{"status": "success", "data": {"description_md": "Line $\\ell$ in the coordinate plane has the equation $3x - 5y + 40 = 0$. This line is rotated $45^{\\circ}$ counterclockwise about the point $(20, 20)$ to obtain line $k$. What is the $x$-coordinate of the $x$-intercept of line $k?$\n\n$\\textbf{(A) } 10 \\qquad \\textbf{(B) } 15 \\qquad \\textbf{(C) } 20 \\qquad \\textbf{(D) } 25 \\qquad \\textbf{(E) } 30$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Line  <span class=\"katex--inline\">\\ell</span>  in the coordinate plane has the equation  <span class=\"katex--inline\">3x - 5y + 40 = 0</span> . This line is rotated  <span class=\"katex--inline\">45^{\\circ}</span>  counterclockwise about the point  <span class=\"katex--inline\">(20, 20)</span>  to obtain line  <span class=\"katex--inline\">k</span> . What is the  <span class=\"katex--inline\">x</span> -coordinate of the  <span class=\"katex--inline\">x</span> -intercept of line  <span class=\"katex--inline\">k?</span> </p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A) } 10 \\qquad \\textbf{(B) } 15 \\qquad \\textbf{(C) } 20 \\qquad \\textbf{(D) } 25 \\qquad \\textbf{(E) } 30</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2020 AMC 12A Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/20_amc12A_p13", "prev": "/problem/20_amc12A_p11"}}