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2 years ago

Delta Math: Finding Angles (Level 1) 1/5 Full explanation please will give brainlist

Mathematics

1 answer:

olga nikolaevna [1]2 years ago

4 0

Answer:

$m\angle FGC =101\degree$

Step-by-step explanation:

$m\angle CBF = 46\degree$ (Given)

$m\angle FIG = 55\degree$ (Given)

$m\angle IFG = m\angle CBF$ (Corresponding angles)

$\implies m\angle IFG = 46\degree$

$m\angle FGC =m\angle IFG+ m\angle FIG$

(By exterior angle theorem)

$m\angle FGC =46\degree+ 55\degree$

$m\angle FGC =101\degree$

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Which of the following is the solution set for the conjunction –6 < 4x + 2 < 6? x>−32 and x<32 x >–2 and x < 1

alisha [4.7K]

$-6$

<em><u>Solution:</u></em>

<em><u>Given conjunction is:</u></em>

$-6$

We have to find the solution set

<em><u>Let us solve the given conjuction</u></em>

$\mathrm{If}\:a$

Therefore,

$-6$

<h3><em><u>Let us first solve -6 < 4x + 2</u></em></h3>

$-6 < 4x + 2$

Switch the sides by flipping the inequality symbol

$4x+2>-6$

$\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\\\4x+2-2>-6-2\\\\\mathrm{Simplify}\\\\4x>-8\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4}>\frac{-8}{4}$