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Mathematics

1 answer:

romanna [79]2 years ago

6 0

Answer:

210° , 330°

Step-by-step explanation:

using the sides of the 30- 60- 90 triangle

with legs 1, $\sqrt{3}$ and hypotenuse 2 , then

$sin^{-1}$ $\frac{1}{2}$ = 30° ← related acute angle

since $sin^{-1}$ - $\frac{1}{2}$

then angle is in third / fourth quadrants , then required angles are

180° + 30° = 210° ← in third quadrant

360° - 30° = 330° ← in fourth quadrant

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System of equations helps us to compare two different situations. The system is Independent Consistent System.

<h3>What is System of equation?</h3>

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

Given to us

y = 4x - 4

y = -4x + 4

As we have the two equations, substitute the value of y of both the equations,

4x - 4 = -4x + 4

8x = 8

x = 1

We have the value of x as 1, substitute the value of x in the equation of y,

y = 4(1) - 4

y = 0

Since the two equations have a unique solution, therefore, the system is Independent Consistent System.

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