The units of the subway map below are in miles. Suppose the routes between stations are straight. Station G, not shown on the map, is 5 miles east and 7 miles south of Station A. What is the approximate distance between Station E and Station G when traveling by subway?

8.60 miles

Step-by-step explanation:

If S=station G, not shown on the map, is 5 miles east and 7 miles south of Station A, the approximate distance between Station E and Station G when traveling by subway will be gotten using the Pythagoras theorem.

EG² = 5²+7²

EG² = 25+49

EG² = 74

EG = √74

EG = 8.60 miles

Hence the approximate distance between Station E and Station G when traveling by subway is 8.60miles

c. (3,2,6) is the answer.

alright so i think for this one it would to draw it out. this may be hard for me to try and draw, but i will do my best on here:

        r

  /       |     \

notice how it forms 2 triangles inside one bigger triangle.

so if we know the angle spr is the same as psr that is saying the measure of angle p is the same as angle s. this means the big triangle psr is either isosceles or equilateral. in both cases, the triangle is perfectly symmetrical when split down the middle, which is in this case rq. because we know it is perfectly symmetrical on both sides, we know that the two triangles inside the bigger one are equal.