F(x)-3/4x+5 as the value of x increases by 4, how will the value of y change

Solved

Show answers

Ответ:

Rooster04

14.02.2022

Mathematics

$6.8\ cm$

Step-by-step explanation:

$We\ are\ given:\\OM\ is\ altitude\ of\ \triangle AOB\\ON\ is\ altitude\ of\ \triangle DOC\\Now,\\Lets\ only\ focus\ on\ the\ interior\ triangles\ inside\ the\ two\ above\ triangles.\\They\ are:\\\triangle OMA\ and\ \triangle ONC.\\\\We\ observe\ that:\\\angle AMO=90[As\ it\ is\ the\ altitude\ of\ \triangle AMO]\\\angle ONC=90[As\ it\ is\ the\ altitude\ of\ \triangle ONC]\\Hence,\\\angle AMO= \angle ONC=90\\\\$

$We\ also\ observe\ that,\\\angle MOA\ and\ \angle CON\ are\ vertically\ opposite\ as\ they\ are\ one\ pair\\ of\ opposite\ angles\ formed\ by\ the\ intersection\ of\ Lines\ AC\ and\ MN.\\We\ know\ that,\\"When\ two\ straight\ lines\ intersect,\ the\ pairs\ of\ vertically\ opposite\\ angles\ formed\ are\ equal".\\Hence,\\\angle MOA= \angle CON$

$Lastly,\\We\ are\ given\ that,\\MO=ON$

$Now,\\The\ ASA\ Congruence\ Criterion\ states\ that' If\ two\ angles\ and\ the\ includ\\ side\ of\ one\ triangle\ is\ equal\ to\ the\ corresponding\ angles\ and\ the\ includ\\ side\ of\ the\ second\ triangle,\ both\ triangles\ are\ congruent'.\\Hence,\\\triangle AMO \cong \triangle CNO.$

$Hence,\\AM=NC [Corresponding\ Parts\ of\ Congruent\ Triangles]\\We\ can\ observe\ that,\\CD=DN+NC\\Hence,\\DN=2.6\ cm [Given]\\NC=AM=4.2\ cm [Proven]\\Hence,\\DC=2.6+4.2=6.8\ cm$

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice