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8_murik_8 [283]
3 years ago
6

A card is drawn from a standard deck of 52 cards. What is the probability of drawing a face card (jack, king, or queen) or a bla

ck card? (Hint: Half of a standard deck of 52 cards has black cards.)
Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0
Probability of drawing a face card =
4 suits x 3 = 12
\frac{12}{52}  =  \frac{3}{13}
Probability of drawing a black card =
\frac{26}{52}  =  \frac{1}{2}
Hope this helps. - M
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Ill give you Brainlyest! I need help ASAP work shown, please!!<br> problems 8-15
8_murik_8 [283]

Using the segment addition theorem, the solutions are:

5. x = 17

6. x = 7

7. x = 14

BC = 27

CD = 61

BD = 88

8. AB = 26

9. LJ = 46

10. x = 3

11. FG = 15

12. QS = 34

13. BC = 26

14. EG = 19

15. QS = 68

<h3>How to Apply the Segment Addition Theorem?</h3>

The segment addition theorem would be used to solve the problems as shown below:

5. UW = UV + VW [segment addition theorem]

Substitute

6x - 35 = 19 + 4x - 20

6x - 4x = 35 + 19 - 20

2x = 34

x = 17

6. HJ = HI + IJ [segment addition theorem]

Substitute

7x - 27 = 3x - 5 + x - 1

7x - 3x - x = 27 - 5 - 1

3x = 21

x = 7

7. BD = BC + CD [segment addition theorem]

Substitute

7x - 10 = 4x - 29 + 5x - 9

7x - 4x - 5x = 10 - 29 - 9

-2x = -28

x = 14

BC = 4x - 29 = 4(14) - 29 = 27

CD = 5x - 9 = 5(14) - 9 = 61

BD = 7x - 10 = 7(14) - 10 = 88

8. BC = BD

Substitute

2x + 1 = 5x - 26

2x - 5x = -1 - 26

-3x = -27

x = 9

AB = 43 - BC

AB = 43 - 2x + 1 = 43 - 2(9) + 1 = 26

9. 7x - 10 = 9x - 11 - (x + 3)

7x - 10 = 9x - 11 - x - 3

7x - 9x + x = 10 - 11 - 3

-x = -4

x = 4

LJ = 28 + 7x - 10 = 28 + 7(4) - 10

LJ = 46

10. 8x + 11 = 12x - 1

8x - 12x = -11 - 1

-4x = -12

x = 3

11. 11x - 7 = 3x + 9

11x - 3x = 7 + 9

8x = 16

x = 2

FG = 11x - 7 = 11(2) - 7

FG = 15

12. 5x - 3 = 21 - x

5x + x = 21 + 3

6x = 24

x = 4

QS = 2(5x - 3) = 10x - 6 = 10(4) - 6

QS = 34

13. 8x - 20 = 2(3x - 1)

8x - 20 = 6x - 2

8x - 6x = 20 - 2

2x = 18

x = 9

BC = AB = 3x - 1 = 3(9) - 1

BC = 26

14. 5x - 1 = 7x - 13

5x - 7x = 1 - 13

-2x = -12

x = 6

EG = 6x - 4 - 13 = 6(6) - 4 - 13

EG = 19

15. RT - ST = RS

Substitute

8x - 43 - (4x - 1) = 2x - 4

8x - 43 - 4x + 1 = 2x - 4

4x - 42 = 2x - 4

4x - 2x = 42 - 4

2x = 38

x = 19

QS = 2(RS)

QS = 2(2x - 4) = 4x - 8 = 4(19) - 8

QS = 68

Learn more about the segment addition theorem on:

brainly.com/question/28263183

#SPJ1

8 0
2 years ago
Roger can shovel his family's driveway in 1 hour. His older sister, Alexis, can shovel the driveway in 1/2 hour. If they work to
sukhopar [10]

Answer:

40 min

Step-by-step explanation:

his sister can do it twice as fast so the boy does 1 and the sister does 2. he will do 1/3 of the work and it will take 1/3 of the time

8 0
3 years ago
Read 2 more answers
what is the value of the X variable in the solution to the following system of equations for 4x+ 2y =6 x-y=3
blagie [28]
X=1,y=1

1 )4x+2y=6
2 ) x -y=3

2(x2) ) 2x - 2y=6
6 0
3 years ago
Read 2 more answers
Twice a number divided by 5 gives 4<br><br>simple equations<br><br>​
melomori [17]

Answer:

x=10

Step-by-step explanation:

Let the number = x

∴ 2x/5=4

∴2x=5*4

∴2x=20

∴x=20/2

∴x=10

Hope it helps you!

Mark as brainliest if you like it  

3 0
3 years ago
Read 2 more answers
Pleaseeeeee hellopppppppp!!
Nastasia [14]

Answer:

A. 29

B. 11

C. 10

D. 12

Step-by-step explanation:

A. 180 - 122 = 58

58 divided by 2 = 29

-

B. 180 - 37 = 143

x = 11

5 x 11 = 55

8 x 11 = 88

55 + 88 = 143 + 37 - 180

-

C. the small box in a triangle means right angle = 90

90 - 68 = 22

(2x - 2) we subtract before finding out what x is

22 - 2 = 20

2x = 20 divide by 2  = 10

x is equal to 10

-

D. to find the total, you must figure out what each equation is to add them up to make 180.

(8x + 3) + (2x + 9) + 4x = 180

add up the numbers with x and the numbers without them

14x + 12 = 180

subtract 180 - 12 = 168

168 divided by 14 = 12

x = 12

Hope this helped !!

6 0
3 years ago
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