2 Maggie chose a large random sample of students in her grade and asked the students 2 questions. (1) After school, how many minutes per day do you spend doing homework?
(2) After school, how many minutes per day do you spend doing leisure activities?
She graphed her results on 2 box plots.
Homework
Leisure
0 20 40 60 80 100 120 140 160 180 200 220 240
Time Spent (in minutes)
Which statement about her sample can Maggie correctly make based on her results ?
A
More students were surveyed about the leisure activities question than the homework question because the box plot for the
leisure activities data is larger
B
Over 50% of students spend more than 40 minutes per day after school doing homework
С
About 75% of students spend more than an hour of time after school doing leisure activities per day
D
More students spend 0 minutes per day after school doing homework than spend 0 minutes per day after school doing
leisure activities

Where is the 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.