70º
It's a supplementary angle so 180º - 110º
So the distance between subway stop and house is 19 units
Step-by-step explanation:
The distance formula will be used to calculate the distance between home and subway.
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Here (x1,y1) are the coordinates of first point
and
(x2,y2) are the coordinates of second point
Given
(x1,y1) = (7, -6)
(x2,y2) = (-9,5)
Putting the values in the formula
![d=\sqrt{(-9-7)^2+(5-(-6))^2} \\=\sqrt{(-16)^2+(5+6)^2} \\=\sqrt{256+(11)^2}\\=\sqrt{256+121}\\=\sqrt{377}\\=19.41\ units](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-9-7%29%5E2%2B%285-%28-6%29%29%5E2%7D%20%5C%5C%3D%5Csqrt%7B%28-16%29%5E2%2B%285%2B6%29%5E2%7D%20%5C%5C%3D%5Csqrt%7B256%2B%2811%29%5E2%7D%5C%5C%3D%5Csqrt%7B256%2B121%7D%5C%5C%3D%5Csqrt%7B377%7D%5C%5C%3D19.41%5C%20units)
Rounding off to nearest unit gives us 19.
So the distance between subway stop and house is 19 units
Keywords: Distance, distance formula
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Answer to written question:
3x + 10x + 7x = 180
Combine like terms
20x = 180
Divide by 20
x = 9
Smallest angle 3x = 3*9 = 27 degrees
Answer to question in picture:
30/6x-2 = 36/5x + 13
Cross multiply
30(5x + 13) = 36(6x-2)
Distribute
150x + 390 = 216x - 72
Subtract 150x
390 = 66x - 72
Add 72
462 = 66x
Divide by 66
x = 7
False.
The Rational Root theorem states that P is a factor of the constant term and q is a factor of the leading coefficient.