8. Lines p and q are intersected by transversal t as shown. What value of x proves that linesp and q are parallel?

Q: The Converse of the Corresponding Angles Theorem states that if twO coplanar lines are cut by a…

A: The converse of the corresponding angles theorem states that if two coplanar lines are cut by a…

Q: Prove that for any two points A and B, line segment AB = line segment BA

A: To prove that for any two points A and B, line segment AB = line segment BA.

Q: Which statement is true if mi n?

A: We have to find the statement is true if m is perpendicular to n  We know that ,  If m1 is…

Q: 7.10 Suppose that a line l contains a point D that is in the inside of a triangle ABC. Then show…

A: Given that a line l contains a point D that is in the inside of a triangle ABC.

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: 2.12. Karen knows that when two parallel lines are cut by a transversal, alternate interior angles…

A: Find your answer below. Let PQ and RS be tow parallel lines and MN are intersecting line. Then, the…

Q: If m23 = 105°, what is the m/21 that will prove that lines p and r are parallel? %3D 12 56 4/3 8 7…

A: Given: m∠3=105° To find m∠21 such that line p and r are parallel. Solution: If line p and q are…

Q: Exercise no. 5 Given: Line l and line m are perpendicular 22 26 Prove: 25 26

A: Given:  Line l and line m are perpendicular.∠2≅∠6 To Find: To prove ∠5≅∠6

Q: Complete the proof to prove line m and n parallel given 48 = (4x + 25) and6 (5x + 12) and r 13 2 3/6…

A:

Q: Wishing to prove that / and m are skew lines. John began an indirect proofby supposing that / and m…

A: Given that l and m are skew lines.  Skew lines mean the lines which do not have the same slope,…

Q: Which of the following conjectures is true for all cases about the lines in the image shown? A. If…

A: If two lines are cut by a transversal and,  if , Corresponding angles are congruent(i.e. equal),…

Q: 8) If point Q is between point P and point R, PQ = 2, and PR =7, what is QR?

A: We know that PR=PQ+QR Since multiple questions are asked ,I am answering first question

Q: B || Given: Congruent parts as marked in the diagram. Prove: B = LF (Hint: First draw two auxiliary…

A: Step 1: Connect AC and AE from A to C, and A to E respectively. Step 2: Consider triangles ACD and…

Q: Given: line m is the I bisector of BJ Prove: line m contains the center of OC

A: radius congurent

Q: Let ABCD be a rectangle. The perpendicular bisector of the line segment BD intersects lines AB and…

A: let ABCD be a rectangle with vertex B at origin. let EF is the perpendicular bisector of line BD…

Q: Parallel Lines m and n are cut by Transversal t as shown.

A:

Q: If ON=7x-5, LM = 6x + 3, NM =x-4, and OL = 2y + 5, ind the values of x and y given that LMNO is a…

A:

Q: Suppose that C= A-B. Under what circumstances is the length of C equal to the sum of the lengths of…

A: First option is correct. When A and B point in opposite directions.

Q: 5. In parallelogram QRST, if mZT =115° , then mZR=? T R

A:

Q: Given a lc and blc, what can you say about a and b? A. alb, because if two lines are perpendicular…

A: Explanation

Q: perpendicular to AB, and in traingle XYZ, lines ZW is perpendicular to XY.      If AB = XY and CD =…

A: Given query is to find the correct option for the triangle.

Q: Which construction of parallel lines is justified by the theorem “When two lines are intersected by…

A: *to find:- to find the correct diagram which justifies the given theorem.

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

A: Given,           A, B, and C are three points on a line. AC=8, BC=4, and AB=12.

Q: The Converse of the Corresponding Angles Theorem states that if two coplanar lines are cut by a…

A: The converse of the corresponding angles theorem states that if two coplanar lines are cut by a…

Q: If AB is not parallel to CD, what is mZB? 134° mZB = Submit

A:

Q: Prove that if a line bisects one side of a triangle and is parallel to a second side, then it…

A: Basic proportionality Theorem of triangle is define as if a line drawn parallel to one side of…

Q: Complete the proof to prove line m and n parallel given 8 = (4x + 25) and6 = (5z + 12) * and z = 13…

A:

Q: When two parallel lines are cut by a transversal, 3 and 26 are a pair of alternate interior angles…

A:

Q: 4. The line segment that joins the midpoints of the nonparallel sides of a trapezoid is parallel to…

A: A trapezoid is a quadrilateral with one pair of parallel sides. Consider the figure given below:…

Q: The perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a…

A:

Q: Complete the proof to prove line m and n parallel given 8 = (4x +25) and6 (5x + 12) and z = 13 m 3/6…

A: 1. The Statement 1 will be  ∠8=4x+25° and ∠6=5x+12° and x=13 and the reason will be given. 2. The…

Q: Use the figure below and the given information to determine if lines m and n parallel. Figure not…

A: STEP 1  Consider the below-given figure   Given ∠ 3 = (15x + 22)o           ∠ 1 = (19x-10)o…

Q: 2. In Figure 3.9D, consider the hexagon to be ABQCEF. What lines are now concurrent?

A: ABCDEFA is a hexagon.  The Hexagon is circumscribing a circle (the conic section).  As per…

Q: Line p is tangent to ⊙C at A, and line q passes through C. Lines p and q intersect at B. If…

A: Given that-  There is a Circle having center c. Line p in tangent to circle which touches it point…

Q: Suppose that two lines Re((1+i)z+2i+3) = 0 and Re(2-bi)z+5) = 0 are perpendicular. then b=.

A:

Q: 2. Determine the measure of the indicated angle from the figure on the right; given lines l and m…

A: Solve by properties of angles

Q: 1 The diagram below shows the construction of AB ( through point P parallel to CD. P B C Which…

A: First we need to recognize the angles which are used in construction and then opt for the respective…

Q: We have learned how to "drop a perpendicular" from a point to a line using our unruled straightedge…

A:

Q: Prove that the length of common chord of the two circles x + y² + 22x + c = (2² -c)(µ² +c) 2² + µ? O…

A: We will prove that the length of the common chord is the given term as following.

Q: If B, I, and T are distinct points of a line and point I is between point B and T, if BI = 5 mm and…

A: Given- If B, I, and T are distinct points of a line and point I is between point B and T, if BI = 5…

Q: prove that if A is a point on the perpendicular bisector of line segment B-C  then A is the same…

A: Prove that if A is a point on the perpendicular bisector of line segment B-C  then A is the same…

Q: Prove: If two lines cut by a transversal form a pair of supplementary exterior angles on the same…

A:

Q: 7. Which of the following is not a line segment? DE CD KL AB

A: HereCDKLABare all line segment.Since DE→ is vector , DE→ is not line segment

Q: Find the measure of angles 1-7 given that lines m and n are parallel and t is transversal.

A:

Q: In APQR, PR is extended through point R to point S, mZPQR = (3x + 12)°, mZRPQ = (3x – 11)°, and…

A:

Q: 3. Solve the given line ar cystem by back cub ctitution. 2x2 143 = 2 「メ a. %3D 1人 = -5

A:

Q: (a) is the pazint (2,-2, 1s The point (2, I, 5) on the ime? explain ) fiad he paint where the line…

A: This is a problem of 3D geometry and parametric forms of straight lines in 3D.

Q: If a triangle has two congruent sides and is not right, prove that the line joining the feet of the…

A: