Patricia plans to build a tree house that is 1/2 the size of Cynthia's tree house. Patricia plans to make the area of her tree house at least 13 square feet. Write and solve an inequality to find the area of Cynthia's tree house. Use pencil and paper. Describe how you know which tree house is larger without solving the inequality.

Cynthia's Tree House is larger

Step-by-step explanation:

Let area of Patricia's Tree House = x

Let area of Cynthia's Tree House = y

From the statement Patricia plans to build a tree house that is 1/2 the size of Cynthia's tree house:

Patricia's House is at least 13 square feet, i.e a minimum of 13 square feet

Since

Therefore Cynthia's House Area

Comparing:

y is obviously larger.

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it