اسئلة باللغة الانجليزية ارجو الرد عليها ضروري

[nouralden]

(1) AB is a diameter in the circle M , AC is a chord of it, E is the mid point of AC, draw BD a tangent to the circle intersecting AC at D and draw EM intersecting the circle at X .
Prove that:
the measure of angle BAX = 1/2 the measure of angle D

(2)
1 The two circles M and N both are intersected at A and B. Draw CD passing through
the point B and intersecting the circle M at C and intersecting the circle N at D, then
draw CE a tangent to the circle M at C and draw DE a tangent to the circle N at D. If
CE + DE = {E} Prove that ACED is a cyclic quadrilateral.

(3) If x={2,4,6} and the function F : x----->2, f(x)=2x+3, then the range of the function F equals ............

(4) If X={3,5,7}, n(y)=4 and the function f: X ----->Y , f(x)=2x-5 then Y may be equal ..........O


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شكرا .