{"status": "success", "data": {"description_md": "A triangle has vertices $P=(-8,5)$, $Q=(-15,-19)$, and $R=(1,-7)$. The equation of the bisector of $\\angle P$ can be written in the form $ax+2y+c=0$. Find $a+c$.\n___\nLeading zeroes must be inputted, so if your answer is `34`, then input `034`. Full 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>A triangle has vertices <span class=\"katex--inline\">P=(-8,5)</span>, <span class=\"katex--inline\">Q=(-15,-19)</span>, and <span class=\"katex--inline\">R=(1,-7)</span>. The equation of the bisector of <span class=\"katex--inline\">\\angle P</span> can be written in the form <span class=\"katex--inline\">ax+2y+c=0</span>. Find <span class=\"katex--inline\">a+c</span>.</p>&#10;<hr><p>Leading zeroes must be inputted, so if your answer is <code>34</code>, then input <code>034</code>. 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": 4, "problem_name": "1990 AIME Problem 7", "can_next": true, "can_prev": true, "nxt": "/problem/90_aime_p08", "prev": "/problem/90_aime_p06"}}