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0 10 1. In the accompanying diagram, lines a and bare parallel, and lines c and d are transversals. t Which angle is congruent to angle 8? 1) 3 3) 5 20 30 4) 6 2. In the accompanying diagram, parallel lines AB and CD are intersected by transversal at points G and H, respectively, mLAGH=x+15, and m2GHD = 2x. A 3. The accompanying diagram shows a football player crossing the 20-yard line at an angle of 30° and continuing along the same path. (x+15) G (2x) Which equation can be used to find the yalue of x? 12x+x+15=90 2) 2x+x+15= 180 3) 2x= x + 15 4) 2x(x + 15)=0 End Zone 30 0 10 20 30 What is the measure of angle B, where the player crosses into the end zone? 30° 2) 60° 3) 150° 4) 180° 4. A transversal intersects two lines. Which condition would always make the two lines parallel? 1-Vertical angles are congruent. Alternate Interior angles are congruent. 3-Corresponding angles are supplementary 4-Consecutive Interior angles are complementary. 5. Which equation represents a line perpendicular to the line y=2x-3 and goes through (-2,-4)? 1) y = 2x 3 y=-x-5 6. Which equation represents a line that is parallel to the line whose equation is 2x + 4y = 12? 12x = 12 3) y = 2x 7. Given the diagram, pick the best choice. F E H G 1) EB HD 3) EA HC M 62° Z 45° 58° 2 8. Given the diagram: Name which two segments must be parallel and why? с H A 2) y=-x-4 4) y=x-4 2)x= 12 4) y=-x+6 115 201 45 9. Find m<1 and the m<2. X W 61° 2DEA || HD 4) EA HC 59⁰ R CA HR силна

0 10 1. In the accompanying diagram, lines a and bare parallel, and lines c and d are transversals. t Which angle is congruent to angle 8? 1) 3 3) 5 20 30 4) 6 2. In the accompanying diagram, parallel lines AB and CD are intersected by transversal at points G and H, respectively, mLAGH=x+15, and m2GHD = 2x. A 3. The accompanying diagram shows a football player crossing the 20-yard line at an angle of 30° and continuing along the same path. (x+15) G (2x) Which equation can be used to find the yalue of x? 12x+x+15=90 2) 2x+x+15= 180 3) 2x= x + 15 4) 2x(x + 15)=0 End Zone 30 0 10 20 30 What is the measure of angle B, where the player crosses into the end zone? 30° 2) 60° 3) 150° 4) 180° 4. A transversal intersects two lines. Which condition would always make the two lines parallel? 1-Vertical angles are congruent. Alternate Interior angles are congruent. 3-Corresponding angles are supplementary 4-Consecutive Interior angles are complementary. 5. Which equation represents a line perpendicular to the line y=2x-3 and goes through (-2,-4)? 1) y = 2x 3 y=-x-5 6. Which equation represents a line that is parallel to the line whose equation is 2x + 4y = 12? 12x = 12 3) y = 2x 7. Given the diagram, pick the best choice. F E H G 1) EB HD 3) EA HC M 62° Z 45° 58° 2 8. Given the diagram: Name which two segments must be parallel and why? с H A 2) y=-x-4 4) y=x-4 2)x= 12 4) y=-x+6 115 201 45 9. Find m<1 and the m<2. X W 61° 2DEA || HD 4) EA HC 59⁰ R CA HR силна

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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of 10 20 30 Ms. Bianco Geometry 1. In the accompanying diagram, lines a and are parallel, and lines c and d are transversals. be 30° 3) 150° 34 A Which angle is congruent to angle 8? 1) 3 (2) 4 4) 6 3) 5 2. In the accompanying diagram, parallel lines AB and CD are intersected by transversal at points G and H, respectively, mLAGH=x+15, and mzGHD = 2x. EX B (x+15) G (2x)" Which equation can be used to find the yalue of x? (1) 2x+x+15=90 2) 2x+x+15= 180 3) 2x= x + 15 4) 2x(x + 15) = 0 3. The accompanying diagram shows a football player crossing the 20-yard line at an angle of 30° and continuing along the same path. 5 6. End Zone 130€ D B 0 10 20 30 What is the measure of angle B, where the player crosses into the end zone? 2) 60° 4) 180° Name Eduendo larges Nov 2022 4. A transversal intersects two lines. Which condition would always make the two lines parallel? 1-Vertical angles are congruent. Alternate Interior angles are congruent. 3-Corresponding angles are supplementary 4-Consecutive Interior angles are complementary. 5. Which equation represents a line perpendicular to the line y=2x-3 and goes. through (-2,-4)? 1) y=2x 3 y=-x-5 6. Which equation represents a line that is parallel to the line whose equation is 2x + 4y = 12? (1) 2x = 12 3) y = 2x 7. Given the diagram, pick the best choice. F E H G HD 1) EB 3) EA HC M 62⁰ Z 45° 58° 2 A B 8. Given the diagram: Name which two segments must be parallel and why? с H 115 2) y=-x-4 4) y=x-4 2) x = 12 4) y = -x + 6 45 9. Find m<1 and the m<2. W 2011 M²2= 2DEA || HD 4) EA HC 61° R 59⁰ CA HR силна M-1 = 1200 D is you?
Transcribed Image Text:of 10 20 30 Ms. Bianco Geometry 1. In the accompanying diagram, lines a and are parallel, and lines c and d are transversals. be 30° 3) 150° 34 A Which angle is congruent to angle 8? 1) 3 (2) 4 4) 6 3) 5 2. In the accompanying diagram, parallel lines AB and CD are intersected by transversal at points G and H, respectively, mLAGH=x+15, and mzGHD = 2x. EX B (x+15) G (2x)" Which equation can be used to find the yalue of x? (1) 2x+x+15=90 2) 2x+x+15= 180 3) 2x= x + 15 4) 2x(x + 15) = 0 3. The accompanying diagram shows a football player crossing the 20-yard line at an angle of 30° and continuing along the same path. 5 6. End Zone 130€ D B 0 10 20 30 What is the measure of angle B, where the player crosses into the end zone? 2) 60° 4) 180° Name Eduendo larges Nov 2022 4. A transversal intersects two lines. Which condition would always make the two lines parallel? 1-Vertical angles are congruent. Alternate Interior angles are congruent. 3-Corresponding angles are supplementary 4-Consecutive Interior angles are complementary. 5. Which equation represents a line perpendicular to the line y=2x-3 and goes. through (-2,-4)? 1) y=2x 3 y=-x-5 6. Which equation represents a line that is parallel to the line whose equation is 2x + 4y = 12? (1) 2x = 12 3) y = 2x 7. Given the diagram, pick the best choice. F E H G HD 1) EB 3) EA HC M 62⁰ Z 45° 58° 2 A B 8. Given the diagram: Name which two segments must be parallel and why? с H 115 2) y=-x-4 4) y=x-4 2) x = 12 4) y = -x + 6 45 9. Find m<1 and the m<2. W 2011 M²2= 2DEA || HD 4) EA HC 61° R 59⁰ CA HR силна M-1 = 1200 D is you?
m HA 78" 122* A 1) || n 3) m|| p P B 10. Given the diagram, which statement is true? 9 112 11. Given the diagram, pl|q: Find the measure of the missing angles: (2) ep 4) mn m 62° fafe. 65° 62° 66 A 1/2 13 49° m< 1=124 m<2=66 m <3=124 m<4=\31 Use the diagram below for # 12 and 13: n 88 12. Write the Theorem (in your own words is allowed) that can prove why pl|g. 97 13. Write the inverse of that Theorem to prove why m is not parallel to n. 14. Find m<1 and the m<2 С 68 9 2 15. Find the distance from Point A(-3, 3) to the line y = 2x -1. Given 21 23 Prove j | k Statements 1) 2123 2) 21 = 22, 3) 22 23 16) 17) 18) 1. 14 2 --++ 3 45 j k 19. Find Point P along the directed line segment AB, if the ratio of AP:PB = 3:1. A(-7, 0) and B(5,8) - Reasons 1) Given 2) (16) 3) (121 4) (18) htt ELLIT *** 20. Write the equation for the perpendicular bisector of AB. A(-1, 3) and B(5, 5) -- is you?
Transcribed Image Text:m HA 78" 122* A 1) || n 3) m|| p P B 10. Given the diagram, which statement is true? 9 112 11. Given the diagram, pl|q: Find the measure of the missing angles: (2) ep 4) mn m 62° fafe. 65° 62° 66 A 1/2 13 49° m< 1=124 m<2=66 m <3=124 m<4=\31 Use the diagram below for # 12 and 13: n 88 12. Write the Theorem (in your own words is allowed) that can prove why pl|g. 97 13. Write the inverse of that Theorem to prove why m is not parallel to n. 14. Find m<1 and the m<2 С 68 9 2 15. Find the distance from Point A(-3, 3) to the line y = 2x -1. Given 21 23 Prove j | k Statements 1) 2123 2) 21 = 22, 3) 22 23 16) 17) 18) 1. 14 2 --++ 3 45 j k 19. Find Point P along the directed line segment AB, if the ratio of AP:PB = 3:1. A(-7, 0) and B(5,8) - Reasons 1) Given 2) (16) 3) (121 4) (18) htt ELLIT *** 20. Write the equation for the perpendicular bisector of AB. A(-1, 3) and B(5, 5) -- is you?
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