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3 years ago

Are the following figures similar?

Mathematics

2 answers:

grin007 [14]3 years ago

7 0

C Yes; the corresponding angles are congruent

Amiraneli [1.4K]3 years ago

6 0

Answer:

B. No; the corresponding sides are not proportional.

Step-by-step explanation:

Similar figures, by definition do have all congruent corresponding angles and their legs are dilated at the same ratio. This dilation may be inversely or directly proportional. In this case we have the first condition but not the second, for we have four right angles each rectangle and its corresponding angles, but not proportional sides.

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A test consists of 10 multiple choice questions with five choices for each question. As an experiment, you GUESS on each and eve

kow [346]

Answer:

Step-by-step explanation:

Firstly, we should know that this problem is a Bernoulli trial problem.

We shall be using the equation of the trial later in the question.

We know that there are 5 options per questions, this mean that there are a total of 10 × 5 = 50 options.

Now, we also know that there are 10 correct options and 40 incorrect ones.

The probability of selecting a correct option is 10/50 = 0.2

The probability of selecting an incorrect option is 40/50 = 0.8

We know that since he is selecting exactly 6 correct answers, there has to be 4 incorrect ones, since he's attempting 10 questions.

Applying this parameters in the equation yields the following :

(10C6) × (0.2)^6 × (0.8)^4 = 210 × 0.000064 × 0.4096 =0.005505024

This is approximately equal to 0.006

The answers in the options are in percentage. Hence we convert the decimal to percentage.

6/1000 × 100% = 0.6%

8 0

3 years ago

HELP PLS I NEED TO TURN IT IN MONDAY!

AnnyKZ [126]

Terri can swim 3 laps in 2.5 minutes. To find how long it takes to swim 20 laps, you can make a proportion.

$\frac{Lap}{Time}$

Put the amount of laps on the top and the time(minutes) at the bottom.

$\frac{3}{2.5} = \frac{20}{x}$

Cross multiply:

$20 \times 2.5 = 50$

Divide by 3:

$50 \div 3 = 16 \frac{2}{3} \rightarrow 16.67$

It would take Terri $16 \frac{2}{3}$ OR $16.67$ minutes to run 20 laps.

6 0

3 years ago

Help help help help <br> Number 1 and 2 in the next q

alexira [117]

Answer:

either 81 or 162

Step-by-step explanation:

I got 81 by 27×12

162=27×12×2

4 0

3 years ago

At 4 p.m., the temperature started to change drastically. Each hour, for three hours the temperature decreased by 7°F

Natalija [7]

Answer:

07-7-7

Step-by-step explanation:

3 0

3 years ago

An artist designed a metal structure in the shape of a pyramid with dimensions as shown. A pyramid has a square base with side l

bagirrra123 [75]

Answer:

Step-by-step explanation:

In order to determine the number of

tiles she will need to cover the pyramid, we would apply the formula for determining the total surface area of a pyramid. It is expressed as

Total surface area = 1/2 × p × l + base area

Where

p represents the perimeter of the base

l represents the slant height of the triangular face

Since the base is a square, the perimeter, p is

12 × 4 = 48 feet

l = 15 feet

Base area = 12² = 144 ft²

Total surface area = (1/2 × 48 × 15) + 144 = 504 ft²

Since the artist decides to cover the metal structure with 1-foot square glass tiles, the number of tiles needed is

504/1 = 504 tiles

6 0

3 years ago