Answer:
From the attached graphic we see that
rhombus side = Sqr Root [(Long Diagonal / 2) ^ 2 + (Short Diagonal / 2) ^ 2]
rhombus side = Sqr Root [(24/2)^2 + (18/2)^2]
rhombus side = Sqr Root [144 + 81]
rhombus side = Sqr Root (225)
rhombus side = 15 feet
Step-by-step explanation:
Answer:
∠ A ≈ 44.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos A =
=
=
, then
∠ A =
(
) ≈ 44.42° ( to the nearest hundredth )
Answer:
depends which way you rotate it
Step-by-step explanation:
counterclockwise rotation: (6,5)
clockwise rotation: (-6,-5)
Our function is:

Now, if
is a factor of
then
must satisfy the equation:
So, 
Putting 
We get,




So, the value of 'a' for the given expression is 1281.
Answer:
m∠P ≅ m∠L; this can be confirmed by translating point P to point L.
Step-by-step explanation:
Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:
∠L=∠P
∠Q=∠M
∠N=∠R
Since the 2nd triangle made from dilation, it should maintain its orientation.
Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.
Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.
Option 3 and 4 definitely wrong because it speaking about length, not the angle.