Answer: BO:OD = 1:2
Step-by-step explanation:
Here, ABCD is parallelogram, point M is the midpoint of the side BC , point O is the intersection point of the segment AM and diagonal BD.
Let N is the mid point AB ⇒ AN=NB or 2.BN=DC. ( because AB=DC)
And join Points N and C. (by construction)
Then, In triangles NOB and DOC,
∠NOB=∠DOC ( vertically opposite angles)
And, ∠OBN = ∠ODC ( By the property of interior alternative angles by same transversal)
Thus, By the property of similarity,

Therefore,
= 
Answer:

Step-by-step explanation:
To solve this type of problems first need to review some laws of exponents:
When you are multiplying the same base, you need to add the exponents.

When you are raising a base with power to another power, you should keep the base and multiply the exponents:

Now for the expression 
Write the multiplying factors:

Multiply the term 

Then multiply the term 

Simplify the exponents:

Add like terms:

From the wording of the question ... especially the word "which" ...
I understand that the question includes some answer choices, which
you decided not to share with us.
OK. So be it. Here are all the pairs of angles that could be included
in triangle-N:
-- 32°, 93°
-- 32°, 55°
-- 93°, 55°
7/2 is the reciprocal of 2/7