Ade has two similar scale models of the same pyramid. The first model has a
height of 5 inches and a surface area of 80.9 square inches. The linear dimensions
of the second model are each increased by a common factor so that the height of
the second model is 15 inches. To the nearest tenth of a square inch, what is the
surface area of the second model?

Please help!

242.7 square inches

Step-by-step explanation:

Hi, to answer this question we have to apply proportions:

The first model has a height of 5 inches and a surface area of 80.9 square inches:

The proportion is : height/ surface area= 5 in / 80.9 in2

For a height of 15 inches

15 in/ x in2

So:

5/80.9 = 15/x

x= 15/ (5/80.9 )

x= 242.7 square inches

Feel free to ask for more if needed or if you did not understand something.  

ans789

step-by-step explanation:

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.