In trapezoid EFGH, EF⎯⎯⎯⎯⎯ and HG⎯⎯⎯⎯⎯⎯ are the bases. Point J is the midpoint of EH⎯⎯⎯⎯⎯⎯ and point K is the midpoint of FG⎯⎯⎯⎯⎯ . EF=5x+3 , HG=12x−3 , and JK=34 . What is the value of x?

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x

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

step-by-step explanation:

to determine whether a given function is even, we simply substitute x with -x in the expression. if the result after simplification is identical to the original equation, then the function is said to be even other wise odd.

f(-x) = (-x)^2 - (-x) + 8

      = x^2 + x +8

the resulting function is not identical to the original one;

f(-x) ≠ f(x)

therefore, f(x) is not an even function

list

6,24,51,72,12,54,80,44,57,64,92,26,66,96

your welcome!