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laiz [17]
2 years ago
12

Need help with the last 2 numbers ​

Mathematics
1 answer:
professor190 [17]2 years ago
6 0

Answer:

the solution is t ≤1 (1)

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Write an equation in slope-intercept form of the line that passes through the points (-6, -10) and (1,4).​
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zzz [600]

Answer:

  • x = 7
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Step-by-step explanation:

The markings on the figure show this to be a parallelogram. That means opposite sides are congruent. Because the sides are parallel, "alternate interior" angles are also congruent.

__

Angle y forms a linear pair with the one marked 83°, so is supplementary to it:

  y = 180°-83° = 97°

__

The angle marked y is an exterior angle to the triangle containing the angle marked (7x -5)°. As such, it is equal to the sum of the remote interior angles, the one marked (7x -5)° and the unmarked one that is congruent to (3x +32)°.

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__

The side marked Z is congruent to the opposite parallel side, so ...

  z = 19

__

The missing measures are ...

  • x = 7
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_____

<em>Additional comment</em>

You can also find the value of y by adding up the interior angles of the right-side triangle. The one not shown there is "alternate interior" to the one marked (7x -5)°, hence has the same measure. This gives ...

  (7x -5) +(3x +32) +83 = 180

Subtracting 83° from both sides gives the equation we used above.

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