When a coin is tossed it is either heads or tails. Suppose heads has a point value of 1 and tails a point value of -1. if the sum of the point value after 50 tosses is 14. How many of the tosses must have been heads?

32

Step-by-step explanation:

Totally there are 50 tosses.  

Let the number of tosses which resulted head be x.  

Therefore the number of tosses which resulted tail is 50−x.

We get x×1+(50−x)×(−1)=14

x−(50−x)=14

x−50+x=14

x=32

BD, AC, FH

Step-by-step explanation:

Parallel segments are segments that will never intersect.  This means parallel segments will have the same slope.

EG and FH are parallel, as they are on opposite sides of their corresponding rectangular face.

EG and AC are parallel, as they are on opposite sides of their corresponding rectangular face.

AC and BD are parallel, as they are on opposite sides of their corresponding rectangular face.  Since AC and EG are parallel, this means that EG and BD are parallel as well.