At the movie theater, children admissions is $5.20 and adults admission are $9.00. on friday, twice as many adult tickets as child tickets were sold. for a total sales of $556.80. how many children were sold that day.

24 child tickets

Step-by-step explanation:

Let x be the number of child tickets sold on Friday.

On Friday, twice as many adult tickets as child tickets were sold, then the number of adult tickets sold is 2x.

Children admissions is $5.20, then x child tickets cost $5,20x and adults admission are $9.00, so 2x adult tickets cost $9.00·2x. In total, x child tickets and 2x adult tickets cost

The total sales are $556.80, so

Therefore, 24 child tickets and 48 adult tickets were sold.

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.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have