Betty, jen, and sue are in 3 different grades (4th, 6th, and 8th) and have 3 different favorite classes (art, math, and science). betty and the 4th grader do not like science. jen is 2 grades ahead of the girl who likes math. sue likes art best and is not in 8th grade. the student who likes math is not in 4th grade. what are jen's grade and favorite class? be sure to check both answers

Jen's favorite subject: Science.

Grade: 8th

Step-by-step explanation:

Based on the information given in the question we can form a table as follows:

It was given that:

     This means that the student in 4th grade likes Art.

      Also it is given that:

     Sue likes art best and is not in 8th grade.

     This means that Sue is in 4th grade and likes Art.

      Hence Betty likes math and is in sixth grade.

           and Jen likes science and is in 8th grade.

Hence,

Jen's favorite subject: Science.

Grade: 8th

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x