Anational trivia tournament starts with 262,144 teams.
with each round, there are half as many teams as before.
the number of teams after any number of rounds, x, can
be modeled with the following function.
which statement compares the mathematical range and
reasonable range of the function?
o
f(x) = 262,144 (3)
o
both the mathematical and reasonable ranges are
limited to real numbers greater than 0 and less than or
equal to 262,144.
both the mathematical and reasonable ranges are
limited to whole numbers greater than 0 and less than or
equal to 262,144.
the mathematical range is all real numbers greater
than 0. the reasonable range is all real numbers greater
than 0 and less than or equal to 262,144.
the mathematical range is all real numbers greater
than 0. the reasonable range is all whole numbers
greater than 0 and less than or equal to 262,144.
o

Can you provide the tape diagram?

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.