Answered: ABC< DEF. If AB = 4, DF = 9, and DE =…

Math

Geometry

ABC< DEF. If AB = 4, DF = 9, and DE = 12. What is the length of AC?

PREALGEBRA

15th Edition

ISBN:9781938168994

Author:OpenStax

Publisher:OpenStax

Chapter9: Math Models And Geometry

Section: Chapter Questions

Problem 478PT: ? ABC is similar to ? XYZ. Find the length of side c.

See similar textbooks

Related questions

Q: the length of OC, to i

A: Given : AC = 20 cm and OA = 7 cm . Diagram :

Q: △ABC is an isosceles triangle. AB = BC. If AB=2x+4, BC=x+8 and AC=5x−2. Find the value of x?

A: Given data, △ABC is an iscosceles triangle, AB = BC AB = 2x + 4 BC = x + 8 AC = 5x - 2

Q: The

Q: Let a=4, b=9, and ∠C=140∘. Find the length of side c and measure of the angles, ∠A and ∠B (in…

Q: For the given right triangle, the longer leg is 2 units long and the shorter leg is 1 unit long.

Q: In the diagram of AABC below, DE || BC, AD = 3, DB = 2, and DE = 6. A 3. E 2 What is the length of…

A: From the given diagram of ∆ADE & ∆ABC, AD/DE = AB/BC So, 3/6 = 5/BC BC = 5*2 = 10

Q: In Circle T with m<STU = 50 and ST = 3 units, find the length of are SU. Round to the nearest…

A: Solution:Given T is a circle∠STU=50 and ST=radius=3 units To find the length SU:Formula:Arch…

Q: If 6a = 8b = 0 and c = 12b, the ratio of a to c is equivalent to the ratio of 1 to what number?

A: Given, 6a-8b=0 and c=12b, then the ratio of a to c is equivalent to the ratio of 1 to…

Q: Given triangle DEF, if = 50 inches and EF = 19 inches, what is m<D to the nearest tenth of a degree

A: Given the right angled triangle Given :- DE = 50 EF = 19

Q: Give the side length. BC, given AC = 6, AC' = 18, and B'C = 21. %3D Ouesti Next Ouestion

Q: If AB = 14 and AC = 27, find the length of BC. 14 A B 14

A: Given, AB=14,AC=27 To find: BC Solution: From the figure above, we have:…

Q: In circle C, m/DCE = 135° and the length of DE = 3″. Find the length of CD. E D C CD = 4 CD = 3 CD =…

A: We have to find radius

Q: If A, B, and C are the measures of the angles of a triangle, and a, b, and c are the lengths of the…

A: Given, A, B, and C are the measures of the angles of a triangle, and a, b, and c are the lengths of…

Q: In the figure below, what is the length of side s?

Q: Given that ADAE ABAC, the length of side AE is A AE 12 B AE 3 CAE 4 D AE 8

A: We have to find AE

Q: Find the perimeter of Triangle ABC to the nearest tenth if A=25, C=25, and c=10 meters

Q: In triangle ABC, if a=8, b=13, and c=65 degrees, find the other side and other two angles

A: Topic = Triangle

Q: Given SR || DE, find the length of RE. 143 R F E 88 56 D RE =

Q: A ship sails 20 miles on course 35°T and then sails 30 miles on a course 300°T. How far is it from…

Q: X-9 В 18 12 E 15

Q: If a triangle has lengths of 3 ft and 54 ft, check all the possible lengths for the third side. O51…

A: In any triangle, the length of any two of its sides is greater than the other side. This is called…

Q: 9. KL 10x +3 K 3x +24 L

Q: In triangle triangle is ABC, if LA = 60°, AC=16, and the area of the 22053. what is the length of BC

A: Topic = Triangles length of BC=49

Q: And the of 8t and angle of &215°

Q: In the illustration, points M and N are the midpoints of AC and BC, respectively. Find the length of…

Q: Express the lengths a and b shown in the figure in terms of ?. a= b=

A: To find : Find the value of a and b .

Q: Find the missing side length of each triangle ent) ezunetogyrt morent ot Icupe e arlf 12 clumot 4 20…

A: Given query is to find the Missing sides.

Q: ACDE is an isosceles triangle with CD = DE . If CD = 9x – 25, DE = 6r + 8, and CE = 10x – 73, find…

A: Given:∆CDE is an isosceles triangle with CD ≅ DE.CD = 9x - 25DE = 6x + 8CE = 10x - 73

Q: Triangle ABC is about equal to triangle DEF. If AB = 4, DF = 9, and DE = 12. What is the length of…

Q: Determine if the two triangles are congruent. If they are, state how you know. 2) 3) 4)

Q: If ha, hi, he lengths of the heights of triangle ABC and a < b, then ha · h. he ha – hi -

A: We have to prove that given statement-

Q: In the figure below, the length of AC is 5 and the distance between B and center C is 13. C 134.8° D…

A: We know that when a tangent is drawn to a circle from an external point, then at the point of…

Q: Find the length of SR given that these two triangles are similar. 14 20 P 12 R

Q: For AABC find the length of c to the nearest hundredth, given a = 54, b = 47, and mzC = 85°.

Q: In AABC, the measure o: the length of BC to the r

A: Given, A right triangle ACB is shown and ∠C=90°, ∠A=64°.

Q: In the triangle below, suppose that mLF=(3x-5)°, mLG=(7x+9)°, and mLH=x°. Find the degree measure of…

A: Given triangle FGH as shown in figure Now we have to find measure each of triangle as shown below

Q: In triangle ABC, AD = 10cm, the length of CD is half the length of AD, and the length of BD is twice…

A: To determine the area of the triangle.

Q: What is the perimeter of ABCD? & What is the measure of angle D?

A: In the given figure, BC=AD and AB= CD But BC=10 then AD=10 Ab=9 then CD=9 Perimeter of…

Q: In parallelogram ABCD if CE=16 find EA. В C E А D

Q: Find the area and perimeter of the segment shown. Given m20 = 90° and AB = 6 in. В A

A: Use relation between centre angle and chord for area

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

Q: If TR=11ft, find the length of PS. T 16 S.

A: Given : TR = 11 ft mPS⏜=16° To find : length of PS⏜.

Q: a hypotenuse of 9 and a top angle of 41 degrees

Q: ACDE is an isosceles triangle with CD = DE . If CD = 9xr – 25, DE = 6xr + 8, and CE = 10x – 73, find…

A: An isosceles triangle is one which has two of its sides equal.

Q: 14. ACDE is an isosceles triangle with CD = DE If CD = 9x - 25, DE = 6x + 8, and CE = 10x - 73, find…

A: ∆CDE is an is osceles triangle with CD ≅ DE.If CD=9x-25, DE=6x+8 and CE =10x-73We find the value of…

Q: If the perimeter is 14.2, what is the length of AB? 1.9 in. 3.7 in. 3.4 in. D 3.6 in.

Q: If angle C measures 57° and AC has length 5, find: • Angle B (in degrees): • The length of AB: • The…

Q: Find the exact values of the side lengths h and a

Q: If in a triangle A = 20\deg , b = 1, and c = 2 , then a =

Question

ABC< DEF. If AB = 4, DF = 9, and DE = 12.

What is the length of AC?

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

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.

Similar questions

Find the length of DF if: a DE=8 and EF=6. b DE=5 and EF=3. Exercises 7-10
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?
Show that there is no triangle for which a=4 feet, b=14 feet, and A=60.
Use your compass and straightedge to bisect EF.
Given that AB=3x+2, BC=4x+1, and CD=5x-2, find the length of each side of .
Suppose AB and CD have the same length. Which statements are expressed correctly? a AB=CD b AB=CD c ABCD d ABCD
Circle O has a diameter of length 20cm. Chord AB has length 12cm, and chord CD has length 10cm. How much closer is AB than CD to point O?
For Exercise 42 and 43, use the drawing and the formula from Exercise 41. Find the area of an isosceles triangle for which s=10.6cm and the measure of the vertex angle is 46.