首页
登录
职称英语
[img]2022m10x/ct_ve01204002j_0056_221018[/img]In the figure above, if the shade
[img]2022m10x/ct_ve01204002j_0056_221018[/img]In the figure above, if the shade
游客
2024-01-13
77
管理
问题
In the figure above, if the shaded region is rectangular, what is the length of XY?
(1) The perimeter of the shaded region is 24.
(2) The measure of ∠XYZ is 45°.
选项
A、Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B、Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C、BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient.
E、Statements (1) and (2) TOGETHER are NOT sufficient.
答案
C
解析
Determine XY.
(1) Letting L and W be the length and width of the shaded rectangular region, then from (1), L + W= 12. This does not give enough information about △XZY to determine XY; NOT sufficient.
(2) From (2), △XZY is a 45°-45°-90° triangle, so XZ = YZ and XY = XZ
, but no information is given to determine XZ; NOT sufficient.
Taking (1) and (2) together and using the figure below, from (2), △XRP is a 45°-45°-90° triangle, so XR = PR=QZ= W. Likewise APQY is a 45°-45°-90° triangle, so PQ = YQ = RZ = L. It follows that XZ = XR + RZ=W+L and W+ L= 12 from (1). Likewise, YZ=YQ+QZ = L+W= 12. Since the length of the legs of △XZY are known, XY can be determined.
The correct answer is C;
both statements together are sufficient.
转载请注明原文地址:https://tihaiku.com/zcyy/3360141.html
相关试题推荐
Jessie:Ohboy.Idon’tthinkIcaneverfiguretheproblemout.Peter:______A、
Inthefigureabove,whatisthevalueof2s-r?[img]2011q3/ct_egmatqj_egmatqchoo
Intherectangularfigureabove,theareaoftheshadedregionisequaltothea
Whichofthefollowingcouldbetheequationoflinelinthefigureabove?[img]
Inthefigureabove,x=2.WhatistheareaofcircleO?[img]2011q3/ct_egmatqj_eg
Whatistheareaoftheshadedfigure?[img]2011q3/ct_egmatqj_egmatqchoose_0056_2
Whatistheperimeterofthefigureabove?(Note,figurenotnecessarilydrawnt
Ifn>4,whatisthevalueoftheintegern?[img]2022m10x/ct_ve01204002j_0284_
Ifd=[img]2022m10x/ct_ve01204002j_0015_221018[/img],a=c/2,andb=3c/4,whatist
[img]2022m10x/ct_ve01204002j_0014_221018[/img]Thefigureaboverepresentsanet
随机试题
WhichofthefollowingstatementsisNOTtrueaboutHarbinaccordingtothespea
Insomepilotprogrammes,teachers’salariesarelinkedwithstudents’evalu
Accordingtothenews,Rodinapartyisbecomingimportant______.[br][origina
Drunkendriving—sometimescalledAmerican’ssociallyacceptedformofmurd
Accordingtothewriter,themotorvehicleaccidenthappensessentiallybecause
共用题干 StanfordUniversity1StanfordUniv
以下哪项不是库存存在的主要问题?()A:库存被认为是一种浪费 B:库存可能掩盖
在新文化运动中,把白话文的形式和反封建的内容结合起来的是 A.陈独秀B.李大
下列FIDIC标准合同条件,采用总价合同的有()。A.《施工合同条件》
凡在坠落高度基准面2m以上(含2m)有可能坠落的高处进行的作业称为高处作业。高处
最新回复
(
0
)