Which would prove that abc ~ xyz? check all that apply

Option: A and C are correct.

Step-by-step explanation:

For ΔABC~ΔXYZ.

option: A

if this property is satisfied than the SSS similarity theorem will hold and the two triangles will be similar.

( since  Side-Side-Side (SSS) Similarity Theorem - If the lengths of the

corresponding sides of two triangles are proportional, then the

triangles must be similar )

Option: C

and ∠A≅∠X.

in this case the SAS similarity will hold true and

hence ΔABC~ΔXYZ.

( since Side-Angle-Side (SAS) Similarity Theorem - If an angle of one

triangle is congruent to an angle of a second triangle and the lengths of

the sides including these angles are proportional, then the triangles

must be similar ).

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: