Answer:
x = 17.5 and y = 35
Step-by-step explanation:
2x + 10 = y + 10 ( alternate angles )
subtract 10 from both sides
2x = y ⇒ 6x = 3y → (1)
the sum of the 3 angles in the triangle = 180°
6x + y + 10 + 30 = 180 ( replace 6x by 3y )
3y + y + 40 = 180
4y + 40 = 180 ( subtract 40 from both sides )
4y = 140 ( divide both sides by 4 )
y = 35
substitute y = 35 into (1)
2x = 35 ( divide both sides by 2 )
x = 17.5
Answer:
Step-by-step explanation:
The y-intercept of the given table is 2000.
<u>Step-by-step explanation:</u>
Write the table in the ascending order.
From the table, calculate the rise and run to find the slope of the line.

Choose points (0,2000) and (1,1800).
rise= -200 and run=1.
Slope m = -200.
The line equation is y=mx+c.
Apply the slop value in the equation,
y= -200x+c.
To find the y-intercept substitute a value in the above equation.
Substitute(1,1800),
1800 = -200(1)+c.
2000=c.
y= -200x+2000.
The y-intercept is the point where the line passes through in the vertical y-axis at the origin.
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Answer:
because .47 rounded up is .5