Zac and Lynn are each traveling on a trip. So far, Zac has traveled 123.75 miles in 2.25 hours. Lynn leaves half an
hour after Zac. So far, she has traveled 105 miles
in 1.75 hours. Assume Zac and Lynn travel at constant
rates.
Let x represent the number of hours that have
elapsed since Zac started traveling. Let y represent
the number of miles traveled. On a piece of paper,
write a system of linear equations that represents
the distance each of them has traveled since Zac left
on his trip. Assume Zac and Lynn continue to travel
at the same constant rates and make no stops.
Determine the solution of the system of linear
equations.

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.

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

8

step-by-step explanation:

answer: a) 56% women

b)44% men

step-by-step explanation: