Which of the following must be true?(I) If two lines form congruent adjacent angles, then the lines are perpendicular.(II) If two lines are perpendicular, then they form congruent adjacentangles.(III) If the exterior sides of two adjacent obtuse angles are perpendicular,then the angles are complementary.

Q: Show that one of the lines givenby 6x² - xy - 12y² = 0 coincides with one of %3D the lines givenby…

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Q: Find the angle from the first line to the second: x – 4y = 7 & 3x +5y = 4

A: The given lines are x-4y=7  and  3x+5y=4. Rewrite them as y=14x-74  and  y=-35x+45. Thus, the slopes…

Q: A, B, and C are three points on a line. AC = 8, ВС %3 4, and AB = 12. Which point must be between…

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Q: What is a reasonable approximation for angle B if the ratio of the adjacent leg divided by the…

A: Triangle Question

Q: Which of the following is the correct last step in constructing a perpendicular line to another…

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Q: State whether the following statements are correct or not:Give a short explanation for each.

A: There are multiple questions in the image. So, I am answering the first question only, that is…

Q: Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with…

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Q: Use the diagram of parallel lines cut by a transversal to answer the question. 3 4 9. How can it be…

A: Given-  The diagram of parallel lines cut by a transversal line To Find- How can it  be proven that…

Q: The figure to the right shows two parallel lines intersected by a transversal. Let x=118°. Find the…

A: We will use various properties of angles and parallel lines to find the measures.

Q: What is the angle between two lines if the equations of the lines are y=3x−2 and −6x+2y+7=0. Group…

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Q: Use the methods of chapter twelve to find the angle between the lines y = -3 and 5x - 2y = 10.

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Q: Use the methods of chapter twelve to find the angle between the 3x lines y 3 and 5x – 2y = 10. - 4

A: In the above question we have given the equation of two lines and we have to find angle between…

Q: 5. Find the bisectors of the angles between the lines, 2x-y 1 and 11x +2y= 5.

A: Given, lines, 2x-y=1,  11x+2y=5 now find angle bisectors between lines we know the formula of…

Q: Which of the following is the correct definition for perpendicular lines? O Lines that intersect and…

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Q: Which of the following is the correct last step in constructing a perpendicular line to another…

A: Last step for constructing the perpendicular line to another line is make two equal arcs from any…

Q: 1. Hannah is trying to justify to her geometry class that the 2 lines she drew, line a and line b,…

A: The points are given below.

Q: What value of x would prove that lines /and m are parallel?

A: Given that lines m and l are parallel.

Q: 2. Find the angle between the lines 3x – 5y = 11 and 6y – 10x = 3.

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Q: 15. Find the angle between the straight lines I, and l, which are defined by x-2 y+1 =1-z. 4:x=1+2t,…

A: The angle is, 85.75°  The detailed solution is as follows below:

Q: If two lines intersect and form a right angle, which of the following is TRUE? The two lines ______…

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Q: At what point on the line y = b does the line segment from (0,0) to ( a,0) subtend the greatest…

A: For two real numbers their average value is given by sum of two numbers divided by number of…

Q: 4. In this figure, lines a and b are intersected by line t.

A: Answer: ∠1 ≅∠3  .

Q: At what point on the line y = b does the line segment from (0,0) to (a,0) subtend the greatest…

A: Consider the given line y=b  and the points (0,0) and (a,0)

Q: Which of the following is the correct second step in constructing a perpendicular line to another…

A: To construct a perpendicular line to another line first we take a point P and then draw an arc on…

Q: Show that the pair of bisectors of the angles between the straight lines (ax+by)2=c(bx-ay)2, c>0 are…

A: TO  PROVE-  The pair of bisectors of the angles between the straight lines   (ax+ by)2 = c( bx-ay)2,…

Q: Z1 and 2 are supplementary. If two angles are supplementary, then the sum of their measures is 180.

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Q: A yacht is travelling on a course parallel to and 80 kilometers from the straight shoreline of…

A: Given,         A yacht is traveling on a course parallel to and 80 kilometers from the straight…

Q: 4) 3. Find either angle between the lines described by 2 y = x + 3 and -3x + y + 18 = 0

A: Angle between the lines θ=tan-1m1-m21+m1m2 m1 and m2 are the slope of the lines let the line l1:…

Q: 2. Which of the following statements is/are ALWAYS true about an angle in standard position? 1- Its…

A: Given: To find the correct statement about the angle in standard position.

Q: 59 Lines s and t are parallel. 1 3 4 7 8. Which statement about the angles formed by these lines is…

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Q: If a point is equidistant from both endpoints of a line segment, then it is on the perpendicular…

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Q: 3. Find the angle from the first line to the second: x – 4y =7 & 3x +5y = 4

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Q: Select all of the following ways that you can determine two lines are parallel. O If the same side…

A: Refer to the figure shown below:

Q: Which of the following is the correct last step in constructing a perpendicular line to another…

A: To make a perpendicular line to a given line,

Q: Indicate whether the statement is true or false. If ∠1 and ∠2 are vertical angles with m∠1 = 4x − 11…

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Q: 9. Which line is parallel to line CF?

A: Given:  To find: Which line is parallel to CF

Q: Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with…

A: According to given, Benjamin tells Alicia that she was not being very accurate. He says that the…

Q: A land surveyor places two stakes 500 ft apart. He locates the midpoint between the two stakes and…

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Q: 1. Name all lines parallel to DE 2. Name all lines parallel to AB  3. Name all parallel lines

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Q: If you were to pick any side in a rectangle, it would always be parallel to its opposite side! O…

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Q: Indicate whether the statement is true or false. If B is the midpoint of line segment AC and AB =…

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Q: Given  m∠14+m∠3=180° . Which lines are parallel, if any must be parallel, based on the given…

A: Given  m∠14+m∠3=180° .

Q: 8. A plane must begin its descent when it is 80 feet above the ground and 250 feet from the airport.…

A: Given:- A plane must begin its descent when it is 80 feet above the ground and 250 feet from the…

Q: Once the construction is complete, which of the reasons listed contribute to proving the validity of…

A: According to question Once the construction is complete, which of the reasons listed contributeTo…

Q: If a transversal is perpendicular to one of two parallel lines, then it's to the other line.

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Q: Use the methods of chapter twelve to find the angle between the 3x lines y = * 3 and 5x – 2y = 10. 4

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Q: Create a table showing the differences of Euclidean, Elliptic and Hyperbolic Geometry according to…

A: Given:     Euclidean Geometry Elliptic Geometry Hyperbolic Geometry      It has zero curvature…

Q: Two congruent triangles are one result of a line that is parallel to one side of a triangle and…

A: The given statement is

Q: Line a is parallel to line b by the Converse of the Alternate Interior Angles Theorem. Line c is…

A: Given: m angle 7+ m angle 11=180°.