For regular hexagon ABCDEF, the length of side AB is 4 in. Find the exact length of a) diagonal AC. b) diagonal AD. D.

Q: In AABC, D is the midpoint of BC. If the sides AB, BC, and CA have lengths 4,8, and 6, respectively,…

A:

Q: For another proof of the Pythagorean theorem, consider a right triangle ABC (with right angle at C)…

A: Since, according to our guideline we have to answer only first question. I am answering first one.…

Q: If A ABC S A DEF, and mZA = (x + 30)°, m2C = 45°, and mzD = %3D 80°, what is themZA? (Hint: Sketch…

A: The question mentions that △ABC≅△DEF. The measure of angles of two triangles is given as,…

Q: In quadrilateral ABCD (Figure 8.20), the lengths of the sides and of diagonal BD are shown. Find the…

A: Given: A quadrilateral ABCD Formula Used: Heron's Formula: s=a+b+c2Area=ss-as-bs-c

Q: The corresponding sides of two regular pentagons are 2 in and 7 in. What is the ratio? Apothem?…

A:

Q: Given that AB is a diameter of circle O and mAD = 130", what is the measure of ZD 130

A:

Q: If the quadrilateral is a parallelogram, find the missing measures. Given PQ = 24, PS = 19, PR = 42,…

A:

Q: To construct a regular dodecagon (12 sides), what measure would be necessary for each interior…

A: dodecagon is a polygon that has 12 sides and we have to find the interior angles of that polygon by…

Q: Given: In circle O, OA=5, BC=6, ad CD=4. Find: Area of quadrilateral ABCD

A: Consider the following figure. The quadrilateral ABCD is inscribed in circle O and AC. the diagonal…

Q: If ABCD is a parallelogram. AD = 14, EC = 11, MZABC = 64°, MZDAC = 71°. and mZBDC = 25 °, find each…

A:

Q: In AABC, given that AB=15 m, BC = 8 m, and <B = 24 degrees, what is the length of side AC? (Draw a…

A: Given Triangle ABC

Q: The perimeter of a rhombus is 40 cm, and one diagonal is 12 cm long.How long is the other diagonal?

A: Explanation: Given a rhombus: Perimeter of Rhombus = 40cmLength of one diagonal = 12cm Formula used:…

Q: Given kite ABCD and isosceles trapezoid WXYZ, complete a two-column proof to show that AADW = ACDZ.…

A: For the given Kite A B C D and Isosceles trapezoid W X Y Z  It is given that  AC is parallel to W Z…

Q: With sides 9, 10, 11, and 12 mm, determine the area of the quadrilateral, assuming that the sum of…

A: Here we have to find the area of the quadrilateral.

Q: In the diagram of AABC below, DE || AB. C A If CD = 4, CA = 10, CE = x + 2, and EB = 4x- 7, %3D %3D…

A: We have given DE||AB in ∆ABC Then, By the triangle proportionality theorem: If a line parallel to…

Q: In rhombus ABCD, diagonals AC and BD intersect at point E. If AE = 5cm and BE = 12 cm, what is the…

A: We can answer it as below

Q: Given that 30° is the measure of an exterior angle of a regular polygon, determine its number of…

A: Rr

Q: A satellite dish in the shape of a regular dodecagon (12 sides) is nearly “circular." Find: a) mAB…

A: A satellite dish is in the shape of a regular dodecagon (12 sides). Here measure of the one arc is…

Q: Determine the area of a quadrilaterals with incircles, having sides a = 9.66 m, b = 7.54, c = 11.44,…

A:

Q: In equilateral triangle ABC, side AB = 5x + 3 and side BC = 2x + 9... What is the perimeter of the…

A: Step: 1 Equilateral Triangle:- A triangle, in which every sides all three sides have the same…

Q: The interior angle of a rhombus is 64o and the shorter diagonal is 24 cm. Compute the area of the…

A:

Q: Given: Trapezoid ABCD with ADu BC Find the perimeter.

A:

Q: Given the regular polygon, find the measure of each numbered angle. 1 O m/1 = 22.5°, m2 = 78.75° O…

A:

Q: In a regular n-gon, the area is 700 cm^2, the apothem is 10 cm, and each side is 7 cm. The perimeter…

A: The formula for the area of a n-gon is 12ap ,  where a=apothem and p=perimeter. Therefore by the…

Q: The sides of the polygon ABCD are congruent, respectively, to the sides of a polygon . Are the…

A:

Q: A quadrilateral that is equiangular, but is not equilateral, must be a - (Give the strongest…

A:

Q: In rhombus ABCD, with diagonals AC and DB, AD = 10. If the length of diagonal AC is 12, what is the…

A: Using the given information, draw a rhombus and label it. In a rhombus, the diagonals are…

Q: Given kite ABCD and isosceles trapezoid WXYZ, complete a two-column proof to show that AADW ACDZ. х.…

A: Kite ABCD and isosceles trapezoidal WXYZ. WD ≅DZ XB≅BY

Q: A quadrilateral ABCD is to be inscribed in a semicircle in such a way that AD will be along the…

A:

Q: The corresponding sides of two regular pentagons are 2 in. and 7 in. What is the ratio of their…

A: Given that the corresponding sides of two regular pentagons are 2 in. and 7 in.

Q: Suppose that ABCD is a trapezoid, with AB parallel to CD, and diagonals AC and BD intersecting at P.…

A:

Q: In concave quadrilateral ABCD, the angle at A measures 40°. AABD is isosceles, BĆ bisects ZABD, and…

A: Given: The value of Angle A measures 40°. The side BC bisect ∠ABD and DC bisect ∠ADB. The triangle…

Q: If a triangle consists of side lengths (5a2 − 6a), (3a2 + 4b2 − 3b), and (5b2 + 4b − 2a), what is…

A:

Q: For Exercises 11 and 12, use Brahmagupta's Formula. 11. For cyclic quadrilateral ABCD, find the area…

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

Q: Given quadrilateral ABCD is a rhombus and MZABD= 32°, find the measure of each numbered angle below.…

A: since the diagonals of a rhombus intersect at right    angles ∠2=90°…

Q: In rhombus ABCD., diagonals AC and BD intersect at point E. If AE = 5cm and BE = 12 cm, what is the…

A: In Rhombus ABCD  diagonals AC and BD intersect at the point E.AE=5cm and BE=12 cm To find the length…

Q: three post are set in level ground in such a manner that their bases form an equilateral triangle…

A: SOLUTION-

Q: In quadrilateral ABCD, the measure of exterior angle A is twice m ZB, 20 more than m ZC, and 40 more…

A:

Q: Given Square ABCD and EDC = ZECD, prove AABE is equilateral.

A: So, ABCD is a square,  angle EDC and ECD are equal, (let them be x), i.e. E is exactly lies on the…

Q: What type of trapezoid a) has congruent diagonals? b) has congruent base angles?

A:

Q: in the △ABC, AB=10cm, ∠B=90°, and ∠C=60° is the length of BC to the nearest centimetre?

A:

Q: In the figure, quadrilateral ABCD is inscribed in O0. Also, CF 1 BD. a) Explain why AABE ~ ADFC. b)…

A: According to AA property of similarity, if two corresponding angles are congruent in two triangles,…

Q: In the accompanying diagram, quadrilateral ABCD is inscribed in circle O. mAB=132°, m

A: Given:

Q: 1. MN = 31 %3D 31 45 KN = K mZK = 119° mZL = %3D N mZM = %3D

A:

Q: In parallelogram ABCD, AB = x+9, BC = x+5, and CD = 2x-3. Find the length of side AD.

A:

Q: 5. If QR = 13 and PT = 8, find QT. %3D %3D P R

A:

Q: If ABCD is a parallelogram. AD = 14, EC = 11, m/ABC = 64°, MZDAC 71°. and mZBDC 25 , find each…

A:

Q: In trapezoid ABCD,  BC ⊥ AB and BC ⊥ CD.  If  DA = 20, AB = 5, and BC = 12,  find the perimeter of…

A:

Q: In a triangular-shaped lot ABC, the two sides and the included angle are CA=90.95 m, BC=73.80 m, and…

A:

Q: GIVEN: Quadrilateral ABCD with AC 1 BD [See Figure 8.24(a).]; AC d, and BD = d2. PROVE: AABCD =…

A: Given that, in quadrilateral ABCD, AC is perpendicular to BD. AC = d_1  BD = d_2 Let AE = h Then, CE…