In a writing competition, the first place winner receives ½ of the prize money. the second runner up receives ¼ of what the winner won. what was the total amount of prize money distributed if the winner receives $6,000?

The first thing we must do for this case is to define a variable.

We have then:

x: total amount of money

We now write the equation that models the problem.

For the winner we have:

Then, for the second place we have:

if the winner receives $6,000 the total amount of prize money distributed is: $12,000:

First place: $6,000

Second place: $1,500

Note: There is still money

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.

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation: