10. provide the reasons for the following proof: given: line wx =~ line xy, line xz bisects angle wxy prove: triangle wxz =~ triangle yxz the last answer choice is symmetric property of =~; sas am i correct?

The reason for third statement is reflexive property and the reason for fourth statement is SAS.

Step-by-step explanation:

Given information: and XZ bisects angle WXY.

To prove:

Statement                                                        Reason

                                    (Given)

        (XZ bisects angle WXY)

                                     (Reflexive property)

  SAS

Reflexive property states that a line is congruent to itself.

SAS postulate states that two triangle are congruent If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle.

Therefore the reason for third statement is reflexive property and the reason for fourth statement is SAS.

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2