When the sides are congruent (same direction and size), and the two opposite sides are parallel, the angles are the same. In an isosceles triangle, two angles are congruent, because two sides are congruent.
The question asks for the length of CD and HJ. To find those, we need to find a connection between them.
In the given statement, it says ABCD ≅ FGHJ. When we look at the equation, the corresponding letters are equal. For example, angle A is congruent to Angle F. Or BC ≅ GH.
So we know that CD and HJ are congruent.
Set them equal:

Subtract 2x from both sides:

Subtract 2 from both sides:

If x is 3, plug it in:

Simplify:

So, HJ is 11. And because HJ ≅ CD, CD is 11 too.
Answer:
Step-by-step explanation:
u = 45
v = 30
Angle between them, θ = 5π / 6 = 150°
(a) The formula for the dot product is given by



(b) 



Let the angle between them is θ
The formula in terms of the dot product is given by





θ = 75°
(c) 




Answer:

Apply the formula for sum of cubes: 
Therefore:

