Exploring generations of similar figures. (Each must be the same shape but larger.) For example, how many square pattern tiles will you use to create the next larger square for each generation? How many triangle tiles will you use to create the first generation, second generation, third generation, and so forth? Example: Generation 1 Generation 2 1. Explain the pattern that you have observed. If a pattern does hold for each generation, how many tiles would be required at the 20th generation? 2. How do you determine if the generation you are building is similar (by mathematical definition) to the other generations? 3. What happens to area when you double the dimensions of a given polygon? Triple them? Describe the pattern and give the value needed for the 20th generation.

-6 is the correct option from the above given options

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