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3 years ago

Name a pair of vertical angle

Mathematics

1 answer:

xeze [42]3 years ago

4 0

Answer:

If we draw a pair of intersecting lines, we have created two pairs of vertical angles. Here, angles AOC and BOD are a pair of vertical angles. Angles AOB and COD are also a pair of vertical angles. Notice that vertical angles are never adjacent angles.

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What is the greatest number of right angles that a triangle can contain

SOVA2 [1]

Answer: 1 right angle is the maximum

4 0

3 years ago

Read 2 more answers

A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence

belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

$\mathbf{n = 5}$ --- the number of digits

$\mathbf{r = 3}$ ---- the number of actions

Each of the three actions can either be:

Pressing one button
Pressing a pair of buttons

The number of ways of pressing a button is:

$\mathbf{n_1 = ^5C_1}$

Apply combination formula

$\mathbf{n_1 = \frac{5!}{(5-1)!1!}}$

$\mathbf{n_1 = \frac{5!}{4!1!}}$

$\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}$

$\mathbf{n_1 = 5}$

The number of ways of pressing a pair is:

$\mathbf{n_2 = ^5C_2}$

Apply combination formula

$\mathbf{n_2 = \frac{5!}{(5-2)!2!}}$

$\mathbf{n_2 = \frac{5!}{3!2!}}$

$\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}$

$\mathbf{n_2 = 10}$

So, the number of ways of performing one action is:

$\mathbf{n =n_1 + n_2}$

$\mathbf{n =5 + 10}$

$\mathbf{n =15}$

For the three actions, the number of ways is:

$\mathbf{Action = n^3}$

$\mathbf{Action = 15^3}$

$\mathbf{Action = 3375}$

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

4 0

3 years ago

What property out of distributive,communitive,and associative.

Vlad1618 [11]

Hello!

The Associative Property of Multiplication states the following:

a × (b × c) = (a × b) × c

The equation given in the image above follows the same form:

9 × (5 × 2) = (9 × 5) × 2

Therefore, the given equation must be representative of the Associative Property.

I hope this helps!

7 0

4 years ago

Help plz i give brainliest

Natasha_Volkova [10]

Answer: Hope this helps :)

$\frac{1}{5} b^{27}$