Question 8 X = Side CD = Side DE %3D Side CE = 14. ACDE is an sosceles triangle with CD = DE . If CD = 9x - 25, DE = 6x + 8, and CE = 10x - 73, find the value of x and the measure of each side. Blank 1: Blank 2: Blank 3: Blank 4:

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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Question 8
X =
Side CD =
Side DE
%3D
Side CE =
14. ACDE is an sosceles triangle with CD = DE . If CD = 9x - 25, DE = 6x + 8, and CE = 10x - 73,
find the value of x and the measure of each side.
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Transcribed Image Text:Question 8 X = Side CD = Side DE %3D Side CE = 14. ACDE is an sosceles triangle with CD = DE . If CD = 9x - 25, DE = 6x + 8, and CE = 10x - 73, find the value of x and the measure of each side. Blank 1: Blank 2: Blank 3: Blank 4:
Expert Solution
Step 1

Given CDE is an isosceles triangle with CD¯=DE¯.

Also, given that CD=9x-25, DE=6x+8 and CE=10x-73.

To find the value of x and the measure of each side.

Solution:

We know that isosceles is a triangle in which any two sides are equal.

Here, we have given CD¯=DE¯.

Therefore,

CD¯=DE¯9x-25=6x+89x-6x=8+253x=33x=333x=11

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