All categories

2 years ago

Which best explains why all equilateral triangles are similar?

Mathematics

2 answers:

Neko [114]2 years ago

7 0

Answer:

Step-by-step explanation:

I hope this helps you out!

Kruka [31]2 years ago

7 0

Answer:

all equilateral triangle’s can be mapped onto each other using dilations.

Step-by-step explanation:

Because you can dilate or increase the size and scale the triangle about a certain point so if you do it correctly, this can be done with just a dilation.

Also an equilateral triangle is defined as a triangle where all the sides are congruent in length. This does not mean that all equilateral triangles are congruent (Do not get confused with D) to each other since size is the undefined variable so all equilateral triangles are proportional which means that they always have a ratio between them depending on the scale factor.

For example, let's say I have an equilateral triangle with a side length of 2, this means that all the sides must have a length of 2, but I can also have an equilateral triangle with a side length of 3, which means that all the sides will have that length for that triangle.

2 ≠ 3, but there is always a conversion factor between the side lengths. In this case a scale factor of 3/2 from the triangle with a side length of 2 to the one with a side length of 3. And a scale factor of 2/3 going from the triangle with a side length of 3 to the triangle with a side length of 2. Because all the sides are congruent, the angles must all be 60° degrees because individual side proportions defined by trigonometry are based on angles and sides. Thus, the angles are also affected due to the change in ratio.

You might be interested in

3/5 -(-2/7) i need the value of the expression and work to show

trapecia [35]

The answer is 31/35 :)

7 0

3 years ago

A circle is graphed with its center on the origin.The area of the circle is 49 square units.What are the coordinates of the x-in

neonofarm [45]

Answer:

3.95 and -3.95

Step-by-step explanation:

To graph a circle you can use the formula or (x – h)^2 + (y – k)^2 = r^2. So substituting in the given, we get x^2+y^2=49/pi. The x intercept is when y=0. So x^2=49/pi and so

x = sqrt(49/pi) and rounding to the nearest tenth, we get 3.95 and -3.95 because it isn’t a principal square root.

3 0

3 years ago

What are the female reproductive glands called?

adelina 88 [10]

Ovaries. That's were the eggs are held waiting for the sperm to arrive.

6 0

3 years ago

Read 2 more answers

2. What percent of rolling a 2 3 probability of getting HH

faust18 [17]

Answer:

2. The correct answer option is 25%.

3. The experimental probability is 3% greater than the theoretical probability.

Step-by-step explanation:

2. We are given that a number cube is rolled 20 times out of which 5 times it lands on the number 2.

We are to find the experimental probability of getting the number 2.

P (2) = $\frac{5}{20} \times 100 =\frac{1}{4} \times 100$ = 25%

3. The theoretical Outcomes are: HH HT TH TT

So theoretical probability of getting HH = $\frac{1}{4} \times 100$ = 25%

Total number of outcomes = $28+22+34+16$ = 100

So experimental probability of getting HH = $\frac{28}{100} \times 100$ = 28%

Therefore, the experimental probability is 3% greater than the theoretical probability.

6 0

3 years ago

Sherman goes golfing every 6^\text{th}6 th 6, start superscript, start text, t, h, end text, end superscript day and Brad goes g

nydimaria [60]

Answer:

In every 42 days, Sherman and Brad will go golfing on the same day.

Step-by-step explanation:

Given:

Sherman goes golfing every 6th day.

Brad goes golfing every 7th day.

If they both went golfing today, we need to determine how many days unit they will go golfing on the same day again.

Solution:

In order to determine how many days unit Sherman and Brad will go golfing on the same day again, we will take least common multiple of 6 and 7.

To find least common multiple of 6 and 7, we will list out their multiples.

$6=6,12,18,24,30,36,42$

$7=7,14,21,28,35,42$

We find out that the least common multiple of 6 and 7 =42.

Thus, we can conclude that Sherman and Brad will go golfing on same days on every 42nd day after they meet..

7 0

4 years ago

Read 2 more answers