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umka21 [38]
2 years ago
7

Triangles ABD and ACE are similar right triangles. which ratio best explains why the slope of AB is the same as the slope of AC

Mathematics
1 answer:
IgorC [24]2 years ago
8 0

slope is rise over run.

Which segments from each triangle represent rise and which represent run?

little triangle: rise is BD and run is DA

big triangle: rise is CE and run is EA

Answer: D \frac{BD}{DA} = \frac{CE}{EA}

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In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer.
AysviL [449]

Answer:

< CFE = 40°

Step-by-step explanation:

To better understand the solution, see attachment for the diagram.

Given:

BC parallel to DE

Measure of Arc BD = 58°

Measure of Arc DE = 142°

First step: Draw a diameter that passes through the centre of the circle and name it. In this case, the diameter is line ST.

The line ST divides the arc BD and arc DE into half.

That is:

Arc SC = 1/2(arc BC) =1/2(58)

Arc SC = 29°

Arc TE = 1/2(arc DE) =1/2(142)

Arc TE = 71°

Arc SC + Arc CE + Arc TE = 180° (Sum of angles in a semicircle

29° + Arc CE  + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Inscribed angle = 1/2(intercepted angle)

<CFE = 1/2(Arc CE )

<CFE = 1/2(80)

< CFE = 40°

5 0
1 year ago
The cost of filling up Jason's car is directly proportional to the number of gallons purchased. It if costs Jason $32.40 to purc
horsena [70]

Answer:

$ 24.30

Step-by-step explanation:

1. $32.40 multiplied by 15 which would equal 486

2. Then you would do 486 divided by 20 which would equal $24.3

3. Then you just add the zero the the end

8 0
1 year ago
The editor of a textbook publishing company is deciding whether to publish a proposed textbook. Information on previous textbook
kogti [31]

Answer:

34.86% probability that it will be huge​ success

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Receiving a favorable review.

Event B: Being a huge success.

Information on previous textbooks published show that 20 % are huge​ successes

This means that P(B) = 0.2

99 % of the huge successes received favorable​ reviews

This means that P(A|B) = 0.99

Probability of receiving a favorable review:

20% are huge​ successes. Of those, 99% receive favorable reviews.

30% are modest​ successes. Of those, 70% receive favorable reviews.

30% break​ even. Of those, 40% receive favorable reviews.

20% are losers. Of those, 20% receive favorable reviews.

Then

P(A) = 0.2*0.99 + 0.3*0.7 + 0.3*0.4 + 0.2*0.2 = 0.568

Finally

P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.99}{0.568} = 0.3486

34.86% probability that it will be huge​ success

4 0
1 year ago
Lori bought a shirt and a hat at a half off sale. If she spent a total of $21 on the two items, what was the original price of t
Bad White [126]
Do 21 divided by 2 and you’ll get 10.5 so the original price was $10 and 50 cents
6 0
1 year ago
How many 1.1 centimeters length can be made from a string that is 5.093 centimeters long ​
Lesechka [4]

Answer:

4

Step-by-step explanation:

    (whole string length) ÷ (1.1 cm pieces)

     5.093  ÷   1.1   =  <u>4</u>.63

                                           

         The answer, 4.63 is a whole number, 4, plus a remaninder of 63/100.

          The whole number part, the 4, is the answer.

                         

7 0
2 years ago
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