{"id":267656,"date":"2025-07-23T15:53:28","date_gmt":"2025-07-23T15:53:28","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=267656"},"modified":"2025-07-23T15:53:31","modified_gmt":"2025-07-23T15:53:31","slug":"geometry-basics-homework","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/23\/geometry-basics-homework\/","title":{"rendered":"Geometry Basics Homework"},"content":{"rendered":"\n

Geometry Basics Homework 2: Segment Addition Postulate age document! ** 1. If LM= 22 and MN = 15, find LN. 2. If LN = 54 and LM = 31, find MN. 4. If DF = 9x – 39, find EF. 47 3x + 10<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Let’s work through these one by one.<\/p>\n\n\n\n

Problem 1: If LM = 22<\/strong> and MN = 15<\/strong>, find LN<\/strong>.<\/h3>\n\n\n\n

Using the Segment Addition Postulate<\/strong>, we know that the total length of a segment is the sum of the lengths of its parts. So, for this problem:LN=LM+MN=22+15=37LN = LM + MN = 22 + 15 = 37LN=LM+MN=22+15=37<\/p>\n\n\n\n

Thus, LN = 37<\/strong>.<\/p>\n\n\n\n

Problem 2: If LN = 54<\/strong> and LM = 31<\/strong>, find MN<\/strong>.<\/h3>\n\n\n\n

Again, using the Segment Addition Postulate<\/strong>, we can rearrange the formula to solve for MN<\/strong>:MN=LN\u2212LM=54\u221231=23MN = LN – LM = 54 – 31 = 23MN=LN\u2212LM=54\u221231=23<\/p>\n\n\n\n

Thus, MN = 23<\/strong>.<\/p>\n\n\n\n

Problem 3: If DF = 9x – 39<\/strong>, find EF = 47 3x + 10<\/strong>.<\/h3>\n\n\n\n

This seems like there may be a typo or missing information in the question, but based on what\u2019s given, we\u2019re trying to find EF<\/strong>. The equation for DF<\/strong> is given as 9x\u2212399x – 399x\u221239, and EF<\/strong> is written as 473x+1047 3x + 10473x+10. It seems like we should set DF<\/strong> equal to EF<\/strong>, assuming we\u2019re dealing with an equation involving both segments:9x\u221239=47+3x+109x – 39 = 47 + 3x + 109x\u221239=47+3x+10<\/p>\n\n\n\n

Now, let\u2019s solve for x<\/strong>:9x\u221239=3x+579x – 39 = 3x + 579x\u221239=3x+57<\/p>\n\n\n\n

Subtract 3x3x3x from both sides:6x\u221239=576x – 39 = 576x\u221239=57<\/p>\n\n\n\n

Now add 393939 to both sides:6x=966x = 966x=96<\/p>\n\n\n\n

Finally, divide by 6:x=16x = 16x=16<\/p>\n\n\n\n

Now that we have x = 16<\/strong>, we can substitute it back into the expression for DF<\/strong> or EF<\/strong> to find the length of the segment. Using DF = 9x – 39<\/strong>:DF=9(16)\u221239=144\u221239=105DF = 9(16) – 39 = 144 – 39 = 105DF=9(16)\u221239=144\u221239=105<\/p>\n\n\n\n

Thus, DF = 105<\/strong>.<\/p>\n\n\n\n

If you meant to ask something else in the third problem, feel free to clarify!<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

Geometry Basics Homework 2: Segment Addition Postulate age document! ** 1. If LM= 22 and MN = 15, find LN. 2. If LN = 54 and LM = 31, find MN. 4. If DF = 9x – 39, find EF. 47 3x + 10 The Correct Answer and Explanation is: Let’s work through these one […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-267656","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/267656","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=267656"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/267656\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=267656"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=267656"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=267656"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}