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3 years ago

Does every right triangle have two complementary angles

2 answers:

7 0

Yes. in a triangle 3 angles add up to be 180, the 90 is taken out in the right triangle, so the other 2 angles must equal 90 (aka complementary)

Lemur [1.5K]3 years ago

3 0

You are right! Complementary angles are those angles when you sum them, you get 90°. When you sum all the angles of a triangle you get 180°.
Thus there are two complementary in a right angles triangle.

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What is the minimum number of times you must throw three fair six-sided dice to ensure that the same sum is rolled twice?

Vladimir [108]

For three fair six-sided dice, the possible sum of the faces rolled can be any digit from 3 to 18.
For instance the minimum sum occurs when all three dices shows 1 (i.e. 1 + 1 + 1 = 3) and the maximum sum occurs when all three dces shows 6 (i.e. 6 + 6 + 6 = 18).

Thus, there are 16 possible sums when three six-sided dice are rolled.

Therefore, from the pigeonhole principle, <span>the minimum number of times you must throw three fair six-sided dice to ensure that the same sum is rolled twice is 16 + 1 = 17 times.

The pigeonhole principle states that </span><span>if n items are put into m containers, with n > m > 0, then at least one container must contain more than one item.

That is for our case, given that there are 16 possible sums when three six-sided dice is rolled, for there to be two same sums, the number of sums will be greater than 16 and the minimum number greater than 16 is 17.
</span>

4 0

3 years ago

How do I solve the length of AC?

Crank

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∆ABC and ∆ADE are similar triangles.

Thus ;

$\frac{AD}{AC} = \frac{DE}{BC} = \frac{AE}{AB} \\$

So :

$\frac{5}{3 + 2x} = \frac{4}{8} \\$

$\frac{5}{3 + 2x} = \frac{1}{2} \\$

Inverse both sides

$\frac{3 + 2x}{5} = \frac{2}{1} \\$

$\frac{2x + 3}{5} = 2 \\$

Multiply sides by 5

$5 \times \frac{2x + 3}{5} = 5 \times 2 \\$

$2x + 3 = 10$

Thus ;

$AC = 2x + 3 = 10$

$AC = 10$

Done...

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7 0

3 years ago

These are a pair of angles, adjacent or nonadjacent, whose sum is 90°.

Alexus [3.1K]

A pair of angles, which are either adjacent or non-adjacent, whose sum is 90 degrees, is classified and known as Complementary Angles. Complementary Angles are made from adjacent or non-adjacent angles, when added to together, their sum is equal to 90 degrees.

4 0

3 years ago

MovieMania, an online movie rental website charges a one-time fee of $6.85 and $2.99 Per movie rental. Let m represent the numbe

nasty-shy [4]

Answer:

C=6.85+2.99m, where:

C is the total cost to watch the movies

m is the number of movies you watch

Step-by-step explanation:

From the information provided, you can say that the total cost to watch the movies would be equal to the one-time fee plus the result of multiplying the price per movie for the number of movies you watch, which can be expressed as:

C=6.85+2.99m, where:

C is the total cost to watch the movies

m is the number of movies you watch

6 0

3 years ago

How do I solve (2x^3)^4?

larisa86 [58]

Hello There!

You would have to do work out 2 to the fourth power.
Also, 3 x 4.
The rules of powers are:
If you have to multiply, you add them
If you have to divide, you subtract them
If they are in brackets like this ^^, you multiply them.

Therefore, your answer is $16^{12}$

Hope This Helps You!
Good Luck :)

- Hannah ❤

8 0

3 years ago

Read 2 more answers