Answered: An equilateral triangle has an area of…

An equilateral triangle has an area of 18v3 in². A regular hexagon has side lengths equal to that of the triangle. What is the exact perimeter of the hexagon?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter7: Locus And Concurrence

Section7.3: More About Regular Polygons

Problem 10E: In a regular polygon with each side of length 6.5 cm, the perimeter is 130 cm. How many sides does...

See similar textbooks

Related questions

Q: For the following equation y = -2(x – 3)2 + 10 answer the following questions; a) Vertex b) a value…

A: Given: a) y=-2x-32+10 Rewrite in the form y=ax2+bx+c y=-2x2-6x+9+10 y=-2x2+12x-18+10…

Q: Which rule explains why these triangles are congruent? V. W

A: Find your answer below

Q: n triangle OPQ shown below, point R is a mid point of side OP and point S is the mid point of side…

Q: Find the area of each figure. Round to the nearest hundredths when necessary. 1. 22 m 10.8 in 4.4 in

A: The objective is to find the area.

Q: 5. Solve for x. F E 68 (9x - 5)

Q: A regular pentagonhas sides of 20cm. An inner pentagon with sides of 10 cm is inside and concentruc…

A: Concentric pentagons:

Q: Illustrate that the sum of the angles of an elliptic triangle is more than 180 degrees and explain.

Q: A parabola has a vertex of (-3, 7) and also goes through the point (-6, -11). State the equation in…

Q: Suppose arc AB shown below has measurement of 94 degrees and arc BC has a measurement 120 degrees.…

Q: with

Q: 10 ft 8 ft 10 ft 6 ft Calculate the area of this figure. Round your answer to the nearest tenth. A =…

Q: What is the surface area of the composite figure? Round to the nearest tenth.

A: answer is in next step

Q: A2. Referring to the figure below, DE,CF, and BG are parallel, and EF = 2FG = 2AG. Given that the…

Q: 1. Identify which theorem will prove that ZEDC = ZDEC= ZECD if DE EC = CD. A,

A: Given problem:-

Q: 8. If A MNO APQR, which of the following is not true? A. ZN 2Q B. MN PQ C. NO PR D. 20 ZR 9. Find…

A: Please refer to the image below As per policy only first number question is answered.

Q: K H. A

Q: Tis a midsegment of AQSU. QU = Z + 8 and RT = z, what is the value of R.

A: Given query is to find the value of z.

Q: What is the surface area of the composite figure? Round to the nearest tenth. ...5 cm 12 cm

Q: 15 cm 17. 21 cm 20 cm

A: We have to find the area of the given figure.

Q: 2. What is the measure of AB? 2x-3 Solutions: x+9

Q: 1. If AABC = ADEF, which segment is congruent to AB? А. ВС В. АС C. DE D. EB 2. If ASUM = APRO,…

Q: cone and a cylinder have the same radius and height. The volume of the cone is `100\pi` cubic feet.…

A: Given query is to find the volume of the cylinder.

Q: What values of x and y make ATUV ADFE? F 42 D. 17 U

Q: If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates…

A: Given : Mid - Points of the sides of a Triangle : (-2,3),(4,-3),(4,5) Find the coordinates of its…

Q: For items 1 - 5: Complete the proof. А. СО СО E. Given В. ASA F. Transitive Property C. SAS G.…

A: Explanation of the answer is as follows

Q: Find x and y. 1250 180 %23

Q: Find the area of a sector with a radius of 10 and a central angle of 52 degrees. Round your answer…

Q: Given: AB = AC, ZBAD = ZCAD Prove: AD bisects BC A Statements Reasons 1. AB = AC 1. Given 2. ZBAD =…

A: We can answer question no 4 and 5 as below.

Q: B

Q: 16. In AABC it is known that AB = 13, BC = 14 and AC = 15. Let D and E be the feet if the altitudes…

Q: Consider the line 4x+3y =-9. What is the slope of a line perpendicular to this line? What is the…

A: topic - slope of a line

Q: ABCD is a square. Find x and y. E wwww **

Q: Find the area to the left ofz = -1.96 or to the right of z 1.96?

A: From the standard normal table we know, P(Z<-1.96)=P(Z>1.96)= 0.025 (approx)

Q: Suppose arc DB in the image below measures to be 128 degrees. What is the measurement of angle DCB?…

A: To solve the following problem

Q: 3. Lillian and Darlene plan to get their homework finished within one hour. Darlene completes her…

Q: Find the surface area of the pyramid. 20 m 10/3 m -20 m- The surface area of the pyramid is m2. (Do…

A: topic - surface area of pyramid

Q: 75

A: This question can be solved by applying the concept of relation between angles and sides of a…

Q: O is the center of the regular hexagon below. Find its perimeter. Round to the nearest tenth if…

A: We need to find perimeter of the hexagon.

Q: 8. If SE = JO, ED = OY and SD = JY. Can you prove that ASED = AJOY? Explain. A. Yes, by ASA C. No B.…

Q: 3. Find the measurement of x. 19 6. 10

A: Intersecting Secants Theorem : The product of the measures of one secant segment and its external…

Q: om. 10 0.4 Find the area of each figure. A=Bh 468 10 12 4.DABIF 5. ABDI 6. AC 8.DADKF 49. AF 7.…

A: The area of a trapezoid A = ½ (a + b) h, where 'a' and 'b' are the bases (parallel sides) and 'h' is…

Q: A quater has a diameter of approximately 24 milimeters. What is its approximate circumference

A: Given query is to find the circumference of the quater l.

Q: What value of Z will make ADEF AJKI Sy+13 6y 3z 2+22

Q: Find the equation of the line passing through the point (-2, 7) and perpendicular to the line 3y =…

Q: Vhich two triangles are congruent by the SSS Theorem? Complete the congruence tatement.

A: Given query is to find which triangle are congruent.

Q: Write an equation in standard form of the line that passes through the point (0,3) and is parallel…

Q: 1. x? = 81 – y²

Q: Find x and y. 9. 11 30°

A: Given query is to find the value of x and y.

Q: A. Find the an 8 cm 6 cm 4 cm

A: This is a problem of area calculation. By smaller fraction of the figure and summed it all we will…

Q: The vertices of quadrilateral LMNP are L(-1,7) M(4,9) N(8,-1) P(3,-3). This shape is a Rectangle.…

Question

An equilateral triangle has an area of 18v3 in². A regular hexagon has
side lengths equal to that of the triangle. What is the exact perimeter of
the hexagon?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A triangle has a base of 8.4 cm and a height of 12.5 cm. What is the area of the triangle?
In a regular polygon with each side of length 6.5 cm, the perimeter is 130 cm. How many sides does the regular polygon have?
The approximate area of a triangle with sides of lengths 3 in., 5 in., and 6 in. is 7.48 in2. What is the approximate length of the radius of the inscribed circle?
Find the area of an equiangular triangle with a a perimeter of 24.6 cm. b radius of length 4 in.
For a right circular cone, the slant height has a measure equal to twice that of the radius length of the base. If the total area of the cone is 48in2, what are the dimensions of the cone?
The perimeter of an isosceles triangle is 32cm. If the length of the altitude drawn to the base is 8cm, how long is each leg of the isosceles triangle?_
In excavating for a new house, a contractor digs a hole in the shape of a right rectangular prism. The dimensions of the hole are 54 ft long by 36 ft wide by 9 ft deep. How many cubic yards of dirt were removed?
For a regular octagon, the length of the apothem is approximately 12 cm and the length of the radius is approximately 13 cm. To the nearest centimeter, find the perimeter of the regular octagon.