(6) 70, 70, 110
∠2 = ∠4 = 110° ( congruent angles )
∠3 = 180° - 110° = 70° ( straight angle )
∠1 = 70° ( vertically opposite ∠3 )
(9) ∠AEC = 15x - 11
since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1
∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11
(7) x = 3
AC = AB + ABC = 32
2x + 6x + 8 = 32
8x + 8 = 32 ( subtract 8 from both sides )
8x = 24 ( divide both sides by 8 )
x = 3
Answer:
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Step-by-step explanation:
In order to find the speed of each plane we first need to know the relative speed between them, since they are flying in oposite directions their relative speed is the sum of their individual speeds. In this case the speed of the first plane will be "x" and the second plane will be "y". So we have:
x = y - 60
relative speed = x + y = (y - 60) + y = 2*y - 60
We can now apply the formula for average speed in order to solve for "y", we have:
average speed = distance/time
average speed = 1625/2.5 = 650 mph
In this case the average speed is equal to their relative speed, so we have:
2*y - 60 = 650
2*y = 650 + 60
2*y = 710
y = 710/2 = 355 mph
We can now solve for "x", we have:
x = 355 - 60 = 295 mph
The first plane is moving at 295 mph and the second plane is moving at 355mph.
Answer: (-1/6)/(3/7)= - 7/18
Solution:
(-1/6)/(3/7)=-(1/6)(7/3)=-[(1)(7)]/[(6)(3)]=-7/18
To answer the problems correctly, you have to follow and pay close attention to whether or not it says "Area" or "Perimeter". For example, for the first problem, area of 63 square units, you would have to create a shape thats sides multiply out to equal 63 units squared. He could draw a square with 9 units by 7 units. This would work because 9x7=63. For perimeter, all four sides must add up to equal 38 units. Feel free to get creative with the shape on this one! If you have any other questions, just ask. Hope I helped some. :)
Answer:
Is it x = 85
196 +2x+(3x-6)
subtract 196 on both sides
simplify
add 6 on both sides
divide by 2
