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Sloan [31]
3 years ago
15

Solve for the variables

Mathematics
1 answer:
Vesna [10]3 years ago
5 0

Answer:

P  = 32

x  = 35

Step-by-step explanation:

For the first diagram,

 The two angles given are corresponding angles. Corresponding angles are equal;

 So;

    the first angle is a right angle triangle;

  90 =  3P - 6

       3P  = 90 + 6

        3P  = 96

          P  = 32

For the second diagram;

The sum of those two angles is 180°

      (x + 75) + 2x = 180

      x + 2x + 75  = 180

          3x + 75  = 180

          3x  = 180 - 75

         3x  = 105

          x  = 35

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3 years ago
Solve for x.<br><br> 4−(2x+4)=5<br><br> A. x=32<br> B. x=−52<br> C. x=−10<br> D. x = 6
Dennis_Churaev [7]
  • <em>Answer:</em>

<em>x = - 2.5</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>4 - (2x + 4) = 5</em>

<em>4 - 2x - 4 = 5</em>

<em>- 2x = 5</em>

<em>2x = - 5</em>

<em>x = - 5 : 2</em>

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<em>Good luck !</em>

6 0
3 years ago
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
Makovka662 [10]

Given:

The geometric sequence is:

n              a_n

1                        -4

2                      20

3                     -100

To find:

The explicit formula and list any restrictions to the domain.

Solution:

The explicit formula of a geometric sequence is:

a_n=ar^{n-1}            ...(i)

Where, a is the first term, r is the common ratio and n\geq 1.

In the given sequence the first term is -4 and the second term is 20, so the common ratio is:

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