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Scorpion4ik [409]
3 years ago
6

Solve for x Please help

Mathematics
1 answer:
Elodia [21]3 years ago
5 0

Answer:

The answer to your question is below

Step-by-step explanation:

1) Alternate interior angles measure the same

       10x - 10° = 100°

       10x = 100° + 10°

        10x = 110°

           x = 110° / 10°

           x = 11°

2) Alternate exterior angles measure the same

       x + 99° = 90°

       x = 90° - 99°

       x = -9°

3) Supplementary angles measure 180°

       (6x + 12) + (14x + 8) = 180°

        6x + 12 + 14x + 8 = 180°

        20x + 20 = 180

        20x = 180 - 20

        20x = 160

            x = 160 / 20

            x = 8

4)  Alternate exterior angles measure the same

           26x + 1 = 131°

            26x = 131° - 1°

            26x = 130°

            x = 130° / 26°

            x = 5

5) Consecutive interior angles measure 180°

             x + 100 + 85° = 180°

             x + 185 = 180

            x = 180 - 185

              x = -5

             

6) Corresponding angles measure the same

            7x - 7 = 70

            7x = 70 + 7

            7x = 77

              x = 77 / 7

              x = 11

7) Supplementary angles measure 180°

            (12x + 8) + (100°) = 180°

              12x + 8 + 100 = 180

              12x + 108 = 180

              12x = 180 - 108

              12x = 72

                  x = 72 / 12

                  x = 6

8) Consecutive interior angles measure 180°

              18x + 8x - 2 = 180°

              26x = 180 + 2

               26x = 182

                   x = 182 / 26

                   x = 7

9) Corresponding angles measure the same

               27x + 7 = 28x + 3

              27x - 28x = 3 - 7

              -1x = -4

                x = -4/-1

                x = 4

10) Consecutive interior angles measure 180°

              (x + 107) + (x + 87) = 180

               x + 107 + x + 87 =  180

               2x + 194 = 180

               2x = 180 - 194

               2x = -14

                 x = -14 / 2

                 x = -7

   

         

       

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Add these two equalities and then divide by 11:

x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}=884+1414=2298\ lb,\\ \\\dfrac{x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}}{11}=\dfrac{2298}{11}=208\dfrac{10}{11}\ lb.

Answer: the mean weight of the 11-person team is 208\dfrac{10}{11}\ lb.

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A school buys games for 6 classrooms. It buys 3 board games, 4 puzzles, and 1 video for each classroom. How many games dose the
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The students in Steven's class got to choose between pizza and burgers for the
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4 0
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3 years ago
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25. a 2018 pew research center survey found that more americans believe they could give up their televisions than could give up
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(a)Probability that a person could give up cell phone = 0.48

(b)Probability that a person who could give up her cell phone also could give up television is 0.65

(c) Probability that a person who could not give up a cell phone could give up television is 0.73

What is Probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.

According to  the given question:

a. Probability that a person could give up cell phone = 0.48

b. Probability that a person who could give up her cell phone also could give up television

= P(give up cell phone and TV)/p(give up cell phone)

= 0.31/0.48

= 0.6458

= 0.65

c. Probability that a person who could not give up a cell phone could give up television is

= P(could not give up cellphone and could give up TV)/P(could not give up cell phone)

= 0.38/0.52

= 0.73

d. The probability a person could give up television is higher for persons who couldn't give up cell phones than for those who could give up their cell phones.

Hence,

(a)Probability that a person could give up cell phone = 0.48

(b)Probability that a person who could give up her cell phone also could give up television is 0.65

(c) Probability that a person who could not give up a cell phone could give up television is 0.73

To learn more about Probability, visit:

brainly.com/question/13604758

#SPJ4

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