Choose all properties that were used to simplify the following problem:

2/7· 53 · 7/2
53 · 2/7 .7/2
53 ·1
53

commutative property of addition
commutative property of multiplication
associative property of addition
associative property of multiplication
multiplicative identity
multiplicative inverse
distributive property

4 properties which are used to simplify the above  

commutative property of multiplication

associative property of multiplication

multiplicative inverse

multiplicative identity        

Step-by-step explanation:

Given the problem with solution

we have to choose all properties that were used to simplify the above problem.

By commutative property of multiplication

By associative property of multiplication

By property of multiplicative inverse

By multiplicative identity

Hence 4 properties are used to simplify the above

commutative property of multiplication

associative property of multiplication

multiplicative inverse

multiplicative identity

we don't have enough info to solve this

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.