Answer:
VP = 117 mm
Step-by-step explanation:
Corresponding sides of similar quadrilaterals are proportional.
VP/FD = BP/KD
VP = FD·BP/KD = (45 mm)·(78/30) . . . . multiply by FD; fill in the givens
VP = 117 mm
Answer:

63 Jelly Beans
Step-by-step explanation:
The unknown is the number of jelly beans originally in the bag or x
First he had x jelly beans
The he ate one-third of them

He then ate 16 more jelly beans

This was equal to 37 jelly beans

This is the equation
Now solve for x
Subtract 16 from both sides

Multiply both sides by 3

63 Jelly Beans
In quadratic equations,
a + b = -B
ab = C
where a and b are the roots, B is the second term, and C is the constant.
Substituting,
a + b = -12
ab = 35
The values of a and b from the equation is -7 and -5. Thus, the lesser root is -7.