Question

the empire state building in New York city is 1,454 feet tall. a model of the building is 24 inches tall. what is the ratio of the height of the model to the height of the actual empire state building?

Answer 1

24in : 1454ft = 2ft : 1454ft = 1:727

Answer 2

24 inches = 2 feet

2/1454

Answer 3

1) 1 : 727

2) JKML ~ PQRS; 8 : 4.8

3) GFH ~ GHI ~ HIF

4) x = 9/4 y = 15/4

5) 15.7

6) Never

7) No (prolly wrong but fingers crossed)

8) 78 w/ square root sign

9) 27

10) 105 w/ a square root sign

11) m=25

12) x=20

Your on your own w/ the other ones, sorry. Also sorry if any are wrong, this is just what I'm abt to put in for my test.

Answer 4

All correct but 3 and 12

Answer 5

1.The Empire State building in New York City is 1,454 feet tall. A model of the building is 24 inches tall. What is the ratio of the height of the model to the height of the actual Empire State building?
A)727:12
B)727:1
C)12:727
D)1:727
2. Are the polygons Similar? If they are, write a similarity statement and give the scale factor. The figures are not drawn to scale.
A) TUWV-DEF; 4.5:2.8
B)TUWV-EFGD; 6:2.1
C)TUWV-DEF; 6:4.5
D)The polygons are not similar
3. What similarity statement can you write relating the three triangles in the diagram?
A)JMK-MLK-JLM
B)JKM-LMK-JLM
C)JLM-MLK-JKM
D)JKM-MKL-MJL
4.What are the values of x and y?
A)x=136/12.y=17/15
B)x=64/15.y=17/15
C)x=8/15.y=136/15
D)x=64/15.y=136/15
5. Whaaat is the value of x to the nearest tenth? The figure is not drawn to scale.
A)x=35.6
B)x=10.5
C)x=4.9
D)x=1.5
6.AAre the two triangles similar? How do you know?
A)no
B)yes; by AA
C)yes;by SAS
D)yes; by SSS
7. What is the geometric mean of 6 and 13?
A)2^13
B)2^26
C)^78
D)49
8. A salsa recipe uses green pepper, onion, aand tomato in the extended ratio 3;5;7. How many cups of tomato are needed to make 105 cups of salsa?
A)7
B)21
C)35
D)49
9..What is the length of the altitude drawn to the hypotenuse?The figure is not drawn to scale
A)24
B)^24
C)143
D)^143
10.What is the solution to the proportion? 6/11=m/121
A)66
B)11
C) 1/66
D)1
11.What is the given value of x, given that PQ ll BC?
A)10
B)5
C)7
D)8
1)D
2)C
3)A
4)D
5)B
6)A
7)C
8)D
9)D
10)A
11)B

Answer 6

The Empire State Building in New York City is 1,454 feet tall. A model of the building is 24 inches tall. What is the ratio of the height of the model to the height of the actual Empire State Building?
1:727

Are the polygons similar? If they are, write a similarity statement and give the scale factor.
JKML ~ PQRS; 8: 4.8

What similarity statement can you write relating the three triangles in the diagram?
GHF ~ GIH ~ HIF

What are the values of x and y?
x = 64/15, y = 136/15


What is the value of x to the nearest tenth?
10.5


Are a parallelogram and a pentagon always, sometimes, or never similar?
Never

Are two triangles similar? How do you know?
Yes; by AA~

What is the geometric mean of 3 and 7?
Square root of 21

A salsa recipe uses green pepper, onion, and tomato in the extended ratio 2:5:9. How many cups of onion are needed to make 96 cups of salsa?
30

What is the length of the altitude drawn to the hypotenuse?
Square root of 105

What is the solution to the proportion? 5/9 = m/63
35

What is the value of x, given that PQ // BC?
10