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
48
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:http://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
InEurope,therehasbeenaseriousdeclineinphysicalactivityoverthepa
Accordingtothispassage,adiethighinplant-basedfoodsplaysanimportantr
关于施工图纸的核查与签发的说法,错误的是()A.监理机构对核查过程中发现的
尽管是航空业萧条的时期,各家航空公司也没有节省广告宣传的开支。翻开许多城市的晚报
技术完好车辆中,正在按运行作业计划进行营运活动的车辆称为()。A.停驶车辆
薪酬与提名委员会的主要职责有()。 ①对董事、高级管理人员的选任标准和程
前列腺增生发生排尿困难的程度主要决定于A.前列腺的大小 B.病人年龄 C.增
5、在转动着的电机上调正,清扫电刷及滑环时,应由有经验的电工担任,并遵守下列规定
一般饭店在客房预订确认以后,会向客户收取一部分的预订金,这属于( )方式。A.
共用题干 某运输企业最近与某建设单位签定了一项重大建设项目的运输合同,该合同规
最新回复
(
0
)