Liam is setting up folding chairs for a meeting. if he arranges the chairs in 4 rows of the same length, he has 3 chairs left over. if he arranges the chairs in 2 rows of that same length, he has 19 left over. how many chairs does liam have?

75 chairs

Step-by-step explanation:

1. 9x+3 : write equation

2. 7x+19 : write equation

3. 9x+3=7x+19 : make both equations equal to each other

4. 2x+3=19 : subtract 7x from both sides

5. 2x=16 : subtract 3 from both sides

6. 8 : divide 2 on both sides of the equal sign

7. 9(8)+3=75 : plug 8 into the equation

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.