Decide whether enough information is given to prove that the triangles are congruent using the ASA Congruence Theorem. If so, write a proof. If not, explain why. △WXZ, △YZX
A: yes; It is given that WZ||YX. ∠WXZ is supplementary to ∠ZWX and ∠WZX is supplementary to ∠XYZ by the Consecutive Interior Angles Theorem. Also, ZX≅ZX by the Reflexive Property of Congruence. So, △WXZ≅△YZX by the ASA Congruence Theorem.

B: yes; It is given that WZ||YX. ∠WXZ≅∠YZX and ∠WZX≅∠YXZ by the Alternate Interior Angles Theorem. Also, ZX≅XZ by the Reflexive Property of Congruence. So, △WXZ≅△YZX by the ASA Congruence Theorem.

C: no; there is only enough information to conclude that one pair of angles and one pair of sides are congruent. So, ASA does not apply in this case.

D: no; The information given applies to two angles and a non-included side. So, ASA does not apply in this case.

Simplify 15(x - 4)(x -1)-3(x + 4)(x - 1) with steps

Name and describe the three most important measures of central tendency. choose the correct answer below. a. the mean, sample size, and mode are the most important measures of central tendency. the mean of a data set is the sum of the observations divided by the middle value in its ordered list. the sample size of a data set is the number of observations. the mode of a data set is its highest value in its ordered list. b. the sample size, median, and mode are the most important measures of central tendency. the sample size of a data set is the difference between the highest value and lowest value in its ordered list. the median of a data set is its most frequently occurring value. the mode of a data set is sum of the observations divided by the number of observations. c. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is the product of the observations divided by the number of observations. the median of a data set is the lowest value in its ordered list. the mode of a data set is its least frequently occurring value. d. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is its arithmetic average. the median of a data set is the middle value in its ordered list. the mode of a data set is its most frequently occurring value.

Need same math paper but the back now i hope your able to read it cleary i need with hw