Mariko is training for a race and now
runs 6.5 miles in about 52 minutes.
Write an equation to represent the
number of minutes, n, she will take to
run m miles at this rate.

n = 52m/6.5

Step-by-step explanation:

We are given that;

Distance run; d = 6.5 miles

Time;t = 52 minutes.

Thus, at rate per minute, is;

v = 6.5/52 miles/minutes

Now, we want to find number of minutes, n, she will take to

run m miles at this rate of 6.5/52.

Thus, m/n = 6.5/52

Cross multiply to give;

52m = 6.5n

n = 52m/6.5

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.