(A and B) = P(A)*P(B|A)
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Rounded to 4 decimal places, the approximate answer is 0.0045
The exact answer as a fraction is 1/221
7 0
3 years ago
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