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.
Answer:
try -3
Step-by-step explanation:
Answer:
The bird has to fly 7.5 m
Step-by-step explanation:
Please see diagram in attached image.
Notice that there is a right angle triangle that defines the situation, and you know two elements of such triangle;
1) one acute angle (
), and
2) the side opposite to that angle.
What you need to find is the side adjacent to the angle, which is what the bird needs to fly horizontally to be above the fish. We named that "x".
The trig function that relates such triangle elements is the tangent:
which rounded to the nearest tenth is: 7.5 m
Answer:
x = 4.2
Step-by-step explanation:
tan 30° = x/7
tan 30° = 0.6
0.6 = x/7
7*0.6 = x
4.2 = x
Answer:
1/36 = 0.02777...
Step-by-step explanation:
Given the sequence 1, 0.25, 0.111..., 0.0625, 0.04, you would like to know the next term.
<h3>Terms</h3>
We recognize the decimal values to be equivalent to ...
1, 1/4, 1/9, 1/16, 1/25
That is, they are the reciprocals of successive squares.
<h3>Next term</h3>
The next term will be the reciprocal of the 6th square:
1/36 = 0.02777...
