Geoville County wants to build a hospital that is equidistant from its three cities L, M, and N. Which construction correctly finds the best location of the hospital?

Construction X because point C is the incenter of ΔLMN
Construction X because point C is the circumcenter of the ΔLMN
Construction Y because point E is the incenter of ΔLMN
Construction Y because point E is the circumcenter of ΔLMN

Construction Y because point E is the circumcenter of ΔLMN

Step-by-step explanation:

we know that

The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersects.  

In the construction Y the point E represent the circumcenter of triangle LMN

The distances EM, EL and EN are congruent , because represent the radius of the circle.

That means. that the point E is equidistant from the three vertices

In the context of the problem, the hospital (point E) is equidistant from its three cities L, M, and N        

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!