A parallelogram is also a rhombus if the diagonal is a bisector of an angle enclosed by the two adjacent sides of a parallelogram.
In our case it means,


Hope this helps.
Answer:
X=28
Step-by-step explanation:
3x-8=2x+20. So x=28
Answer:
EFG = 50.6, LMN = 129.4
Step-by-step explanation:
ok so s supplementary angles mean, their angles will always add upto 180. for example if one angle is 100° then the other will be 80°.
to find the angles first we need to solve for x.
we know EFG + LMN = 180 because its supplementary.
that's is (3x+17) + (12x-5) = 180.
we now solve for x;
15x+12 = 180
15x = 168, x= 168/15 = 11.2
now that we know x we can put this value in the corresponding equation of EFG and LMN to find the angles.
EFG = 3x11.2 + 17 = 50.6
LMN = 12x11.2 - 5 = 129.4
Answer:
C. x = 8 , y = 40
Step-by-step explanation:
since this is an Isosceles triangle 5x = 40° and x = 8
The sum of interior angles in a triangle is equal to 180°
40° + 5x + 2y + 20 = 180° add like terms
5x + 2y = 120
40 + 2y = 120 ➡ 2y = 80 and y = 40
Answer:
Final answer is A. 
Step-by-step explanation:
From table we see that there are 7 places in the list.
Event A = The place is city.
Then
indicates the place is NOT city.
From table we see that there are 4 names "India, Peru, Canada, Mexico" which are not city.
Hence probability that the chosen place is not city is given by:

Hence final answer is A. 