All categories

2 years ago

Which theorem or postuate can be used to prove two triangles are similar? thanks in advance

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

4 0

There are two theorems/postulates that we can use; SAS and ASA. These two work because they have properties that force the triangles to retain their shape; no resizing of any sort could be done to them.

See the attached images below to see an example of these triangles. The left one is ASA and the right on is SAS.

:)

You might be interested in

Please help: <br><br> 12x^4(-5/6x^3y^2)<br><br> If possible, include steps<br><br> Thanks.

tangare [24]

---------------------------------------------------------------------------------------
Question
---------------------------------------------------------------------------------------
$12x^4(- \frac{5}{6} x^3y^2)$

---------------------------------------------------------------------------------------
Multiply the constant: 12 x (-5/6)
---------------------------------------------------------------------------------------
$-10x^4( x^3y^2)$

---------------------------------------------------------------------------------------
Multiply the x (we add the power together when we multiply)
---------------------------------------------------------------------------------------
$-10x^7y^2$

---------------------------------------------------------------------------------------
Answer: -10x⁷y²
---------------------------------------------------------------------------------------

4 0

2 years ago

What is the equation for 5x=25?

shepuryov [24]

X= 5
multipules of 5
thinking of the factors of 5

5 0

2 years ago

Convert this number given in standard form into scientific notation. 0. 0000069 What is the value in scientific notation? 0. 69

Len [333]

Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B: $6.9 \times 10^{-6}$

<h3>How does scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

For the given case, the number in consideration is 0.0000069

Rewriting it in fraction form, we get:

$0.0000069 = \dfrac{69}{10000000} = \dfrac{69}{10^7} = 69 \times 10^{-7} = 6.9 \times 10 \times 10^{-7}\\\\0.0000069 = 6.9 \time 10 ^{-7 +1} \\0.0000069 = 6.9\times 10^{-6}$

(we used two facts: first that : $\dfrac{a}{b} = a \times \dfrac{1}{b}$

and second that: $a^{-b}= \dfrac{1}{a^b}$

Thus, the value of the given number in scientific notation is given by: Option B: $6.9 \times 10^{-6}$

Learn more about scientific notations here:

brainly.com/question/3112062

8 0

1 year ago

Work out the area of a rectangle with base, b = 32mm and perimeter, P = 82mm.

Amanda [17]

Perimeter = 2base + 2base
82 - 2(32) = 18 : 2 = 9
area = 9*32 = 288mm^2

7 0

1 year ago

Read 2 more answers

A bag contains 7 red marbles, 3 blue marbles and 5 green marbles. If three marbles

worty [1.4K]

Answer:

3.7%

Step-by-step explanation:

We know that from this situation, the probability of drawing a single green marble is 1/3. However, to find the probability of drawing 3 green marbles, we will need to do:

$P= \frac{1}{3}* \frac{1}{3}*\frac{1}{3}$

We get a probability of:

$P= \frac{1}{27}$

This converts to a percentage of:

$\frac{1}{27}= 0.037 \\ 0.037*100= 3.7%$

We get a percentage of 3.7%

8 0

2 years ago