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
37
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
Mysister’sprofessorhadher______herpapermanytimesbeforepresentingitto
Hello,everyone.Itisagreatpleasuretohaveyouasassistantstohelp【B1
[originaltext]M:ThisTVsetisgettingworseandworse.Nowitdoesn’tworkat
某一非确定性有限自动机(NFA)的状态转换图如下图所示,与该NFA等价的正规式是
利率变化对个人投资理财策略会产生影响,当预期未来利率水平下降时,一般来说个人投资
()以来,全球经济一体化进程加快,金融技术日新月异,银行的经营规模越来越大
运用工程网络计划的方法编制进度计划,有利于实现进度控制的科学化,其表现为()
以下哪种病易引起肺梗死A:臁疮 B:脱疽 C:股肿 D:青蛇毒 E:压疮
关于商业银行个人理财业务,下列表述中错误的是( )。A.在理财计划存续期间,商
手外伤的术后处理,不正确的是A.抬高患肢防止肿胀 B.注射破伤风抗毒血清 C
最新回复
(
0
)