Can someone help fast? I will give 20 points. Thx 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 Are the polygons similar? If they are, write a similarity statement and give the scale factor. The figure is not drawn to scale. A) JKML ~ PSRQ; 8:1.5 B) JKML ~ PQRS; 8:4.8 C) JKML ~ PQRS; 2.5:4.8 D) The polygons are not similar. 3. What similarity statement can you write relating the three triangles in the diagram? A) GHF ~ GIH ~ HIF B) HIF ~ GIH ~ GFH C) GFH ~ GHI ~ HIF D) GHF ~ IGH ~ HIF 4. What are the values of x and y? A) x=9/4, y=3/4 B) x=9/4, y=15/4 C) x=15/4, y=5/4 D) x=3/4, y=15/4 5. What is the value of x to the nearest tenth? The figure is not drawn to scale. A) x=15.7 B) x=4.4 C) x=13.9 D) x=1.9 6. Are 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) 78 8. A salsa recipue uses green pepper, onion, and tomato in the extended ratio 3:7:11. How many cups of green pepper are needed to make 189 cups of salsa? A) 9 B) 27 C) 63 D) 99 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 value of x, given PQ || BC? A) 10 B) 5 C) 7 D) 8

Question
Answer:
1. A  
7. C
8. C
10. A

1. Ratios are simplified by taking the least common multiple of both values and diving them until they are no longer divisible (in simplest form). 

7. The geometric mean can be found by taking the square root of A * B (the two values given, 6 and 13).

8. 189 ÷ 3 = 63

10. Cross multiplying the values across from each other, and dividing by the last value is the solution for finding the value of x in a proportion. 
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general 9 months ago 7014