1) the amount of time it takes oliver to run his trains around the toy railroad track is directly proportional to the number of trains that he is playing with. if it takes him a minutes to run c trains around the track, how many minutes in terms of a and c, will it take him to run 5 trains around the track?
a) 5ac
b)
5c
a
c)
5a
c
d)
ac
5

2) triangle bcd and triangle efg are similar right triangles. what side corresponds to side bd?
a) side eg
b) side ef
c) side cd
d) side fg

1) It takes him ac minutes to run his train(s) around the track.
a being the time it takes to move ONE train around the track,
c being the number of trains.

When he has 5 trains, it is just 5 times that, since they are both proportional.
5ac

2) A) EG corresponds with BD, since they are both the hypotenuse.

r   = 2.65m

good luck!

cutie~

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.