Choose all the expression that are equal to 0.75×0.5

the slopes of a quadrilateral are -1/2, 3/2, -1/2, and 3/2. What conclusion about this shape cam be made.

Talja [164]

The conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).

<em><u>Recall:</u></em>

The slopes of the opposite sides of a parallelogram are always parallel.

When two lines have a slope that is equal, the lines are said to be parallel to each other.

The slopes given shows are:

-1/2, 3/2, -1/2, and 3/2

This implies that the quadrilateral has two pairs of equal sides that are parallel to each other.

Therefore, the conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).

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2 years ago

Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=4x−4y=−4x 4 Select the corre

Amiraneli [1.4K]

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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