Mathematics, 05.01.2020 10:31 samantamartinez

Which geometric figures have a measurable quantity
a. line
b. angle
c. point
d. line segment
e. ray

Answers: 3

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Answers

Going through the choices, we will find that:
1- The line has no start point and no end point, it just extends infinitely from both directions. Therefore, it cannot be measured.
2- An angle can be measured only if we have more information to help us do the measurement. Since no information is given here, we cannot measure it.
3- A point cannot be measured. You can only locate it, but you cannot measure it.
4- A line segment has a start point and an end point. Therefore, we can measure its length.
5- A ray has a start point but no end point. We cannot measure it as we do not know where it ends.

Based on this, the right choice is:
D- Line segment

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !

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