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10. x= 10 y=sqrt 200

11. x=y=450

12. x=19 y=sqrt 1083

13. x=sqrt 48 y=sqrt 12

Step-by-step explanation:

10.

x and 10 are the same

10^2+10^2=200

sqrt 200 is not a whole number so y is just sqrt 200

11.

30^2=2x^2 because x and y are the same

x^2=450

sqrt 450 is not a whole number so x and y are just sqrt 450

12.

x= 38 divided by 2=19

38^2=19^2+y^2

1444=361+y^2

y^2=1083

sqrt 1083 is not a whole number so y is just sqrt 1083

13.

x^2=(x/2)^2+36=x^2/4+36

x^2=48

sqrt 48 is not a whole number so x is just sqrt 48

y is half of x so it is sqrt 12

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6