Answer:
The length of legs lm, mn, and lk is 32 while that of kn is 36.
Step-by-step explanation:
The diagram is attached in the answer.
As both the angles are equal thus the two forms isosceles triangles. This is true because the converse of base angle theorem is applicable here. The theorem clearly states that when a trapezoid is divided by the diagonal, it forms two set of angles where m<1=m<2 and m<lmk=m<nmk
This leads the two set of legs such as
Or this could be written as
Now the remaining two sides are given as
as this form an isosceles triangle so
Similarly
Or
Now the perimeter is given as
Here perimeter is given as 132 so this gives:
So the four legs are of length as given below:
So the length of legs lm, mn, and lk is 32 while that of kn is 36.
Answer:
Step-by-step explanation:
If given tables in the picture show the proportional relationship,
Number of wheels (w) ∝ Number of buses (b)
w ∝ b
w = kb
Here, k = proportionality constant
k = 
Number of buses (b) Number wheels (w) Wheels per bus 
5 30 
8 48 
10 60 
15 90 
Here, proportionality constant is 6.
Similarly, If number of wheels (w) ∝ Number of train cars (t)
w = kt
Here, k = proportionality constant
k = 
Number of train cars(t) Number of wheels(w) Wheels per train car ()
20 184 
30 264 
40 344 
50 424 
Since, ratio of w and t is not constant, relation between number of wheels and number of train cars is not proportional.
Step-by-step explanation:
A- Equilateral (all of the angles are the same)
B- isosceles (just two angles are the same)
C- scalene (non of the angles are the same)
Answer:
−8/3
Step-by-step explanation:
Step 1: Add 12 to both sides.
−3y−12+12=−4+12
−3y=8
Step 2: Divide both sides by -3.
−3y−3=8−3
y=−8/3
