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Gemiola [76]
3 years ago
15

Can somebody explain this to me

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
3 0

Answer:

This problem is asking you to use angle relationships (vertical angles, supplementary angles) to solve this problem.

Step-by-step explanation:

1. The vertical angles between ∠1 & ∠2 are equal, so find the value of x using an equation that sets them as equal to each other.

4x - 48° = x + 30°

2. These two vertical angles are supplementary to ∠1 & ∠2 on their corresponding sides (∠1 & x + 30°, ∠2 & 4x - 48°). Subtract the value of x from 180°, which is the degree of a straight line.

180° - x = ∠1

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A user’s password to access a computer system consists of 3 letters followed by 2 digits. How many different passwords are possi
Vesnalui [34]

Answer:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

Step-by-step explanation:

For this case we assume that we have 26 letters from A to Z and 10 numbers from 0 to 9 .

And we want to calculate the number of possible passwords possible if the password consists of 3 letters followed by 2 digits.

And for this case we can use the multiplication principle of combinatories, since we don't have any restriction about the letters of the numbers we can have repetition of letters or numbers.

For the number of possible letters:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

7 0
3 years ago
Read 2 more answers
What is the length of the hypotenuse of the triangle?
atroni [7]

Step-by-step explanation:

Hey there!

Here;

ABC is a Right angled triangle.

Taking reference angle as angleA.

Now;

Hypotenuse (h) = AB

Perpendicular (BC)= 24 ft.

Base(AC)= 10 ft.

Now, Using Pythagoras relation;

h =  \sqrt{ {p}^{2}  +  {b}^{2} }

Put all values.

h =  \sqrt{ {24}^{2}  +  {10}^{2} }

Simplify it.

h =  \sqrt{576 + 100}

h =  \sqrt{676}

Therefore, h= 26ft.

<u>ANS</u><u>:</u><u> </u><u>OPTIO</u><u>N</u><u> </u><u>A</u><u>.</u>

<em><u>Hop</u></em><em><u>e</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

3 0
3 years ago
Read 2 more answers
Someone please help, having trouble with this
Dennis_Churaev [7]

Answer:

C

Step-by-step explanation:

it describes how much the shown graph extends left and right.

Note that 4 is included, but -2 itself not. that's why it's empty and A isn't correct.

B and D are completely inapplicable

pls brainliest

8 0
3 years ago
A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If 20000 tickets are sold at 2
Shalnov [3]

Answer:

The expected winnings for a person buying 1 ticket is -0.2.                  

Step-by-step explanation:

Given : A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If 20000 tickets are sold at 25 cents each, find the expected winnings for a person buying 1 ticket.

To find : What are the expected winnings?    

Solution :

There are one first prize, 2 second prize and 20 third prizes.

Probability of getting first prize is \frac{1}{20000}

Probability of getting second prize is \frac{2}{20000}

Probability of getting third prize is \frac{20}{20000}

A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each.

So, The value of prizes is

\frac{1}{20000}\times 1000+\frac{2}{20000}\times 300+\frac{20}{20000}\times 10

If 20000 tickets are sold at 25 cents each i.e. $0.25.

Remaining tickets = 20000-1-2-20=19977

Probability of getting remaining tickets is \frac{19977}{20000}

The expected value is

E=\frac{1}{20000}\times 1000+\frac{2}{20000}\times 300+\frac{20}{20000}\times 10-\frac{19977}{20000}\times 0.25

E=\frac{1000+600+200-4994.25}{20000}

E=\frac{-3194.25}{20000}

E=-0.159

Therefore, The expected winnings for a person buying 1 ticket is -0.2.

3 0
3 years ago
Which method could be used to factor x2 - 25?
Mandarinka [93]

Answer:

A. Perfect square Trinomial

Step-by-step explanation:

Just did its

6 0
3 years ago
Read 2 more answers
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