thanks 5. Trapezoid ABCD has diagonals AC and BD. If mZABD = 5x-10 and mZCDB =...

Question

Question

thanks

Answer 1

Answer #1

In the trapezium ABCD, AB is parallel to BD. Therefore mABD = mCDB (alternate angles between 2 parallel lines are equal).

Therefore 5x - 10 = 3x + 2

Solving, we get 5x - 3x = 10 + 2

2x = 12

Therefore x = 6

Answer 2

Similar Homework Help Questions

How do I find x? The area of□ABCD is 100 in? and AC-2-BD. Find the diagonals....

How do I find x? The area of□ABCD is 100 in? and AC-2-BD. Find the diagonals. x 2x AC= 2x
Complete the proof for proving that the diagonals of an isosceles trapezoid are congruent 19 Given:...

Complete the proof for proving that the diagonals of an isosceles trapezoid are congruent 19 Given: Trapezoid EFGH with FE = GH F-b, c) G(b, c) Prove: EG = HF E(-a, 0) 01 H(a,0) Proof: By the Distance Formula, EG = a. ? and HF = b._? By the transitive property of congruence, EG = HF. Therefore, EG = HF by the definition of congruence. Fill in the blank for space a. Proof: By the Distance Formula, EG = a....
VA $ d B ABCD is not a rhombus because the slope of the diagonals are...

VA $ d B ABCD is not a rhombus because the slope of the diagonals are opposite reciprocals. ABCD is not a rhombus. The lengths of AD and BC is 4.1 units but the lengths of AB and DC is 6 units. ABCD is a rhombus because sides AB and DC have a slope of 2 and sides BC and AD have a slope of zero. The opposite sides of a rhombus must have the same slope to be parallel....

5. Assume Euclidean geometry. Prove the following: if a trapezoid has congruent legs i.e. the non-parallel sides have the same length), then the angles at the base of the trapezoid are congruent 6.As...

5. Assume Euclidean geometry. Prove the following: if a trapezoid has congruent legs i.e. the non-parallel sides have the same length), then the angles at the base of the trapezoid are congruent 6.Assume Euclidean geometry. Let ABCD be a trapezoid with ADI BC and with AB-AD. Show that BD bisects angle LABC. 5. Assume Euclidean geometry. Prove the following: if a trapezoid has congruent legs i.e. the non-parallel sides have the same length), then the angles at the base of...
euclidean geometry step by step process 1. (7 pts) Prove that the diagonals of a rectangle...

euclidean geometry step by step process 1. (7 pts) Prove that the diagonals of a rectangle are congruent. 2. (18 pts) In the diagram below, prove that M is the midpoint of AC and BD if and only if ABCD is a parallelogram. 3. (9 pts) Use #1 and #2 above to prove that the diagonals of a square cut each other into 4 congruent segments. Use #3 to prove that the diagonals of a square are angle bisectors of...
Kindly answer the question neatly. Thanks. In AABC, AB = AC and BC = 6 cm....

Kindly answer the question neatly. Thanks. In AABC, AB = AC and BC = 6 cm. D is a point on the side AC such that AD = 5 cm and CD = 4 cm. Show that ABCD – AACB and hence find BD.

What is the value of x in the isosceles trapezoid below? L M 7x 2x +...

What is the value of x in the isosceles trapezoid below? L M 7x 2x + 5 o N 7 5 O 2 0 1 1 What is the value of y in the kite below? (4x + 13) (- 9) (5x - 15) 9 32 94.5 49.5 What is the value of x in the kite below? (4x + 13) (y - 90° (5x - 15) 28 9 125 20 stack C D with bar on topis the midsegment...
7 Which of the following could you conclude using coordinate geometry? A. AEFG is an equilateral...

7 Which of the following could you conclude using coordinate geometry? A. AEFG is an equilateral triangle. B. m.E = 120 C. m F = 99 D. m.E= m F. ОА OB Ос Given: Parallelogram ABCD Prove: AC bisects BD, and BD bisects AC. Plan: Place the parallelogram in the coordinate plane with a vertex at the a._? and a side along the b._? . Since midpoints will be involved, use multiples of c. ? to name coordinates. To show...
Please help me with numbers 1-5 thanks! Simplify the expression. 1) 9x-2-2x+ 5 A) 10 в)...

Please help me with numbers 1-5 thanks! Simplify the expression. 1) 9x-2-2x+ 5 A) 10 в) 10x C) 11x +3 D) 7x +3 2) 7x -4x -x 12 A) 3x - 12 B) 3x -x-12 C) 2x -12 D) 3x -13 3)-12 -(5y-10) A) -5y +2 B) -5y-2 C) -5y+ 22 D) -5y-22 4) (8x 13) (3x -1) A) 5x 12 4) B) 6x 13 C) 6x- 12 D) 5x 13 5) 5) -(10v -6)+ 10(2v+ 10) A) 10v+ 106...

2. The uniform 50-kg bar is held in equilibrium position by cords AC and BD. Determine...

2. The uniform 50-kg bar is held in equilibrium position by cords AC and BD. Determine the following immediately after cord AC is cut. a) Draw FBD of the bar. (5 points) b) Write equations of motion and kinematic relations. Identify how many equations and how many unknowns. (10 points) c) Determine the tension in BD and the angular acceleration of the bar immediately after AC is cut. (10 points) À 3 m-