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Pavlova-9 [17]
3 years ago
6

1. Solve for the value of x

Mathematics
1 answer:
Tamiku [17]3 years ago
7 0

Answer:

<h3><u>x = 18</u></h3>

Explanation:

  • Line E B C Needs To Equal 180°
  • Create An Equation

3x + 5 + 3x + 4 + 3x + 9 = 180

  • Simplify Both Sides Of The Equation

(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)

9x + 18 = 180

9x + 18 = 180

  • Subtract 18 From Both Sides

9x + 18 − 18 = 180 − 18

9x = 162

Divide Both Sides By 9

9x / 9 = 162 / 9

<h3><u>x = 18</u></h3>
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A video rental store keeps a list of their top 15 movie rentals each week. This week the list includes 6 action, 4 comedies, 3 d
azamat

Answer:

<h2>32/1125</h2>

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/Total outcome.

If a video rental store keeps a list of their top 15 movie rentals each week, the total outcome is 15.

If the list for the week includes 6 action, 4 comedies, 3 dramas, and 2 mysteries and the store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store, the probability that she selected 2 comedies and 1 action movie will be calculated as shown;

Probability of selecting 2 comedies  = 4/15*4/15 = 16/225 (Note that the expected outcome in this case is 4).

Probability of selecting 1 action movie = 6/15 = 2/5

<em>Hence, the probability that she selected 2 comedies and 1 action movie will be equivalent to 16/225*2/5 = 32/1125</em>

<em>Note that the rented movies will have to be returned hence reason for the replacement. </em>

8 0
3 years ago
If a car averages 23.2 miles per gallon of gasoline, how far can it go on 15.25 gallons?
ankoles [38]

The car goes 23.2 miles every gallon, so with 15 gallons (15 * 23.2 = 348) it can go 348 miles. With the extra .25 that the car has, it can go 0.25 * 23.2 = 5.8 miles. 348 miles plus the 5.8 miles gets you 353.8 miles on 15.25 gallons.

8 0
3 years ago
Find the equation of a line that is parallel to y=x+3 and passes through the point (-2,-4)
Dafna1 [17]

Answer:

y = x - 2

Step-by-step explanation:

y + 4 = 1 (x + 2)

y + 4 = x + 2

y = x - 2

5 0
3 years ago
A company's board of directors wants to form a committee of
NeTakaya

1∪ 2/3.....................

8 0
3 years ago
What is p+1 +8 = 8p+16
padilas [110]

Answer:

Step-by-step explanation:

p+1 +8 = 8p+16

p+9 = 8p+16

9-16 = 8p-p

-7=7p

-7/7 =p

-1=p

5 0
3 years ago
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