_14. In an isc sceles trapezoid, the altitude drawn from an endpoint of the shorterbase to the long er base divides the longer base in segments of 6cm and 13cm long.Find the lengths of the bases of the trapezoid.A. 6cm and 13cmC. 7cm and 19cmB. 6cm and 7cmD. 7cm and 13cm15. Find the length of a diagonal of a kite whose area is 176 cm2 and otherdiagonal is 16 cn long.A. 22 cmB. 24 cmC. 26 cmD. 28 cm

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Answered: 14. In an isc sceles trapezoid, the…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Use a ruler, protractor, and compass to construct, when possible, a triangle with the stated properties. Decide if there can be two or more noncongruent triangles with the stated properties. Complete parts (a) through (c). (a) A right triangle with legs (the sides including the right angle) of length 3 cm and 5 cm How many noncongruent triangles of this form can be drawn? O A. zero O B. one O C. two or more (b) A triangle with sides of length 3 cm and 5 cm and a nonincluded angle of 60° How many noncongruent triangles of this form can be drawn? O A. one O B. two or more O C. zero (c) An isosceles triangle with two sides of length 8 cm and an apex angle of measure 28° How many noncongruent triangles of this form can be drawn? O A. zero O B. one OC. two or more
3. Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 16 inches long. What is the side length of each piece? A. 16/2 С. 8/2 В. 8 D. 8V3
23. A guy-wire is attached to the top of a telephone pole. The wire meets the ground 15 ft. from the base of the pole and at a 70° angle. It will help to draw a picture. a. How tall is the telephone pole? b. How long is the guy-wire?
19. Find the measures of the angles of a right triangle whose legs are 22 cm and 35 cm long. Round to the nearest degree.
5. Sigrid is building a hexagonal gazebo. The gazebo is to be 10 feet across the diagonals. a. How long is each edge of the gazebo? b. What are the interior angles of the outside edges and the central angles? 6. A land surveyor surveys a property and plots the following angles on the plan shown below. Has the surveyor done the work correctly? How do you know? 98° 91° 138° 130° |120° 146° Page 5 of 5
11.) Which of the following does NOT have an area of 40 ft2? a. a right triangle with legs 16 feet and 5 feet b. a trapezoid with bases 4 feet and 6 feet, and height of 4 feet c. an acute triangle with base 8 feet and height 10 feet d. a parallelogram with a base of 8 feet, side length 4.5 feet, and height of 5 feet
5) A circular fountain has a statue in its center, 2 m from the edge. What is the distance around the fountain? Round results to the nearest tenth of a unit.
A triangular lot in front of a commercial building bounded by sides of lengths 13 meters, 39. 11 meters, and 9 meters is to be enclosed by a fenced and planted with ornamental grass. What is the area of the lot? A. 33.7 sq. m B. 48.8 sq. m C. 49.5 sq. m D. 51.6 sq. m A circle has a radius of 10 cm. If a chord of a circle is 6 cm from the center, how long is the 0. chord? A. 8 cm 12 cm C. 16 cm В. D. 60 cm 1. Given a circle with diameter AB and cords AC and BD that intersect at E, if the measure of arc AD is 85 and the measure of arc BC is 70, what is MZAEB? A. 155 B. 102.5 C. 90 D. 77.5 A farmer is decided to fence a triangular vegetable garden from his field bounded on two sides by two streets intersecting at 31°15'. The sides of the garden along the streets are 10 meters and 5 meters. Seedlings are to be planted in the garden at a cost of Php 15.00 per sq. ft. What is the total cost? A. Php 192.30 B. Php 319.35 (C. Php 630.91- D. Php 750.00 С. An end of a trough is in the shape of an…
3.) The area of front surface of a window is 147 sq. ft. The length of the window is thrice its width. Find the dimensions of the window. 4.) In a circle of radius 5 cm, a sector has a central angle 2 rad. Find the area of segment subtended by the angle 2 rad.

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