Find x.

15.4
17.1
30.9
34.4

9514 1404 393

  (b)  17.1

Step-by-step explanation:

The relevant trig function is ...

  Cos = Adjacent/Hypotenuse

  cos(42°) = x/23

  x = 23·cos(42°) ≈ 17.0923

  x ≈ 17.1

the statemwnt is the company makes small and large snow cone cups.

large=it holds more then the small

small=it holds less then the large

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.