Hector is training for a race that is 10 kilometers long. on saturday he ran 2.5 km. he plans to add 0.5 km to his distance every saturday. hector tracks his progress by adding 0.5 every week.2.5 + 0.5 = 3.03.0 + 0.5 = 3.5⋮9.5 + 0.5 = 10which equations are equivalent to his weekly addition of 0.5 km and would correctly determine how many weeks it will take hector to reach 10 km if he starts at 2.5 km and adds 0.5 km every week? select all that apply. a. 0.5x + 2.5 = 10b. 0.5 – 2.5 = 10xc. 10 = 2.5 + 0.5xd. 2.5x + 0.5 = 10e. 2.5x – 0.5 = 10

a. and c. hope this helps

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .