15) x=31/10
16)x=2
17)x=16/3
18)x=-2
19)2.5 hours
20) 32 hours
Hypotenuse:
√4²+11² ≈ 11.7
leg:
√11²-4² ≈10.2
11.7-10.2 =1.5
Hope this helps :)
Answer:
x=8+4y
Step-by-step explanation:
Add 8y to both sides:
2x=16+8y
Divide both sides by 2:
x=8+4y
Answer:
42°
Step-by-step explanation:
given OA and OC are perpendicular, the angle between the lines are 90°
this means that ∠AOB and ∠BOC add up to 90°, i.e.
(6x-6) + (5x+8) = 90
6x-6 + 5x+8 = 90
11x - 6 +8 = 90
11x + 2 = 90 (subtract 2 from both sides)
11x = 90- 2
11x = 88 (divide both sides by 11)
x = 8
Hence, m∠BOC
= 6x - 6
= 6(8) - 6
= 48 - 6
= 42°