Triangles IJK and LMN are similar. Then, the proportion between their similar sides must be equal. That is:
IJ/ML = JK/MN = IK/LN
where:
IJ = x
JK = 54
IK = y
MN = 42
ML = 28
NL = 35
In order to find the value of y, you consider the equation JK/MN = IK/LN, and solve for y, just as follow
JK/MN = IK/LN replace by the values
54/42 = y/35 multiply both sides by 35
(54/42)(35) = y
45 = y
Hence, y = 45
Answer:
78cm
Step-by-step explanation:
L₁/W₁ = L₂/W₂
22/4 = L₂/6
5.5*6=L₂
L₂=33cm
Perimeter of rectangle = 2L+2W
=2(33)+2(6)
=66+12
=78cm
s = hours it takes the small pipe on its own.
L = hours it takes the large pipe on its own.
we know the small pipe can do it in 11 hours total, so s = 11, so, how much of the whole job has the small done in 1 hour only?
well, if it takes 11 hours to do the whole thing, in 1 hour it has done only 1/11 of the whole job.
we know both pipes working together can do it in 6 hours flat. So in 1 hour only, both of them have done only 1/6 of the whole thing.
in that 1 hour, how much has the large one done? well, it has only done 1/L of the job.
and you can round that up as needed.
9514 1404 393
Answer:
(x +yi)²
Step-by-step explanation:
Comparing the given expression to the square of a binomial, we can determine the given expression to be a square.
(a +b)² = a² +2ab +b²
Here, we have a=x and b=yi. Then the factorization is ...
x² +2xyi +(yi)² = (x +yi)²
