Study the road plan shown in the figure. A service station will be built on the highway, and a road will connect it with Cray. How long will the new road be?
a. 31.2 mi
b. 40 mi
c. 4.6 mi
d. 5.4 mi

answer:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8  

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.

d 600 because 15*10*2=300

300+300=600

step-by-step explanation: