Pre-Calc/Trig Unit 1: Trig Functions/1.2 Angle Relationships Corresponding Sides of Triangles A triangle drawn on a map has sides of length #a cm, #b cm, and #c cm.  The shortest side corresponds to a real-life distance of 120 km.  What distance in km corresponds to the longest side of the triangle?  Round to tenths.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>(</mo><mo>(</mo><mi>c</mi><mo>*</mo><mn>120</mn><mo>)</mo><mo>/</mo><mi>a</mi><mo>)</mo><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Find third angle of a triangle Find the third angle in triangle given these angles:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«mo»§#160;«/mo»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«/math»

Round to the nearest degree

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>12</mn><mo>,</mo><mn>70</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mn>180</mn><mo>-</mo><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-0)</option><option name="relative_tolerance">false</option><option name="precision">3</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> The triangles are similar. Find the missing side, angle or value of the ... The triangles are similar. Find the missing side, angle or value of the variable.



a = 8
b = 10
c = 6
d = 4
e = 5]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCABYAOADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9U6KKKACiiigAooooAKKKyfFPinS/BehXWsaxdfZLC32hmWNpXd3YJHFHGgLyyu7IiRoGd3dVVWZgCAHinxTpfgvQrrWNYuvslhb7QzLG0ru7sEjijjQF5ZXdkRI0DO7uqqrMwB4D/hKvivpn/E8uvBWn6zot3848M6Zexwa7pidEVpJZfsd5K+5XkUS26QBXVJLw7WbV8LeFtU8Ta7a+MfGNr9kv7fcdE8PNIsqaIjqUaWRkJSW+dGZXkUskSO0MLMrTzXXoFAHKeBfil4Y+JH26PQtT86/0/Z9v0q8t5bPUbDfu8r7TZzqk8HmBGZPMRd64ZcqQT1dcp46+Fvhj4kfYZNd0zzr/AE/f9g1WzuJbPUbDft837NeQMk8HmBFV/Ldd65VsqSDyv/Fz/hr/ANVd0Ff+vXTfEUX/AKKsbvLv/wBOXlRRf8vMh5APVaK5TwL8UvDHxI+3R6FqfnX+n7Pt+lXlvLZ6jYb93lfabOdUng8wIzJ5iLvXDLlSCeroAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKyfFPinS/BehXWsaxdfZLC32hmWNpXd3YJHFHGgLyyu7IiRoGd3dVVWZgCAHinxTpfgvQrrWNYuvslhb7QzLG0ru7sEjijjQF5ZXdkRI0DO7uqqrMwB5Xwt4W1TxNrtr4x8Y2v2S/t9x0Tw80iypoiOpRpZGQlJb50ZleRSyRI7QwsytPNdHhbwtqnibXbXxj4xtfsl/b7jonh5pFlTREdSjSyMhKS3zozK8ilkiR2hhZlaea69AoAKKKyfFPinS/BehXWsaxdfZLC32hmWNpXd3YJHFHGgLyyu7IiRoGd3dVVWZgCAa1FeVf8LB+Ifh//ib+IPh/9p8N3P777PoF2LrWNHj9Lq2+5c7URpHNnJJIHlWCKC4CfaJO18FeP/DvxF0qXUPDmrW+qW8ExtbpIiVms7hVVnt7iJgHgnQOu+GVVkQnDKDxQBU8dfC3wx8SPsMmu6Z51/p+/wCwarZ3EtnqNhv2+b9mvIGSeDzAiq/luu9cq2VJB5X/AIuf8Nf+qu6Cv/XrpviKL/0VY3eXf/py8qKL/l5kPPqtFAHKeBfil4Y+JH26PQtT86/0/Z9v0q8t5bPUbDfu8r7TZzqk8HmBGZPMRd64ZcqQT1dcp46+Fvhj4kfYZNd0zzr/AE/f9g1WzuJbPUbDft837NeQMk8HmBFV/Ldd65VsqSDyv/Fz/hr/ANVd0Ff+vXTfEUX/AKKsbvLv/wBOXlRRf8vMh5APVaK5TwL8UvDHxI+3R6FqfnX+n7Pt+lXlvLZ6jYb93lfabOdUng8wIzJ5iLvXDLlSCeroAKKKKACiufsviF4V1Hxlf+ELTxNo914ssIRc3mgw38T31tEQhEkkAbeikSxncQB+8T+8M9BQAUUUUAFFFFABRRRQAUUUUAfNX7X/AIN+KfxC/svQfh7puoWPn2VykPi3S/E91Zf2bdPhFFzaQ3tnuiGY5VuAbxk8qVfsj7xu9g+Cl74tv/hH4Ql8e2Fxp3jZdMgi1uG5a2LNeogSaQfZnaLbI6tIoQjCuoKocqO1rJ8U+KdL8F6FdaxrF19ksLfaGZY2ld3dgkcUcaAvLK7siJGgZ3d1VVZmAIAeKfFOl+C9CutY1i6+yWFvtDMsbSu7uwSOKONAXlld2REjQM7u6qqszAHlfC3hbVPE2u2vjHxja/ZL+33HRPDzSLKmiI6lGlkZCUlvnRmV5FLJEjtDCzK0810eFvC2qeJtdtfGPjG1+yX9vuOieHmkWVNER1KNLIyEpLfOjMryKWSJHaGFmVp5rr0CgArz/wCM3xu8N/A/wrd6xrcv2u7hsrrUINDs7q2TUb+C2Tzbt7aKeWIS+TDmVwrZCqcAkqD6BXy/+1F+zJ4d8deLdS+Ieu+JrfSdIv8Awk3gjXtPvtGOpm5spb6OeA6equrR6h55CwtsuMytBshZ1AcA9r0b4veHdW+Eeh/EeWS403w9q+mWeqW6XMJe523SRtBCIot5kndpY41ij3s8jKiBiwBqeFvC2qeJtdtfGPjG1+yX9vuOieHmkWVNER1KNLIyEpLfOjMryKWSJHaGFmVp5rriv2a/gx4i8IeAPAyfEK8t9S1fwtpkWl6Fp1vbCCHS7eOIwRzSoJplfUHgwksqyNHGGkigIR5pLj3WgArivGvwh8O+NtVi1x47jRfFlvCLe18T6JMbTUoY1ZnSIyrxNAJG8z7NOJLd2ALxPjFdrRQB5V/b/wAQ/hl8viDTf+FjeG4+P7c0CAQ6xbRj+K6sM7LnaiM7y2bCSR3VIrEDmu18FeP/AA78RdKl1Dw5q1vqlvBMbW6SIlZrO4VVZ7e4iYB4J0DrvhlVZEJwyg8V0FcV41+EPh3xtqsWuPHcaL4st4Rb2vifRJjaalDGrM6RGVeJoBI3mfZpxJbuwBeJ8YoA7WuU8dfFjwP8L/sP/CZeMvD/AIS+3b/sn9u6pBZfaNm3f5fmuu7bvTOM43LnqK5X+3/iH8Mvl8Qab/wsbw3Hx/bmgQCHWLaMfxXVhnZc7URneWzYSSO6pFYgc14/8UP2c/DX7Wfj8fErwh4+t1dfD8/gnXdJuUvzCYjKLhrW5is76xuIJ1811mtrhmGHQPEjJkgH0V46+Fvhj4kfYZNd0zzr/T9/2DVbO4ls9RsN+3zfs15AyTweYEVX8t13rlWypIPK/wDFz/hr/wBVd0Ff+vXTfEUX/oqxu8u//Tl5UUX/AC8yHnv/AAn4W0vwN4V0bw3olr9i0XR7KHT7G28xpPJgiQRxpuclmwqgZYknHJJrWoA5TwL8UvDHxI+3R6FqfnX+n7Pt+lXlvLZ6jYb93lfabOdUng8wIzJ5iLvXDLlSCerrlPHXwt8MfEj7DJrumedf6fv+warZ3EtnqNhv2+b9mvIGSeDzAiq/luu9cq2VJB5X/i5/w1/6q7oK/wDXrpviKL/0VY3eXf8A6cvKii/5eZDyAfP/AO1j8CPifr3x91P4geBrLxBfQ3/wyu/Clo3hLWbXTby21UXTXFq9zJPNA622945M28hctblHUxMyS/Wvw9svEWneAPDVp4vv7fVPFkGmW0WsX1ooWG5vViUTyIAiAK0gcgbF4I+UdBU8C/FLwx8SPt0ehan51/p+z7fpV5by2eo2G/d5X2mznVJ4PMCMyeYi71wy5Ugnq6ACiiigAooooAKKKKACiisnxT4p0vwXoV1rGsXX2Swt9oZljaV3d2CRxRxoC8sruyIkaBnd3VVVmYAgB4p8U6X4L0K61jWLr7JYW+0MyxtK7u7BI4o40BeWV3ZESNAzu7qqqzMAeV8LeFtU8Ta7a+MfGNr9kv7fcdE8PNIsqaIjqUaWRkJSW+dGZXkUskSO0MLMrTzXR4W8Lap4m1218Y+MbX7Jf2+46J4eaRZU0RHUo0sjISkt86MyvIpZIkdoYWZWnmuvQKACiiigDJ8U+KdL8F6FdaxrF19ksLfaGZY2ld3dgkcUcaAvLK7siJGgZ3d1VVZmAPK+FvC2qeJtdtfGPjG1+yX9vuOieHmkWVNER1KNLIyEpLfOjMryKWSJHaGFmVp5rrn/ABr8L/iLr3xQi8U6T438L2+m6fCI9H0fW/ClzfDTpWRknuQ8eowB55Fdo/MZMxxExpt82czW/wDhHPjf/wBFD+H/AP4Qd9/8uaAPVaK8q/4Rz43/APRQ/h//AOEHff8Ay5o/4Rz43/8ARQ/h/wD+EHff/LmgD1WivKv+Ec+N/wD0UP4f/wDhB33/AMua5Tx1418cfC/7D/wmXx1+D/hL7dv+yf274XnsvtGzbv8AL83XF3bd6ZxnG5c9RQB9AUV5V/wjnxv/AOih/D//AMIO+/8AlzR/wjnxv/6KH8P/APwg77/5c0Aeq1xXjX4Q+HfG2qxa48dxoviy3hFva+J9EmNpqUMaszpEZV4mgEjeZ9mnElu7AF4nxiuf/wCEc+N//RQ/h/8A+EHff/Lmj/hHPjf/ANFD+H//AIQd9/8ALmgA/t/4h/DL5fEGm/8ACxvDcfH9uaBAIdYtox/FdWGdlztRGd5bNhJI7qkViBzXa+CvH/h34i6VLqHhzVrfVLeCY2t0kRKzWdwqqz29xEwDwToHXfDKqyIThlB4riv+Ec+N/wD0UP4f/wDhB33/AMua4rxr+z98TvG2qxa4/j7wPoviy3hFva+J9E8E39pqUMaszpEZV1nE0AkbzPs04kt3YAvE+MUAfRVFcp8M9F8X+H/CsFh428Uaf4w1qHan9r6fo50vz0CIu6WHz5VMrMHZmTYnzALGoXnq6AOU8dfC3wx8SPsMmu6Z51/p+/7BqtncS2eo2G/b5v2a8gZJ4PMCKr+W671yrZUkHlf+Ln/DX/qrugr/ANeum+Iov/RVjd5d/wDpy8qKL/l5kPPqtFAHKeBfil4Y+JH26PQtT86/0/Z9v0q8t5bPUbDfu8r7TZzqk8HmBGZPMRd64ZcqQT1dcp46+Fvhj4kfYZNd0zzr/T9/2DVbO4ls9RsN+3zfs15AyTweYEVX8t13rlWypIPK/wDFz/hr/wBVd0Ff+vXTfEUX/oqxu8u//Tl5UUX/AC8yHkA9VorlPAvxS8MfEj7dHoWp+df6fs+36VeW8tnqNhv3eV9ps51SeDzAjMnmIu9cMuVIJ6ugAooooAyfFPinS/BehXWsaxdfZLC32hmWNpXd3YJHFHGgLyyu7IiRoGd3dVVWZgDyvhbwtqnibXbXxj4xtfsl/b7jonh5pFlTREdSjSyMhKS3zozK8ilkiR2hhZlaea65/wAa/C/4i698UIvFOk+N/C9vpunwiPR9H1vwpc3w06VkZJ7kPHqMAeeRXaPzGTMcRMabfNnM1v8A4Rz43/8ARQ/h/wD+EHff/LmgD1WivKv+Ec+N/wD0UP4f/wDhB33/AMuaP+Ec+N//AEUP4f8A/hB33/y5oA9Voryr/hHPjf8A9FD+H/8A4Qd9/wDLmj/hHPjf/wBFD+H/AP4Qd9/8uaAPVaK8q/4Rz43/APRQ/h//AOEHff8Ay5o/4Rz43/8ARQ/h/wD+EHff/LmgD1WivKv+Ec+N/wD0UP4f/wDhB33/AMuaP+Ec+N//AEUP4f8A/hB33/y5oA9Vr5/+M37MGqfED4p3fj/wx4u0/wAPa1qXgy68Dahb674eXWrOSyln88SRwmaJRKrFwRL50bqVBjwDu6v/AIRz43/9FD+H/wD4Qd9/8uaP+Ec+N/8A0UP4f/8AhB33/wAuaAO/8J+HLfwf4V0bQbRt9ppdlDYwt5EMGUiQIp8uFI4k4UfLGiIOiqoAA1q8q/4Rz43/APRQ/h//AOEHff8Ay5o/4Rz43/8ARQ/h/wD+EHff/LmgD1WivKv+Ec+N/wD0UP4f/wDhB33/AMuaP+Ec+N//AEUP4f8A/hB33/y5oA9Voryr/hHPjf8A9FD+H/8A4Qd9/wDLmj/hHPjf/wBFD+H/AP4Qd9/8uaAPVaK8q/4Rz43/APRQ/h//AOEHff8Ay5o/4Rz43/8ARQ/h/wD+EHff/LmgD1WivKv+Ec+N/wD0UP4f/wDhB33/AMuaP+Ec+N//AEUP4f8A/hB33/y5oA9Voryr/hHPjf8A9FD+H/8A4Qd9/wDLmj/hHPjf/wBFD+H/AP4Qd9/8uaAOq8dfC3wx8SPsMmu6Z51/p+/7BqtncS2eo2G/b5v2a8gZJ4PMCKr+W671yrZUkHlf+Ln/AA1/6q7oK/8AXrpviKL/ANFWN3l3/wCnLyoov+XmQ8n/AAjnxv8A+ih/D/8A8IO+/wDlzR/wjnxv/wCih/D/AP8ACDvv/lzQB1XgX4peGPiR9uj0LU/Ov9P2fb9KvLeWz1Gw37vK+02c6pPB5gRmTzEXeuGXKkE9XXz/AOOvgV8SPiR9hk13xh8P5r/T9/2DVbPwXqdnqNhv2+b9mvINcSeDzAiq/luu9cq2VJB9V+Fvh3xP4U8CaZpXjLxd/wAJ34kt/N+1+IP7Mi077Vuldk/0eIlE2oyJwedm48k0AdXRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXzr+0H4N+MviP4oaLdfCDVbjwncReH9Rh1DXdb1BbjQZWdGFpbjTcuxu1nKS/awiLHGCr/agfIBRQB6V8AdK1TRPg14TsNb07xBpWtW9kEvrXxTra6zqKz5PmNLeI7rNubLKy7RtZQI4gPLT0CiigAooooAKKKKACiiigAooooAKKKKACiiigD//Z 1.0000000 0.3333333 0 true true abc x = 12 Correct x = 6 Incorrect x = 18 Incorrect x = 14 Incorrect Use the properties of angle measures to find the measure of each marked ... Use the properties of angle measures to find the measure of each marked angle.

Find the measure of the marked angles.

a = (4x + 12)°, b = (2x + 66)°]]> 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 1.0000000 0.3333333 0 true true abc 20°, 70° Correct 2°, 88° Incorrect 2°, 178° Incorrect 20°, 66° Incorrect