The triangles shown are similar.

Mathematics

2 answers:

liubo4ka [24]2 years ago

8 0

$\dfrac{x}{9}=\dfrac{5}{3}\\
\dfrac{x}{9}=\dfrac{15}{9}\\
x=15$

valkas [14]2 years ago

6 0

15, because 3 goes into 9, 3 times and, 4 goes into 12, 3 times therefore x has to follow this rule because these 2 triangles are similar and because it already gives you 5 just take 5*3=15 there is your answer enjoy!=)

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If we are given the value of α. How can we find the value of β?

Cloud [144]

Answer:

β = 140 - α

we know that the "missing" angle is 40° since 40 + 140 = 180

we also know that the total sum of angles in a triangle is 180

so β = 180 - 40 - α

or β = 140 - α

Step-by-step explanation:

4 0

3 years ago

Let us analyze the following setting. You are given a circle of unit circumference. You pickkpoints on the circle independently

garik1379 [7]

Answer:

We have been given a unit circle which is cut at k different points to produce k different arcs. Now we can see firstly that the sum of lengths of all k arks is equal to the circumference:

$\small \sum_{i = 1}^{k} L_i= 2\pi$

Now consider the largest arc to have length \small l . And we represent all the other arcs to be some constant times this length.

we get :

$\small \sum_{i = 1}^{k} C_i.l = 2\pi$

where C(i) is a constant coefficient obviously between 0 and 1.

$\small \sum_{i = 1}^{k} C_i= 2\pi/l$

All that I want to say by using this step is that after we choose the largest length (or any length for that matter) the other fractions appear according to the above summation constraint. [This step may even be avoided depending on how much precaution you wanna take when deriving a relation.]

So since there is no bias, and \small l may come out to be any value from [0 , 2π] with equal probability, the expected value is then defined as just the average value of all the samples.

We already know the sum so it is easy to compute the average :

$\small L_{Exp} = \frac{2\pi}{k}$

7 0

2 years ago

Help me please!!!!!!!!!!!!!!

tia_tia [17]

Answer:

okay so you would make a line straight across the middle of the spherical shape. The line that goes all the way across is the diameter. If you were to cut that line in half that would be the radius.

Step-by-step explanation:

The first circle shown in the picture provided would be an example of diameter, and the second circle would be an example of the radius. You could just make up a value, for example say the diameter is 10, the radius would be 5.