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alina1380 [7]
2 years ago
10

Find the value of x.

Mathematics
1 answer:
zepelin [54]2 years ago
8 0

Answer:

Step-by-step explanation:

Using the Z theorem, the upper  angle on the right = 60 degrees.

The angle which includes 3x is 120  because this is a parallelogram and consecutive angles must add to 180. So 180 - 60 = 120

The angle above the 3x is 120 - 3x

120 - 3x + 90 + 2x = 180 These angles make a straight line line. Combine.

210 - x = 180                    Subtract 210 from both sides.

- x = 180 - 210                  Combine

-x = - 30                           Multiply both sides by - 1

x = 30

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Two more than than 4 times a number is -18
wolverine [178]
-4..................
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3 years ago
Karen wants to estimate the mean number of siblings for each student in her school. She records the number of siblings for each
Tamiku [17]

The sample is 200 randomly selected students.

The following things should be considered:

  • Let us assume the no of siblings for each student be x.
  • Now for determining the mean no of siblings she choose 200 students.

So, here the sample should be 200 randomly selected students.

Therefore the other options should be incorrect.

Thus we can conclude that the sample is 200 randomly selected students.

Learn more about the sample here: brainly.com/question/13287171

5 0
2 years ago
What is the slope intercept form of the line that passes through the point (-2,-18) and has a slope of 1/4
mart [117]

Answer:

y=(1/4)x - 35/2

Step-by-step explanation:

y=mx+b

y=(x/4)+b                 plug in the slope (m)

-18=(-2/4)+b             plug in x and y

b= -17 1/2= -35/2     solve for b

y=(1/4)x - 35/2         plug in m and b into the equation

8 0
3 years ago
DJ Titus is making a playlist for a radio show; he is trying to decide what 10 songs to play and in what order they should be pl
Dominik [7]

Answer:

Different playlists possible = 18287141644800

Step-by-step explanation:

Given - DJ Titus is making a playlist for a radio show; he is trying to

            decide what 10 songs to play and in what order they should be

            played.

            Step 1 of 2 : If he has his choices narrowed down to 7 blues,

                                 7 disco, 5 pop, and 7 reggae songs.

To find - He wants to play no more than 4 reggae songs.

              How many different playlists are possible ?

Proof -

Given that he wants to play no more that 4 reggae songs.

So the possibility of choice of reggae song is 0, 1, 2, 3, 4

Now,

Case I -

If 0 reggae song is selected

⇒All 10 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₁₀ ₓ ⁷C₀ = 92,378

Case II -

If 1 reggae song is selected

⇒All 9 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₉ ₓ ⁷C₁ = 646,646

Case III -

If 2 reggae song is selected

⇒All 8 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₈ ₓ ⁷C₂ = 1,587,222

Case IV -

If 3 reggae song is selected

⇒All 7 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₇ ₓ ⁷C₃ = 1,763,580

Case V -

If 4 reggae song is selected

⇒All 6 songs selected from 7 blue, 7 disco, 5 pop,

Number of ways = ¹⁹C₆ ₓ ⁷C₄ = 949,620

So,

Total possible ways = 92,378+ 646,646+ 1,587,222+ 1,763,580+ 949,620

                               = 5,039,446

⇒Total possible ways = 5,039,446

Now,

Also the 10 songs selected can arranged themselves in 10! ways. ( because order of song played does not matter )

∴ we get

Different playlists possible = 10! × 5,039,446

                                          = 18287141644800

⇒Different playlists possible = 18287141644800

6 0
2 years ago
Briana has just finished her sixth grade scrapbook. In her scrapbook ,47% of the pages include her twin sister,Bethany. The scra
Pani-rosa [81]
 you do 47%/100% and X/896 and cross multiply . so 47 times 896 =  42112 and divide that by hundred so the answer should be 421 photos. 
3 0
3 years ago
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