Answered: 6. In ADEF, mLD = 50, and an exterior…

6. In ADEF, mLD = 50, and an exterior angle with vertex F has measure 120. What is the longest side of ADEF? a. DE b. EF с. DF d. unknown

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter3: Triangles

Section3.5: Inequalities In A Triangles

Problem 13E: Is it possible to draw a triangle whose sides measure a. 8, 9, and 10? b. 8, 9, and 17? c. 8, 9, and...

See similar textbooks

Related questions

Q: D. Given circle O. AB BC. If mAB = 56°, what is MZAOB? What is mAC? Which chords are congruent?

A: We can find the answer as below for all the questions asked.

Q: The diameter of a circle is equal to the one side of a cyclic quadrilateral. Let the one diagonal of…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the two rows of points on the grid below. Count the number of triangles that can be formed…

A: The two rows grid is given as: In both rows, there are 8 points in each. Therefore there are total…

Q: Find the sum of the measures of the interior angles of a poly- gon of n sides if: а) п %3D 5 b) п…

A: a). n=5 Now the sum of interior angles is, n-2·180°=5-2·180°=540°

Q: Given the following information, determine the number of triangles that would be possible. a) ZA=40°…

A: Topic = Triangles

Q: Are the following pairs of triangles similar? If they are, then name their similarity criteria.…

A: Two triangles are said to be similar when, SSS : Three sides of the triangles are either similar…

Q: In A MNP, M = 35° and P = 47°. %3D Determine the measure of Z N: N = AMNP can be classified as alan…

Q: Are the following pairs of triangles similar? If they are, then name their similarity criteria.…

Q: If 4, 6, and 10 and 14, 21, and x are the lengths of the corresponding sides of two similar…

A: Similar triangles are related so you have to relate the sides to each other. Easiest method of…

Q: Find the measure of each interior angle in the given polygon. A decagon in which the measures of the…

Q: O Find the sum of the measures of the interior angles of a convex 20-gon.

Q: 2. Consider the triangle below. M 64 Determine the angle measure for zA and ZM in order for AGAM to…

Q: 5 em 15 cm A) 6 my B) em C) 6 em D)

A: To find:- From given triangle to find which are similar condition:- If triangles are similar then…

Q: Find the sum of the measures of the interior angles of each convex polygon. 1.) Decagon = %3D 2.)…

A: Sum of the interior angles S =(n-2) × 180°

Q: Find the number of sides of a convex polygon if the measures of its interior angles have a sum of…

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

Q: The circumecenter of triangle HJK is point p. point A lies on line HJ and AP is perpendicular to…

A: Follow 2nd step.

Q: For the four-line geometry. a. How many triangles exist in the geometry in which all three sides are…

A: We have to find the number of triangles exist in a four point geometry.

Q: 5. Given that line n is perpendicular to line m, what are the measures of angles 1, 2, 3, and 4. nIm…

A: We know, sum of angles around a point is 3600. Also sum of angle around a straight line is 1800

Q: 13. If ADJL = AEGS, which segment in AEGS corresponds to DL? 14. Which triangles are congruent in…

A: Given ∆DJL≅∆EGS and

Q: Based on the diagram and congruent marks, what would be the best description of Point P? C

A: The given diagram: Based on the congruent marks, AD=DB BE=EC AF=FC In this triangle,…

Q: Determine the number of triangles formed given each of the following conditions. 1. a = 6, b = 12,…

A: We are given with the multiple question and our guideline is solve first question only kindly repost…

Q: Let AABC and ADEF are similar triangles and their areas be respectively 64 cm and 121 cm. cm? If EF…

A: as per bartleby guidelines i can do first question only

Q: In AGHI, GI is extended through point I to point J, MZIGH = (x + 16)°, mZHIJ= (4x – 12)°, and m/GHI…

Q: Are the following pairs of triangles similar? If they are, then name their similarity criteria.…

Q: I'm not sure what question 1 means or how to do it

A: Given lines are

Q: For which values of a, b and C there exists a non-degenerate triangle having sides of length a, b…

Q: 30. If BCDE is inscribed in the circle, which of the following is true?

Q: Are these triangles similar? If yes, please select the correct Similarity Staten M 18 25 30 15…

Q: Given ACON and AVEX. Which similarity theorem will justify that these two triangles are similar with…

Q: 7. Which of the following cannot be the measure of an interior angle of a regular polygon?

A: To check: If the given angles belongs to a regular polygon or not.

Q: If AF 1 EF and AF 1 AD, find the measure of each interior angle of the irregular polygon above.

A: JOIN AD BY USING THEOREM that if lines are parallel then sum of co-interior angle is 180. 2) if…

Q: 10 Find to the nearest tenth the length of one of the congruent sides of an isosceles triangle if…

Q: Mr. Brown asked Matt to determine how many edges make up this polyhedron. What answer should he come…

A: Given: Polyhedron shape:

Q: what is the length of segment AB with points A(2,4) and B(3,6). Use √ if necessary.

Q: Are the following pairs of triangles similar? If they are, then name their similarity criteria.…

A: For similar triangle ratio of corresponsing side must be equal

Q: Given directed line segment AC with A(3, -1) and C(8, 4), if B partitions AC such that the ratio of…

A: Given that, Line Segment AC with A(3,-1) and C(8,4). and B partitions AC such that the ratio of AB…

Q: Which of the following triangles (not drawn to scale) is a 45-45-90 triangle? 2-5 442 22 44 22-2 362

Q: 3. If AABC is an isosceles triangle, LB is the vertex angle, AB = 6x + 3, BC - 8x - 1, and AC = 10x…

A: From the down side triangle: We know sum of all angles of triangle is = 180°. Therefore,…

Q: Given the points: A(1,-2, 1), B(3,2, 2), C(-2,1,5) prove that A, Band C are the vertices of right…

Q: Consider the diagram. C B Anna says that AABC is congruent to AXY Z by HL. Bashir says the triangles…

A: To determine the congruency of triangles.

Q: Choose SSS, SAS, or neither to compare these two triangles. %+ B SSS SAS neither

A: we are given figures of two triangles . we have to find how to compare them

Q: in ABCD, lines BH is perpendicular to AD and line BG is perpendicular to CD. How are ABH and CBG…

A: Given problem:-

Q: Prove that the segment that joins the midpoints of two sides of a triangle has a length equal to…

A: Given: AM¯=BM¯ ________ (1) AN¯=CN¯ To prove: MN¯=12BC¯ Construction: Extend MN¯ to a point D and…

Q: Calculate, with reasons, the sizes of the angles x and y in each of the following diagrams:

A: diagram : by using diagram AB ∥DC , AD∥BC m∠B = 180°-120°=60° m∠C=120° m∠D= 60° because…

Q: 16. In AJKL, if m/K is nine more than mJ and mZL is 21 less than twice mJ, find the measure of each…

A: The figure corresponding to the given data is

Q: 1. List the pairs of congruent angles and the extended proportion that relates the corresponding…

A: If a polygon is similar to other polygons, then their corresponding angles are equal and the ratio…

Q: 1) If the measure of each interior angle of a regular is 171, find the number of sides of the…

A: Here We will use the formula Interior angle of regular polygon = (180°(n)-360°)/n here Interior…

Q: Given triangle RTS is an isosceles triangle and, ZT is the vertex angle , if ST = 4y + 6, and TR =…

Q: Given: Trapezoid RSTV with RS 11 VT and MN is the median. Find the length of MN if RS = 6.5, ST =…

Question

6. In ADEF, mLD = 50, and an exterior angle with vertex F has measure
120. What is the longest side of ADEF?
a. DE
b. EF
с. DF
d. unknown

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Given circle O with mBC=120, and mAC=130. a Which angle of triangle ABC is smallest? b Which side of triangle ABC is nearest point O?
What relationship, if any, exists between two angles a with equal measures? b that have the same vertex and a common side between them?
In isosceles trapezoid MNPQ with MNQP, diagonal MPMQ. If PQ = 13 and NP = 5, how long is diagonal MP?
A compass was used to mark off three congruent segment, AB, BC, and CD. Thus, AD has been trisected at points B and C. If AD=32.7, how long is AB?
2. Consider XYZ triangles not shown a Which side is included by X and Y? b Which angle is included by sides XY and YZ?
a What is the general name of the point of concurrence for the three perpendicular bisectors of the sides of a triangle? b What is the general name of the point of concurrence for the three medians of a triangle?
In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x.
Is it possible to draw a triangle whose sides measure a. 8, 9, and 10? b. 8, 9, and 17? c. 8, 9, and 18?
With reference to 1, name each of the sides of the following triangles as opposite, adjacent, or hypotenuse. Name sides m, r, and t.
In ABCD, AD=5 and DC=9. If the altitude from vertex D to AB has length 4that is, DE=4, find the length of EB.
The bisectors of two consecutive angles of HJKL are shown. What can you conclude regarding P?
In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x._