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In-s [12.5K]
3 years ago
15

Can anyone please help me with this? You need to find the equation to solve for x, the value of x, and the value of each angle m

easure for all 5 questions. I will give brainliest

Mathematics
1 answer:
love history [14]3 years ago
4 0

Answer:

1. a) 3x + 21 = 6x - 60

  b) x = 27

  c) angle measure = 102º

2. a) 12x - 18 = 8x + 10

   b) x = 7

   c) angle measure = 66º

3. a) 7x + 9 + 5x + 3 = 180 (simplified: 12x + 12 = 180)

   b) x = 14

   c) 107º; 73º

4. a) 3x + 10 + 3x -28 = 180 (simplified: 6x -18 = 180)

   b) x = 33

   c) 109º; 71º

5. a) 12x + 15 = 15x

   b) x = 5

   c) 75º

Step-by-step explanation:

1. a) they're the same angle so set them equal to each other: 3x + 21 = 6x - 60

  b) solve from the equation above

      3x + 21 = 6x - 60        subtract 3x from both sides

       21 = 3x - 60                add 60 to both sides

       81 = 3x                        divide both sides by 3

       x = 27

  c) plug back into each equation (they should be the same, but do both just to check)

      3(27) + 21 = 81 +21 = 102º

      6(27) - 60 = 162 - 60 = 102º

2. a) again, they're the same angle measure so set them equal to each other: 12x - 18 = 8x + 10

   b) solve the equation for x

      12x - 18 = 8x + 10            subtract 8x from both sides

       4x - 18 = 10                     add 18 from both sides

       4x = 28                           divide both sides by 4

       x = 7

  c) plug back into each equation (they should be the same, but do both just to check)

      12(7) - 18 = 84 - 18 = 66º

      8(7) + 10 = 56 + 10 = 66º

3.  a) the sum of the two angles is 180º so 7x + 9 + 5x + 3 = 180

         if you want the equation simplified: 12x +12 = 180

     b) solve for x, i will be using the simplified equation

         12x + 12 = 180            subtract 12 from both sides

         12x = 168                    divide both sides by 12

         x = 14            

     c) plug into each equation to get the two angle measures

         7(14) + 9 = 98 + 9 = 107º

         5(14) + 3 = 70 + 3 = 73º

4. a) the sum of the two angles is 180º so 3x + 10 + 3x -28 = 180

       if you want it simplified: 6x -18 = 180

   b) solve for x, i will be using the simplified equation

       6x - 18 = 180                    add 18 to both sides

       6x = 198                           divide both sides by 6

       x = 33

   c) plug into each equation to get the two angle measures

      3(33) + 10 = 99 + 10 = 109º

      3(33) - 28 = 99 - 28 = 71º

5. a) they're the same angle measure so set them equal to each other: 12x + 15 = 15x

   b) solve for x with the equation above

        12x + 15 = 15x                   subtract 12x from both sides

        15 = 3x                              divide both sides by 3

        x = 5

  c) plug back into each equation (they should be the same, but do both just to check)

      12(5) + 15 = 60 + 15 = 75º

      15(5) = 75º    

     

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Ira Lisetskai [31]

Answer:

The probability that a birth was to a teen mother if we know that the pregnancy was unintended is 0.1942.

Step-by-step explanation:

Denote the events as follows:

<em>T</em> = birth was to a teen mother

<em>Y</em> = birth was to a young-adult mother

<em>A</em> = birth was to an adult mother

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<em>I</em> = a birth was intended.

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Consider the tree diagram below.

According to the Bayes' theorem,

P(B|A)=\frac{P(A|B)P(B)}{P(A|B)P(B)+P(A|B^{c})P(B^{c})}

Using the Bayes' theorem compute the probability that a birth was to a teen mother if we know that the pregnancy was unintended as follows:

P(T|U)=\frac{P(U|T)P(T)}{P(U|T)P(T)+P(U|Y)P(Y)+P(U|A)P(A)} \\=\frac{(0.77\times0.09)}{(0.77\times0.09)+(0.50\times0.24)+(0.25\times0.67)} \\=0.19423\\\approx0.1942

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4 years ago
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scoundrel [369]

For the first point, remember this simple rule: every exponential function a^x always returns a when evaluated at x = 1. In fact, a^1=a for every possible base a.

So, we can see that the graph of the exponential passes through the point (1,y) where y appears to be between 1 and 2. So, the only feasible option would be y = 1.8^x, because it passes throught the point (1,1.8) because f(1) = 1.8^1 = 1.8.

The other functions are wrong because:

  • 0.45^x would pass through (1,0.45), which would be between 0 and 1 on the y axis
  • 2.4^x would pass through (1,2.4), which would be between 2 and 3 on the y axis
  • 0.31^x would pass through (1,0.31), which would be between 0 and 1 on the y axis

As for the second question, you simply have to plug in the values: the function

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