Find the value of x and y.

Mathematics

1 answer:

SCORPION-xisa [38]2 years ago

7 0

Answer:

x = 11°

y = 56°

Step-by-step explanation:

6x -10 and 5x + 1 are the same because they are vertical angles. vertical angles are congruent

6x - 10 = 5x + 1
x - 10 = 1
x = 11°

y and 5x - 1 are the same because they are corresponding.

y = 5x + 1
y = 5(11) + 1
y = 55 + 1
y = 56

-Chetan K

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Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

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Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :