Abottle of wine known as a magnum contains a volume of 1.5 liters. a bottle known as a jeroboam contains 0.792 u.s. gallons. how many magnums are there in 7 jeroboams?

For this case we must know the following conversion of units:
 
 We calculate first the total number of gallons for 7 jeroboams:
 
 Then, a 1.5-liter bottle is converted to gallons:
 
 Finally, the number of magnums in 7 jeroboams is given by:
 
 Rounding to the nearest whole number:
 
 
 there are 14 magnums in 7 jeroboams

Step-by-step explanation:

Right triangle ABC is reflected over AC to form triangle AFC.

Triangle AFC dilated by a scale factor of two-thirds to form triangle DEC.

Reflection is a rigid transformation which preserves lengths and angles, then

Dilation is a transformation which maps the triangle into similar triangle, so

Thus,

Similar triangle have congruent corresponding angles, so

and proportional corresponding sides

Thus, correct options are: