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m∠1 = 6x and m∠3 = 120. Find the value of x for p to be parallel to q. The diagram is not to scale.
*114
*126
*120
*20
Find the values of x, y, and z. The diagram is not to scale. (38*, 56*,19*,x*,z*,y*)
*x = 86, y = 94, z = 67
*x = 67, y = 86, z = 94
*x = 67, y = 94, z = 86
*x = 86, y = 67, z = 94
Find the value of x. The diagram is not to scale. (72*, x*, 105*)
*33
*162
*147
*75
Find the missing angle measures. The diagram is not to scale. (125*, 65*,x*,y*,124*)
*x = 124, y = 125
*x = 56, y = 114
*x = 114, y = 56
*x = 56, y = 124
Which lines, if any, can you conclude are parallel given that m∠1 + m∠2 = 180? Justify your conclusion with a theorem or postulate.
*j||k, by the Converse of the Same-Side Interior Angles Theorem
*j||k, by the Converse of the Alternate Interior Angles Theorem
*g||h, by the Converse of the Alternate Interior Angles Theorem
*g||h, by the Converse of the Same-Side Interior Angles Theorem
The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____.
*n – 2/180
*(n – 1(180
*180/n - 1
*(-2)180
Write an equation in point-slope form of the line through point J (–5, 6) with slope –4
*y − 6 = −4(x − 5)
*y − 6 = 4(x + 5)
*y + 6 = −4(x − 5)
*y − 6 = −4(x + 5)
Write an equation in point-slope form, y – y1 = m(x – x1), of the line through points (4, –4) and (1, 2). Use (4, –4) as the point (x1, y1).
*(y – 4) = –2(x + 4)
*(y – 4) = 2(x + 4)
*(y + 4) = 2(x – 4)
*(y + 4) = –2(x – 4)
Is the line through points P(0, –9) and Q(2, –8) perpendicular to the line through points R(1, 4) and S(3, 3)? Explain.
*Yes; their slopes are equal.
*Yes; their slopes have product –1.
*No, their slopes are not reciprocals.
*No; their slopes have product –1.
Plans for a bridge are drawn on a coordinate grid. One girder of the bridge lies on the line y = 3x – 3. A perpendicular brace passes through the point (–7, 9). Write an equation of the line that contains the brace.
*y – 7 = 1/3 (x+9)
*y – 9 = 3(x + 7)
*x – 9 = 3(y + 7)
*y – 9 = -1/3 (x + 7)
How many sides does a regular polygon have if each exterior angle measures 20?
Classify the polygon by its sides.
The sum of the measures of two exterior angles of a triangle is 255. What is the measure of the third exterior angle?
Classify the triangle by its sides. The diagram is not to scale. (9,9,9)
4 answers
m�Ú1 = 6x and m�Ú3 = 120. Find the value of x for p to be parallel to q. The diagram is not to scale.
Which lines, if any, can you conclude are parallel given that m1 + m 2 = 180°? Justify your conclusion with a theorem or postulate.
x=86 y=94 z=67
1 answer