3 years ago

Last question on the quiz

Mathematics

1 answer:

Sveta_85 [38]3 years ago

6 0

Answer: 152 degrees.

Step-by-step explanation: Since angle 1 and angle 5 are alternate exterior angles, they are congruent. Thus, angle 5 is also equal to 152 degrees.

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$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have to, if two lines are parallel then their slopes are equal.

Given the line $y = x + 4$ , with slope $m_ {1} = 1$ . A parallel line will have slope $m_ {2} = 1$ and its equation will be of the form:

$y = x + b$

We substitute the given point and find "b":

$2 = 2 + b\\2-2 = b\\b = 0$

Finally, the equation is:

$y = x$

Answer:

$y = x$

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