On a town map, each unit of the coordinate plane represents 1 mile. three branches of a bank are located at a(−3, 1), b(1, 4), and c(5, −2). a bank employee drives from branch a to branch b and then drives halfway to branch c before getting stuck in traffic. what is the minimum total distance the employee may have driven before getting stuck in traffic? round to the nearest tenth of a mile if necessary. the minimum total distance the employee may have driven before getting stuck in traffic is

The total minimum distance traveled before getting stuck in traffic rounded to the nearest tenth of a mile is 8.6 miles

Given the coordinates :

A = (−3, 1)

B = (1, 4)

C = (5, −2)

Recall the Euclidean distance formula :

Distance traveled from branch A to branch B :

Distance traveled from branch B to branch C :

Half the distance between Branch B and C :

Total minimum distance traveled :

Therefore, the total minimum distance traveled is 8.6 miles.

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answer: the answer is 127 degrees

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.