4. please can you help do this work for me Name:UNIT 4 SIMILARITY AND CONGRUENCELesson 4.11: Proving Triangle Similarity Using Side-Angle-Side (SAS) andSide-Side-Side (SSS) SimilarityFor problems 8–10, the two given triangles are similar. Find x.8.9.AAX65BEB736с4.510.5doDXDate:EG-SRT.4

Given triangle are similar and we have to find the value of x

Answered: For problems 8-10, the two given…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.7: Applied Problems

Problem 23E

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For the 30-60-90 triangle shown, suppose that XY=2a. Find: a XZ b YZ
Laying Phone Cable City A lies on the north bank of a river that is 1 mile wide. You need to run a phone cable from City A to City B, which lies on the opposite bank 5 miles down the river. You will lay L miles of the cable along the north shore of the river, and from the end of that stretch of cable you will lay W miles of cable running under water directly toward City B. See Figure 2.108. Figure 2.108 You will need the following fact about right triangles: A right triangle has two legs, which meet at the right angle, and the hypotenuse, which is the longest side. An ancient and beautiful formula, the Pythagorean theorem, relates the lengths of the three sides: Lengthofhypotenuse=Lengthofoneleg2+Lengthofotherleg2 a. Find an appropriate right triangle that shows that W=1+(5L)2 b. Find a formula for the length of the total phone cable P from City A to City B as a function of L. c. Make a graph of the total phone cable length P as a function of L, and explain what the graph is showing. d. What value of L gives the least length for the total phone cable? Draw a picture showing the least-length total phone cable.
For the 30-60-90 triangle shown, suppose that XZ=a. Find: a YZ b XY
Use the information given in Figure 1 to find x, h, s, and r if y=3. (Note: s is the distance from A to D. and y is the distance from D to B .)

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For problems 8-10, the two given triangles are similar. Find x. 8. 9. A A X 6 5 B E B 7 3 6 4.5 10.5 D D