15)
∠EAD ≅ ∠CAB . . . . . . reflexive property. An angle is congruent with itself.
∠AED ≅ ∠ACB . . . . . . given
ΔABC ≅ ΔADE . . . . . . angle-angle similarity: If two angles are congruent, all three angles are congruent and the triangles are similar.
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.
One expression you can do, is to simply simplify the expression,
We can deistribute the 3
6n+9+9
You can then simplify further:
6n+18
Once we have the simplified expression, you can then expnd it in different ways for example:
3(2n+6)
Hope these helped!
multiply second equation by 2 and rewrite
4a + 6b = 10
4a - 8b = 24
subtract equations
0 + 14b = -14
14b = -14
b = -1
sub back into 4a + 6b = 10 to find the value of a
4a + 6 (-1) = 10
4a - 6 = 10
4a = 16
a = 4
therefore, 12a = 12×4
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