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stiks02 [169]
3 years ago
5

What values for x would make the lines parallel?

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0

Answer:

x = 15  degrees

3 angles in triangle are 44, 44 and 92 degrees.


Step-by-step explanation:

When the lines are parallel the internal angles add up to 180 degrees. So:-

8x + 7 + 2x + 23 = 180

10x + 30 = 180

10x = 150

x = 15


In the triangle:-

The angle adjacent to 136 = 180 - 136

= 44 degrees.  As 2 sides of the triangle are congruent the other base angle = 44 degrees also.

The third angle = 180 - 2(44) =  92 degrees

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Stels [109]

Answer:

5 / (x+4)      x ≠2 x≠-4

Step-by-step explanation:

5(x-2)/(x-2)(x+4)

The denominator cannot be zero so x ≠2 x≠-4

Cancel like terms in the numerator and denominator

5 / (x+4)      x ≠2 x≠-4

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3 years ago
Given the equation y = 4x - 3.A) If x increases by 1 unit, what is the corresponding change in y? B) If x decreases by 5 units,
DedPeter [7]

Answer:

A) y will increase by 4 unit.

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Step-by-step explanation:

Given equation that shows relation between x and y.

y=4x-3

A) If x is increased by 4 units

   New value of  y =  4(x+1)-3

                              =4x+4-3

                              =4x+1

So, change in y = new value of y- original value of y

                         =4x+1-(4x-3)

                          =4x+1-4x+3

                          =4

Thus, the value of y will be increased by 4 units.

B) If x is decreased by 5 units

   New value of  y =  4(x-5)-3

                              =4x-20-3

                              =4x-23

So, change in y = new value of y- original value of y

                         =4x+1-(4x-3)

                          =4x-23-(4x-3)

                          =4x-23-4x+3

                          = -20

Thus, the value of y will be decreased by 20 units.

7 0
3 years ago
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julsineya [31]

Answer:

B. 1 and D. 3.  

Step-by-step explanation:

The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).

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Check:

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7 0
3 years ago
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pickupchik [31]
25

The triangle given by 9, unknown, and 15 and the triangle given by 15, unknown, and x are similar triangles and therefore 9:15 = 15:x

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8 0
3 years ago
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