Aspinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive.

what is true about spinning the spinner one time? check all that apply.

~ s = {1, 2, 3, 4, 5, 6, 7, 8}

~if a is a subset of s, a could be {1, 2, 3}.

~if a is a subset of s, a could be {7, 8, 9}.

~if a subset a represents spinning a number less than 4, its sample space is a = {1, 2, 3, 4}.

~ if a subset a represents the complement of spinning an odd number, its sample space is a = {2, 4, 6, 8}.

{ 9 } ∉ S. Answer C is not correct.
If subset A represent spinning a number less than 4, its sample space is
A ={ 1, 2 , 3 }. Therefore D is also false.

True statements are;
A ) S = { 1, 2, 3, 4, 5, 6, 7, 8 }.
B )  If A is a subset if S, A could be { 1, 2, 3 }.
E ) If a subset A represents the complement of spinning an odd number, its sample space is A = { 2, 4, 6, 8 }. 

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.