We can use a proportion to solve problems that involve scale factors. Every 25 feet equals 10 inches, according to Ella's scale model. The building is actually 450 feet tall, so feet and inches are our units for the proportion. The first step is to set up the proportion:

=

Notice the feet (450 and 25) are lined up next to each other, and the inches (x and 10) are lined up as well. Next, we solve by cross multiplying and dividing. 450 times 10 gives us 4500. Then, we divide by the remaining number,25. 4500/25 equals 180. So, Ella's model is 180 inches tall.
Answer:
y= -2
Step-by-step explanation:
Triangles can only be congruent when if all sides are the same
Answer:
11.8cm²
Step-by-step explanation:
The area of the regular pentagon is expressed as;
A = pa/2
p is the perimeter of the pentagon
a is the apothem
Since p = 5s
s is the side length, hence;
A = 5sa/2
Get the side length s;
central angle = 360/5
central angle = 72degrees
angle in the right angle triangle =72/2 = 36degrees
Using SOH CAH TOA
sin 36 = x/2
x = 2sin36
x = 1.1755
s = 2x
s = 2.35cm
Get the area
A = 5(2.35)(2)/2
A = 5(2.35)
A = 11.8cm²
Hence the area of the regular pentagon is 11.8cm²
Juana paid 600 dollars for her sofa because 900 times 2/3 is 600.