A In right AABC with right 2C, AD bisects ZBAC. If AC = 6 and DC = 3, find BD and AB. B C

Q: In the diagram of AABC below, points D and E are on sides AB and CB respectively, such that DE AC.…

A: In △ABC,point D and E are on sides AB and CB respectively,such that DE∥AC       If EB is 3 more…

Q: Right AABC with mZC = 90° and m/BAC = 60°; point D on BC; AD Given: bisects ZBAC and AB = 12 Find:…

A: In triangle ABC We know the sum of angles of a triangle is 180∘ We have, ∠C=90∘ and m∠BAC=60∘…

Q: If B = 29.5°, C = 64.5°, and a = 18.8, find the area of AABC %3D %3D

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

Q: Find the Hhe Teast square doluticn E of -6 -7 La %3D ->

A: From A we can write AT = 100010 ATA = 100010100100 = 1001

Q: Find the of triangle ABC given A = 110°, C = 32°, and c 240 cm. %3D %3D

A: By using the property, sum of all the interior angles of a triangle is 180° we get, ∠B=38°

Q: Given: BD bisects ∠ABC and AB ≅ BC . Prove BD bisects ∠ADC

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Q: 5. In the figure below, AB = 12 inches, ED = 9 inches, AF C is the midpoint of DB. Also,…

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Q: ABCD is an isosceles trapezoid with median MN. If DC = 3x, AB = 2x², and EF = 7, then: %3D ME = %3D…

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Q: What value for x would guarantee that the quadrilateral shown is a parallelogram? 2x Зх + 2 5x-6 2x…

A: We will find the value of x for which the given quadrilateral is a parallelogram.

Q: Find the measure of AB if C is the midpoint of AB , AC = 6x – 20, and CB = 4x – 2. 13. %3D -

A: Given data, C is mid-point of AB¯ AC = 6x-20 unitsCB = 4x-2  units

Q: in the figure below, allbllcand B is the midpoint of AC and E is the midpoint of DF. If B = 2x + 3y,…

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Q: In the diagram below, AB = AD and BC = CD. Use the Perpendie Bisector Theorem to prove that AC 1 BD.…

A: Given AB is congruent to AD Also BC is congruent to CD First we check the triangles ADC  and ABC…

Q: ABCD is a parallelogram and M and N are the midpoints of BC and CD respectively. AM and BN intersect…

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Q: Find the area of the parallelogram that has two adjacent sides u = 5i + 4k and v i+2j + 2k

A: Area of parallelogram is obtained by the magnitude of cross product vectors of two adjacent sides.

Q: In the given figure, ABCD is a parallelogram in which E is mid-point of AD and AM//EC. AM and DC and…

A: Given- In the figure ABCD is a aprallelogram in which E is mid point of AD and AM/EC. AM and DC are…

Q: Given: AB BC, LA 2C and BD bisects ZABC. Prove: AABD= ACBD.

A: ASA criteria to show two triangles are congruent.

Q: Use the polygon method to get the resultant of the following displacement: (a) 5.0 km to the east,…

A: Given displacements: a5 km to the eastb7 km at 40° north of eastc8 km at 60° north of westd6 km at…

Q: :Find the four angles of a cyclic quadrilateral ABCD in which <A =(2x-1)°, <B = (y+5)°<C=(2y+15)°…

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Q: Given: AE bisects BD; AB||DE Prove: AABC=AEDC

A: Given Data: The line segment AE bisects line segment BD. AB is parallel to DE. The figure given in…

Q: Given: In right AABC, AD bisects ZCAB and BF bisects ZABC. Find: MZFED D

A: The figure is given below: AD bisects &lt;CAB and BF bisects &lt;ABC. ABC is a right angled…

Q: Given: BD 1 AC, BD bisects ZABC Prove: AABD == ACBD A D

A: Definition used -          ASA congruence rule -  If two angles and included side of one…

Q: 9. If CE = 6x – 1 and EB = 2x + 11, Use parallelogram ABCD for 9 and 10. find CB. 47 .B

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Q: ABCD is a parallelogram. Find the 6x length of side AD. (5y + 14)° (7y-12) D 4x +12 Since opposite…

A: Explanation and Solution is given below....

Q: B ABCD is a parallelogram with AD = 3x + 17, DC = 4x - y, BC 2y, and BA = 4. %3D %3D %3D %3D What is…

A: In parallelogram, opposite sides are equal and parallel to each other. Perimeter is the sum of…

Q: GIVEN: AB = CB, AD = CD. PROVE: DB bisects ADC. A D. B)

A: For the given triangle, AB≅CB  and  AD≅CDwe need to prove DB bisects ∠ADC

Q: In the diagram below, if B is the midpoint of AD and AB = 11, find BD. %3D B D О 25 О 1 O 22 O 15

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Q: Classify AABC by its angles if mZA = x, mZB=2x , and m/C = 3x. right isosceles equilateral obtuse

A: By using property of triangle

Q: In rhombus ABCD, with diagonals AC and DB, AD- 1O. 6/ 10

A: Since we have been given that in rhombus ABCD, we have been given that the length of diagonal AC¯…

Q: Find the length of side BC of the quadrilateral ABCD when ZC = 40°, AB = 16cm, and AD = 12cm. %3D…

A: Solution: As we can see in the diagram In Quadrilateral there are two triangles ∆ADB &amp; ∆DBC

Q: BD bisects LABC and D lies on AC. If AB = 6, %3D BC = 14, and AC = 14, find AD. (A) 6 (В) 8.4 (С)…

A: Consider the diagram given below as per the given information in the triangle, here the objective…

Q: Find the length of side BC of the quadrilateral ABCD when 2C = 40°, AB = 16cm, and AD = 12cm. B C…

A: The figure of the quadrilateral is given by To evaluate: The length of the side BC.

Q: Frind THE PERIMETER OF RHOMBUS ABCD WITH DIAGONALS AC AND BD INTERSECT AT poiNTE IF BD= 24 AND D AC=…

A: In the above question we have to find the perimeter of the Rhombus ABCD.

Q: In the parallelogram ABCD given below, find ZA, ZB, 2C and <D. D 2x

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Q: 11) Given that BE bisects ZABD, find mzC. D. EBD = E C= 66 (x+7) B. (x+22)° |

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Q: Assume that a = b + d. a. Show that the trapezoid is isosceles. b. Prove that its diagonals are…

A: Given  Here assume that a = b + d.

Q: ABCD is a parallelogram. If AB = 9x + 27, BC = 6x+ 12 and DA = -2x + 36, find both x and the length…

A: Given : ABCD is a parallelogram. AB = 9x+27BC = 6x+12DA = -2x+36

Q: Giveno AABC Ghot shown) is isosceles with LABC m ABC =m LC=72° i BD' bisects and AB-\ |Find=BC

A: Solve for BC

Q: A В 丰 E D 丰 C. Note: DB and AC are segments.

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Q: Identify the segment bisector of 18. Then find AB. AB 3x+18 7x+2 M. MF AB= 60 FM AB 30

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Q: The following is an isosceles trapezoid. If AP = 7.5 feet and PC = 2.3 feet, find the length of the…

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Q: In AXYZ. ZZ = 67°, x = 85 ft, y = 95 ft and z = 99.7 ft. Find the area of the triangle. || %3D O…

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Q: A In right AABC, mZB 30°. Also, 12V3 and AD bisects AB ZBAC. Find BD. B D

A: Given, in right △ABC, m∠B=30∘, AB=123

Q: Given: AB BC and D is the midpoint of AC. Prove: BD bisects ZABC.

A: Concept used: SSS congruency: If three corresponding sides of the two triangle ABC and PQR are equal…

Q: Find the area of the parallelogram that has two adjacent sides u=-3i+2k and v=i+j+2k

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Q: Find the length and midpoint of AB A= -3 B= 21

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Q: - AABC is isosceles. If BD is the 1 bisector to base AC and AC = 3x+ 6, find AD. %3D

A: Isosceles triangle: - A triangle with two sides of equal length is termed a triangle. Let's…

Q: Let the points B, C be perpendicular to the bases O and A (13,0), respectively, on the line 5x-12y +…

A: Given equation of line: 5x-12y+65=0 Coordinates of point A: (13,0)  Coordinates of point O: (0,0)

Q: ABCD is a rhombus. ABC=140°, and AB= 20 cm. Calculate (a) AC (b) ACB

A: