Look at the figure below: Triangle NPM has the measure of angle NPM equal to 50 degrees. T is a point on side PM. Points N and T are joined by a straight

Make a two-column proof showing statements and reasons to prove that triangle NMT is similar to triangle PMN

Angle 50 and common side, in triangle MNT the sum of angles m and t is 130. In triangle PMN the sum of angles n, m is 130

Step-by-step explanation:

Got 100% on the test

Step-by-step explanation:

We have to prove that triangle NMT is similar to triangle PMN  

Statement:    Angle NPT = 50, Angle TNM = 50                                                                                                Reason:         Given

Statement: Angle NPT equals Angle TNM                                                                             Reason: Given

Statement: Angle M is congruent to Angle M                                                               Reason: Reflexive property of congruence

Statement: NM = NM                                                                                                     Reasom: Reflexive property of equality

Statement:Therefore ΔNMT is similar to ΔPMN

Reason: AA Similiraty                                                                  

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation:

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)