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VikaD [51]
3 years ago
13

Proof diagram given angle 1 is equal to angle 5 true line p is parallel to line r

Mathematics
1 answer:
beks73 [17]3 years ago
4 0

a. vertical angles are congruent

b. congruence of angles is transitive

c. if two lines are cut by a transversal such that alternate interior angles are congruent, then the lines are parallel


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julsineya [31]

Answer:

4/2, 2/7, 1/2, 5/6 is your answer

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A tourist first walked 17km with a speed of v km/h. Then he hiked 12 km uphill with the speed that was 2 km/hour less than his o
ExtremeBDS [4]

Answer: t=\frac{17}{v}+\frac{12}{v-2}


Step-by-step explanation:

Given: A tourist first walked 17km with a speed of v km/h.

Since Speed=\frac{distance}{time}

therefore, Time=\frac{distance}{speed}

Let t_1 be the time he walked with speed v.

then t_1=\frac{17}{v}

Also he hiked 12 km uphill with the speed that was 2 km/hour less than his original speed.

Let t_2 be the time he hiked 12 km,

Then t_2=\frac{12}{v-2}

The total time for the whole trip is given by:-

t=t_1+t_2=

Substitute the values of t_1 and t_2 in the equation, we get

t=\frac{17}{v}+\frac{12}{v-2}

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3 years ago
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A sample of computer tablet batteries has a mean battery life of 28 months and standard deviation of 4 months. What is the lifes
Ulleksa [173]

Using the Empirical Rule, it is found that the lifespans, in months, are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

<h3>What is the Empirical Rule?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

More can be learned about the Empirical Rule at brainly.com/question/24537145

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2 years ago
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