X2=9 has only one solution, which is 4.5
Answer:
1. {xx < 13} 3. {yy < 5} 5. {tt > -42} 7. {dd ≤ 4}
9. {kk ≥ -3} 11. {zz < -2} 13. {mm < 29}
15. {bb ≥ -16} 17. {zz > -2} 19. {bb ≤ 10}
21. {qq ≥ 2} 23. ⎧
⎨
⎩
ww ≥ - _7
3
⎫
⎬
⎭
Lesson 0-7
1. {(−15, 4), (−18, −8), (−16.5, −2),
Step-by-step explanation:
ZX + Zz = 180°, without the actual
measu
Answer:
Yes, the triangles are simirar with a scale factor of 3/2.
Step-by-step explanation:
We find the scale factor by dividing corresponding sides:
12/8=3/2
18/12=3/2
24/16=3/2
So 15 gallons of gas brought it from 1/8 full to 3/4 full.
Let's change 3/4 to the equivalent fraction 6/8 so that the denominators are the same. (3/4 = 6/8)
So 15 gallons of gas brought it from 1/8 to 6/8 Those 15 gallons must be 5/8 of the tank's capacity 6/8 - 1/8 = 5/8
So 15 is 5/8 of what number? (This will tell us the capacity of the whole tank)
15 = 5/8n
Divide both sides by 5/8 (remembering to multiply by the reciprocal 8/5)
15 ÷ 5/8 = 15 x 8/5 = 18
So the tank holds 24 gallons and (since it is 3/4 full or has 18 gallons) it needs 6 gallons to fill the tank.
Check - at first 1/8 full (1/8 of 24 = 3) So we started with 3 gallons. 15 gallons added to the 3 gallons is 18 gallons. Now the tank is 6/8 (3/4 full). The remaining 1/4 (2/8) of a tank is the difference between 18 and it's capacity (24 gallons) so it will need 6 gallons to fill it up..
