C) ZACE & ZDCE D) ZBCD & ZDCB F 2. Determine the pair of vertical angles. B E A) ZDCF & ZACB B) ZBCF & ZACE D) ZBCA & ZECD C) ZFCD & ZACE

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: 5. If two lines are cut by a transversal, which of the following conditions is necessary to say that…

A: When two lines are cut by a transversal, the angles which occupy the same relative position are…

Q: 3. Show that if A = 3a, + 2ay – az, B = 4ax – 8a, – 4a, and C = 7ax – 6ay – 5a,, then A, B and C…

A:

Q: III. Prove : If two lines are cut by a transversal so as to form a pair of equal alternate interior…

A:

Q: For each inscribed quadrilateral, determine the angle measures. 8. Y (8x + 21) mZX= 9. m2C = (10x -…

A:

Q: Let the line DE be a line parallel to the base BC of triangle ABC. Show that if the line AF divides…

A: Given,DE∥BCAF bisects BCLet intersection of AF with DE be 'x'

Q: If ray BD bisects angles ABC, then m angles ABD =1/2(?)

A:

Q: Which statement about these congruent triangles is NOT true?

A: Here we have to determine which statement about these congruent triangles is NOT true.

Q: State the theorem that proves that the pair of triangles are congruent. 2. 1. 3. 4. 5.

A: We have to give the names of congruency with which the given triangles are congruent.

Q: 7. Given that a triangle is equilateral, prove that one of its angle bisectors bisects the triangle.

A:

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

A:

Q: 1. If the bisectors of angles of a quadrilateral enclose a rectangle, then show that it is a…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: In Exercises 9 and 10, classify the triangle (not shown) by considering the measures of its angles.…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: If two figures are similar, can you conclude that corresponding angles are congruent? Why or why…

A: We will find which option is correct as following.

Q: Given:WU =GI Statement Reason UV 쓸 IH ZU =ZI Prove:AWUV=AGIH V U H.

A:

Q: Determine if the two triangles are congruent by ASA, AAS, SSS, SAS, or not enough information. 9)…

A: Triangles are given we have to check congruent property.Note :If multiple question are given we have…

Q: %23

A:

Q: Prove: If the sum of the angles of a triangle is a constant n, then n = 180 and thus the geometry is…

A: Consider a triangle:   Here, ∠A+∠B+∠C=n (constant)……1

Q: Which statement is false? A parallelogram is a rhombus if its diagonals are congruent. O A…

A: For a parallelogram to be a rhombus, all the sides of parallelogram should be equal. Whereas,for a…

Q: In the diagram, AB || CD and AD || BC- B D. When a transversal crosses parallel lines, Choose.…

A: Given a figure, such thatAB¯∥CD¯ and AD¯∥BC¯. Also, AC is a transversal. Then, alternate interior…

Q: Which theorem justifies this method of construction? A If two lines in a plane are cut by a…

A:

Q: A carpenter is assembling triangular support structures for a deck. The supports need to include a…

A: This question is related to triangles,  we will solve it using Pythagoras theorem.

Q: ZA and ZB are supplementary angles. If mZA = (7x – 15)° and m ZB = (2x – 3)°, then find the measure…

A: Then we solve for x.

Q: 3. Show that if A = 3a, + 2a, – a, B = 4a, – 8a, – 4a, and C = 7ax – 6a, – 5a,, then A, B and C form…

A:

Q: ABCD IS A SQUARE AND BD ITS DIAGONAL PROVE THAT ANGLE ABD IS CONGRUENT TO ANGLE CDB

A: Given: A square ABCD with diagonal BD   To prove: ∠ABD is congruent to ∠CDB i.e. ∠ABD≅∠CDB

Q: 3. 5. Name a pair of vertical angles. Prove vertical angles congruent by using the definition of…

A: Recall: Vertical angles are a pair of no-adjacent angles formed by the intersection of two straight…

Q: Find a · b if lal = 10, |b| = 5, and the angle between a and b is n/4. %3D

A: Given that: a=10 b=5 Angle between a and b = π/4 To calculate the dot product of a and b.

Q: Given that AD and AB are congruent, and DC = BC, use a triangle congruence criterion to prove that…

A: Prove that Angels DAC and BAC are the same size

Q: (4) Prove that if two altitudes in a triangle are congruent, then the triangle is Isosceles.

A:

Q: Lines l and m are intersected by transversal t, and l || m. By which postulate or theorem is ∠4≅∠8?…

A:

Q: 4. If a triangle has at least two congruent sides, then it is an isosceles triangle. Statement…

A:

Q: of

A:

Q: Can you conclude that the parallelogram is a rhombus, a rectangle, or a square? What else is a valid…

A: Rhombus; because the diagonal bisects a pair of opposite angles. Also, by ASA and the converse of…

Q: Prove Corollary 5.7:  If two parallel lines are cut by a transversal, then each pair of…

A: Given problem:- Prove Corollary 5.7: If two parallel lines are cut by a transversal, then each pair…

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: If a pair of sides in a quadrilateral is both congruent and parallel, then the quadrilateral is a…

A:

Q: Given:XW=XY Statement Reason WZ=YZ Prove: AXWZ -ΔΥΥΖ w Y

A: (SSS Postulate): If each side of one triangle is congruent to the corresponding side of another…

Q: Prove that if a triangle has two congruent angles, then it is isosceles.

A: Triangle with two equal sides is called anisoceles triangle.To prove: If a triangle has two…

Q: In the diagram, ABCD is a square with four congruent sides and four right angles. R, S, T, and U are…

A: Given: ----------------------------------------------------------------------- To prove:

Q: what is the length of segment AB with points A(2,4) and B(3,6).  Use √ if necessary.

A:

Q: 20. Is every ray part of an angle, not including straight angles? A. Only if the ray becomes a line.…

A:

Q: Given: ABCD is a parallelogram with AB parallel to CD and AD parallel to BC. Diagonal AC is…

A:

Q: 3. Given AABC AJFK, list all of the congruent angles. * ZB = ZJ, 2C= LF, LA= LK ZC = LF, ZA ZK ZB =…

A: Given: ∆ABC~∆JFK

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

A:

Q: Prove that angle B is congruent to C and angle BAD is congruent to D.

A: Solution is attached below

Q: In kite HJKL, HJ =HL and JK=LK. If measure of angle J = 90 degrees, HJ=24, and JK= 10, find the…

A: Given: HJ=24  and  JK=10. Area of Kite = Area of ⊥△HJK + Area of ⊥△HLK=12×24×10+12×24×10=240.

Q: If a pair of sides in a quadrilateral is both congruent and parallel, then the quadrilateral is a…

A: The correct option is 1st option i.e. True i.e. if a pair of sides in a quadrilateral is both…

Q: Line CF is perpendicular to segment AB, and CF bisects AB. Points D and E are points on CF. E B…

A:

Q: Suppose that A, B, C, D and A′, B′, C′, D′ (in those orders) form the vertices of convex…

A: Consider the given: Given:AB=A'B'In a parallelogram, parallel sides have equal length.In…

Q: Determine whether the triangles are similar. If they are type "SSS", "SAS", or “AA" for the…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.