Let:
x = first consecutive integer (or first side of △)
x + 1 = second consecutive integer (or second side of △)
x + 2 = third consecutive integer (or third side of △)
The formula for a perimeter of △ is simply the addition of three sides (or length). Since the given perimeter is 114 cm,
x + x+1 + x+2 = 114
3x + 3 = 114
3x = 114 - 3
3x = 111
x = 111 /3 = 37 cm
The three sides are 37 cm, 38 cm, and 39 cm.
Answer:
Angles 7, 2, and 6
Step-by-step explanation:
Angle 7 is congruent by corresponding angles to angle 3.
Angle 2 is congruent by vertical angles to angle 3.
Angle 6 is congruent by vertical angles to angle 7, which is congruent to angle 3, so angle 3 and angle 6 must also be congruent.
Answer:
20hours
Step-by-step explanation:
Jack can complete the painting in 30hours. The fraction he can paint per hour is thus 1/30
Trainee can complete the painting in 45hours, the fraction he can paint per hour is 1/45
If they are working together, the fraction that can paint in an hour is :
1/45 + 1/30 = 5/90 = 1/18
Now we know they can paint 1/18 of the room in an hour, the number of hours needed to completely paint the room is thus 1/1/18 = 18 hours
Rounding up answer to the nearest tenth is 20hours
