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stiks02 [169]
3 years ago
8

Match the following items.

Mathematics
2 answers:
charle [14.2K]3 years ago
6 0

Answer:

I just did this lesson; this answers are right.


1: Given                  1: ∠1 = ∠2, ∠3 = ∠4, D is midpoint of segment BE, BC = DE

2: BD = DE         2: Definition of midpoint

3: BC = BD        3: Substitution

4: Triangle ABD congruent to Triangle EBC 4: ASA

5: ∠A = ∠E                                                               5:  CPCTE  


 

           

Step-by-step explanation:


victus00 [196]3 years ago
5 0

Answer:

1. Given

2. Definition of midpoint

3. Substitution

4. ASA

5. CPCTE

Step-by-step explanation:

1. ∠1 = ∠2, ∠3 = ∠4, D is midpoint of segment BE, BC = DE is given (given).

2. BD = DE, because D is midpoint of BE (definition of midpoint).

3. BC = BD, because you are given that BC = DE and DE = BD, then substitute instead of DE into the first equation segment BD to get BC = BD (substitution).

4. ΔABD≅ΔEBC, because

  • BD ≅ BC;
  • ∠1≅∠2;
  • ∠3≅∠4,

then by ASA theorem ΔABD≅ΔEBC (ASA theorem).

4. Congruent triangles have congruent corresponding parts, then ∠A≅∠E (CPCTE).

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masya89 [10]

Answer:

B) π

Step-by-step explanation:

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3 years ago
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4 0
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The speed at which cars travel on the highway has a normal distribution with a mean of 60 km/h and a standard deviation of 5 km/
oee [108]

The z-score of the speed value gives the measure of dispersion of the from

the mean observed speed.

The probability that the speed of a car is between 63 km/h and 75 km/h is

<u>0.273</u>.

The given parameters are;

The mean of the speed of cars on the highway, \overline x = 60 km/h

The standard deviation of the cars on the highway, σ = 5 km/h

Required:

The probability that the speed of a car is between 63 km/h and 75 km/h

Solution;

The z-score for a speed of 63 km/h is given as follows;

Z=\dfrac{x-\bar x }{\sigma }

Which gives;

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From the z-score table, we have;

P(x < 63) = 0.7257

The z-score for a speed of 75 km/h is given as follows;

Z=\dfrac{75-60 }{5 } = 3

Which gives, P(x < 75) = 0.9987

The probability that the speed of a car is between 63 km/h and 75 km/h is therefore;

P(63 < x < 75) = P(x < 75) - P(x < 63) = 0.9987 - 0.7257 = 0.273

The probability that the speed of a car is between 63 km/h and 75 km/h is

<u>0.273</u>.

Learn more here:

brainly.com/question/17489087

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2 years ago
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Step-by-step explanation:

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Answer: 6.9474 or 6.94736.

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6 0
3 years ago
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Answer:

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Step-by-step explanation:

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