Answer:
3x-120 = x - 30
2x -120 = -30
2x= 90
x= 45
3(45) -120 (plug x into angle p to check your answer)
135-120
15 degrees
45-30 (plug x into angle r to make sure it's the same thing as angle p)
15 degrees (they're equal so now figure out angle Q and answer the question)
180 - (15 +15)
180- 30
150 is the measure of angle Q
so, the triangle is an obtuse isosceles triangle
Step-by-step explanation:
Answer:
1/3 or 33.33%
Step-by-step explanation:
1/2 * 2/3 = 1/3
Answer:
1. 3,168 in³
2. 
Step-by-step explanation:
1. The total volume of the tank - as calculated by the formula for a rectangular prism - 
, where L is length, W is width, and H is height. 15 · 24 · 11 = 3,960 in³. Next, we divide 3,960 by five to get 792. If 792 in³ is the air at the top, we can then subtract that from 3,960 and get 3,168. So there are 3,168 in³ of water in the tank.
2. If we dump 3,168 in³ of water into a 12,672 in³ tank, then 
of the tank will be full. Simplified, that is 
. So that means of the tank will be empty.
Hope this helps! Feel free to ask any questions!
Answer:
-5
Step-by-step explanation:
Pick 2 points on the line:
(-2, 5) and (-1, 0)
1. 7,028 2. 7,208 3. 7,288 4. 7,828 5. 7,088 6. 2,570 7. 2,507 8. 2,577 9. 2,057 10. 2,077 11. 9,009 12. 9,900 13. 9,090 14. 9,099 15. 9,999
