What is scale factor of the two triangles ?

GKN is 3/4 of AHL

Step-by-step explanation:

Compare the similar sides. 3:4. 6:8. 15:20. All of them are equivalent to 3/4

A. 3/4

Step-by-step explanation:

We have to find which sides correspond to which other ones'.

The sides in order of increasing in triangle 1: NK, GK, GN

The sides in order of increasing in triangle 2: AH, HL, AL

AH~NK  4 ~ 3

HL~GK   8 ~ 6

AL~GN   15 ~ 20

When we put them into a fraction and simplify that should be our answer.

 =   =

The simplest fraction is 3/4 so that is our answer.

If you want to make ΔAHL = ΔNKG you have to multiply each of the sides by 3/4. But if you want to make ΔNKG = ΔAHL multiply each side of ΔNKG by 4/3.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is