Find the angle $$\theta$$ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree. $$\begin{array} { l }
x - y = 10 \
3 x - 2 y = 1
\end{array}$$
A) $$\Theta \approx 0.0907 \text { radians } \approx 6.2 ^ { \circ }$$
B) $$\Theta \approx 0.0907 \text { radians } \approx 4.2 ^ { \circ }$$
C) $\Theta \approx 0.0907 \text { radians } \approx 5.2 ^ { \circ }$
D) $\Theta \approx 0.0907 \text { radians } \approx 7.2 ^ { \circ }$
E) $\Theta \approx 0.0907 \text { radians } \approx 3.2 ^ { \circ }$

Question

Find the angle $$\theta$$ (in radians and degrees)between the lines.Round your answer to four decimal places for radians and round your answer to one decimal places for degree.​ $$\begin{array} { l } 
x - y = 10 \
3 x - 2 y = 1
\end{array}$$ ​
A) $$\Theta \approx 0.0907 \text { radians } \approx 6.2 ^ { \circ }$$
B) $$\Theta \approx 0.0907 \text { radians } \approx 4.2 ^ { \circ }$$
C) $\Theta \approx 0.0907 \text { radians } \approx 5.2 ^ { \circ }$
D) $\Theta \approx 0.0907 \text { radians } \approx 7.2 ^ { \circ }$
E) $\Theta \approx 0.0907 \text { radians } \approx 3.2 ^ { \circ }$

Quizplus · Accepted Answer

The slopes of the lines are 1 and 1.5. The angle between them is calculated using the formula $\tan^{-1} \left| \frac{m_1 - m_2}{1 + m_1 m_2} \right|$, resulting in approximately 0.0907 radians or 5.2 degrees.

Find the Angle θ\thetaθ (In Radians and Degrees)between the Lines x−y=103x−2y=1\begin{array} { l } x - y = 10 \\3 x - 2 y = 1\end{array}x−y=103x−2y=1​

Find the Angle $\theta$ (In Radians and Degrees)between the Lines $\begin{array} { l } x - y = 10 \\3 x - 2 y = 1\end{array}$