Answer:
Ratio = 5/3
The ratio (larger to smaller) of the perimeters is 5/3
Step-by-step explanation:
Attached is an image of the two triangles.
Since both triangles are similar, the ratio of their perimeter is equal to the ratio of each similar sides.
Ratio = P1/P2 = S1/S2
Similar side for triangle 1 S1 = 15ft
Similar side for triangle 2 S2 = 9ft
Substituting the values;
Ratio = 15ft/9ft = 5/3
Ratio = 5/3
The ratio (larger to smaller) of the perimeters is 5/3
Answer:
3h - 6
Step-by-step explanation:
To understand better,I have attached a picture to this answer
Let:
Vj = Speed of jane
Vm = Speed of mike
d = distance
t = time
Jane travels 7 mph less than 2 times as fast as Mike, therefore:
Vj = 2Vm - 7
Remeber:
distance = speed*time
Distance traveled by mike:
d=Vm*t = Vm*6
Distance traveled by jane:
d + 198 = Vj*6
where:
Vj = 2Vm - 7
d + 198 = (2Vm-7)*6
Now, let:
d=Vm*6 (1)
d + 198 = (2Vm-7)*6 (2)
Replace (1) into (2)
6Vm + 198 = 12Vm - 42
Subtract 6Vm from both sides:
6Vm + 198 - 6Vm = 12Vm - 42 - 6Vm
198 = 6Vm - 42
Add 42 to both sides:
198 + 42 = 6Vm - 42 + 42
240 = 6Vm
Divide both sides by 6:
240/6 = 6Vm/6
40 = Vm
Vm = 40mph
Replace Vm into this equation Vj = 2Vm - 7 :
Vj = 2(40) - 7 = 80 - 7 = 73mph
Answer:
Step-by-step explanation:
Find the common denominator, which is 12
Now add them
Simplified version is