Givn : OK = 3, OJ = 30, KN = 1, JM = 3
ON=OK+KN=3+1=4
OM=OJ+JM=30+10=40
In triangles OKJ & ONM,
OKOJ=330=110
ONOM=440=110
Angle O is common in both the triangles.
Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar.
That means KJNM=110 or the two sides are parallel.
Hence ˆK=ˆN,ˆJ=ˆM corresponding angles.
Answer:
72 units
Step-by-step explanation:
There are two ways to solve the problems.
Count graphically, horizontally there are 9 units, vertically there are 8 units in the rectangle. So the area is 9*8 = 72 units.
Alternatively, check the difference between two adjacent vertices,
1. between (4,-3) and (4,5), the difference is (0,8), or 8 units.
2. between (4,5) and (-5,5), the difference is (9,0), or 9 units.
So again, the area of the square is 8*9=72 units.
Answer:
y = 33/5 or 6.6
Step-by-step explanation:
7y + 44 = 12y + 11
-11 -11
7y + 33 = 12y
-7y -7y
33 = 5y
Divide both sides by 5
= 33/5 or 6.6
Answer:
28 km
Step-by-step explanation:
One leg = 35 km
Second leg = 21 km
We need to find the length of the missing leg. Using Pythagoras theorem, we can find it.
Hypotenuse² = base² + perpendicular²
So, the length of the missing leg is equal to 28 km.
Answer:
If the lines are parallel, final form of his solution is
b) -5 = -5+1
Step-by-step explanation:
As the options are not given in the question and the question is incomplete, lets complete the question first.
Giovani solves a system of linear equations algebrically, he concludes that the lines are parallel. Which could be his final answer.
a) -5 = -5
b) -5 = -5+1
c) 11 = 11
d) 5 = 5
We know that parallel lines never cross at any point, there is no intersection point, which eventually means that there is no solution to the given equations. A system of equations which have no solution is called an inconsistent system of equations, and it graphs the parallel line.
From the options we can clearly see that only (b) has no solution, while all the rest of the options have solutions. Hence, -5 = -5+1 represents parallel lines.
