What is the value of x in the triangle below?
1 answer:
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Answer:
JK ≅ MN
Step-by-step explanation:
SAS states that any two sides of the angle and the angle itself, if , of two triangles are equal the two triangles are equal.
It is given that ∠J ≅ ∠M and JL ≅ MR i.e an angle and a side are equal. We need one more side to prove that the two triangles are equal.
If we look at the diagram closely we see that the angles J and M are formed by the sides JK & JL and MN& MR.
It is given that JL ≅ MR so we are left with JK ≅ MN
we are given
Firstly , we can distribute
now, we can combine like terms
now, we can solve for x
and we get
...........Answer
Answer:
Option (1) will be the answer.
Step-by-step explanation:
Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.
Slope of the line f,
After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,
Rule for dilation,
(x, y) → (kx, ky)
Where k = scale factor
A(0, 2) → A'(0, 4)
B(2, 0) → B'(4, 0)
Slope of line f',
Since,
Therefore, both the lines f and f' will be parallel.
Option (1) will be the answer.
