M<J = m<N ( alternate angles)
m<K = m<M ( alternate angles)
so the third angles must also be equal ( total 180 degrees in each triangle)
Therefor the triangles are similar
Answer:

Step-by-step explanation:
One is given the following expression:

In order to simplify and solve this problem, one must keep the following points in mind: the square root function (
) is a way of requesting one to find what number times itself equals the number underneath the radical sign. One must also remember the function of taking the square root of a negative number. Remember the following property: (
). Simplify the given equation. Factor each of the terms and rewrite the equation. Use the square root property to simplify the radicals and perform operations between them.


Take factors from out of under the radical:


Simplify,

Answer:
9π or 28.27 cm
Step-by-step explanation:
The circumference formula is 2πr or dπ. The diameter is 9 cm so we multiply 9 with pi to get the answer.
Answer:
If I had to take an educated guess I'd say 126° but I'm not 100% sure.
Answer:
here's the solution :-
1.) =》the base of the larger triangle is the length of shadow formed by cactus .
so, length of cactus is : 33 feet.
2.) now, jn the smaller triangle formed by liam and it's shadow : -
=》
since both triangle form 90° the bases of both the larger and smaller triangles are parallel , so the base angles of larger triangle = corresponding base angles of the smaller triangle
hence, the both triangles are similar
( by A.A postulate )
now since the both triangles are similar, the the sides will be proportional ,
=》

=》

=》

=》

so, length of the cactus = x = 22 feet