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Licemer1 [7]
3 years ago
5

A community bike ride offers 5.7 mile ride

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
7 0
5.7 mile ride on the community bike ride
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Help please this is for my homework that is due to tomorrow!!
Murljashka [212]

The given polygons are similar

Step-by-step explanation:

By observing the given diagrams, we can see that the respective angles are congruent.

Two shapes are said to be similar if they have same shapes or one shape is created by uniformly increasing or decreasing the side of other.

For this purpose we find the scale factor of greater to smaller image, if the scale factor is same for each side then the two shapes are similar

So,

The scale factor is:

\frac{EF}{AB} = \frac{3}{1} = 3\\\\\frac{FG}{BC} = \frac{9}{3} = 3\\\\\frac{GH}{CD} = \frac{15}{5} = 3\\\\\frac{EH}{AD} = \frac{21}{7} = 3

We can see that the scale factor is same for all sides.

Hence,

The given polygons are similar

Keywords: Polygons, similarity

Learn more about polygons at:

  • brainly.com/question/6569012
  • brainly.com/question/6541303

#LearnwithBrainly

5 0
3 years ago
You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question. Suppose that you h
damaskus [11]

Answer:

a) Expected score on the exam is 12.8.

b) Variance 10.24, Standard deviation 3.2

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you does not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The variance of the binomial distribution is:

V(X) = np(1-p)

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

64 questions.

So n = 64

5 possible answers, one correctly, chosen at random:

So p = \frac{1}{5} = 0.2

(a) What is your expected score on the exam?

E(X) = np = 64*0.2 = 12.8

(b) Compute the variance and standard deviation of x. Variance =Standard deviation

V(X) = np(1-p) = 64*0.2*0.8 = 10.24

Variance 10.24

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{64*0.2*0.8} = 3.2

Standard deviation 3.2

5 0
3 years ago
What is the slope-intercept equation of the line going through (3, -6) and
jok3333 [9.3K]

Hi there!

\large\boxed{D. \text{ }y = -4x + 6}

To derive an equation given the points, we can use the slope formula:

slope = \frac{y_{2}-y_{1}}{x_{2}-x{1}}

Plug in the corresponding coordinates:

slope = \frac{-6-2}{3-1}

Simplify:

slope = \frac{-8}{2} = -4

Therefore, we have:

y = -4x + b

Plug in the x and y values for a coordinate to solve for b:

2 = -4(1) + b

2 = -4 + b

b = 6

The equation is:

y = -4x + 6. The correct answer is D.

7 0
3 years ago
What is the following quotient 9+sqrt 2/4-sqrt 7
babunello [35]

9 + √2 / 4 - √7

Multiply the numerator and denominator by the conjugate.

Exact form:

(36 + 9√ 7 + 4√2 + √14) / 9

or

about 7.69

:)))

8 0
3 years ago
Read 2 more answers
What is 40% of 70 ounces ????​
frosja888 [35]

Answer:

28 ounces

is the answer

6 0
3 years ago
Read 2 more answers
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