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2 years ago

Hey ! Can anyone help me with this please ? Thank you so much .

Mathematics

1 answer:

castortr0y [4]2 years ago

6 0

9514 1404 393

Answer:

x = 57

Step-by-step explanation:

Where parallel lines are crossed by a transversal, all obtuse angles are congruent and supplementary to all acute angles, which are also congruent.

x = 180 -123

x = 57

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Please help on problem 14! Thanks!!

pickupchik [31]

2 hours has more the the other so I would say it would be 8

4 0

3 years ago

What does i^739 equal? explain how you found your answer.

Sophie [7]

<h3>Answer: -i</h3>

========================================================

Explanation:

i = sqrt(-1)

Lets list out the first few powers of i

i^0 = 1
i^1 = i
i^2 = -1
i^3 = i*i^2 = i*(-1) = -i
i^4 = (i^2)^2 = (-1)^2 = 1

By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.

For example, i^5 = i^1 because 5/4 leads to a remainder 1.

Another example: i^6 = i^2 since 6/4 = 1 remainder 2

Again, we only care about the remainder to find out which bin we land on.

-------------

Turning to the question your teacher gave you, we have,

739/4 = 184 remainder 3

So i^739 = i^3 = -i

<h3>-i is the final answer</h3>

--------------

Side notes:

if i^a = i^b, then a-b is a multiple of 4
Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.

4 0

2 years ago

THE NUMBER 1-10 ARE IN A BAG, YOU TAKE 2 OUT WITHOUT REPLACEMENT. WHAT IS THE PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME

ehidna [41]

Answer:

1 / 18

Step-by-step explanation:

PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME = Number of favorable outcome / Total number of outcomes

Favorable outcome = 1

Total number of outcome (1,2,3,4,5,6,7,8,9,10) = 10

PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME = 1 / 10

PROBABILITY OF DRAWING AN EVEN NUMBER THE SECOND TIME = Number of favorable outcome / Total number of outcomes

Favorable outcome (2,4,6,8,10) = 5

Total number of outcomes (1,2,3,4,5,6,8,9,10) = 9

PROBABILITY OF DRAWING AN EVEN NUMBER THE SECOND TIME = 5/9

PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME AND THEN DRAWING AN EVEN NUMBER = 1 / 10 * 5 / 9 = 1 / 18

6 0

3 years ago

What is the value of x?

Charra [1.4K]

Answer:

The value of x

Step-by-step explanation:

Is -3 i think soooooo

4 0

2 years ago

There are 2 yellow marbles and 11 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choo

Dahasolnce [82]

Answer:

The probability of choosing a yellow marble is 2/13

Step-by-step explanation:

There are 2 yellow and 11 blue marbles in the bag or a total of 13 marble

P(yellow) = number of yellow marbles / total marble

= 2/13

The probability of choosing a yellow marble is 2/13

5 0

3 years ago

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