Point Z is the incenter of ΔWXY. Point Z is the incenter of triangle W X Y. Lines are drawn from point Z to the sides of the triangle to form line segments Z B, Z C, and Z A.
Which statements are true? Check all that apply.

m∠ZYX = m∠ZXY
ZX bisects ∠WXY
BZ = WZ
The circle inscribed in ΔWXY will have a center at point Z.
Point Z is equidistant from the sides of ΔWXY.

Can someone show me the steps to solve the problem?

When george started his current job, his employer told him that at the end of the first year, he would receive two vacation days. after each year worked, his number of vacation days will double up to five work weeks (25days) of payed vacation. how many vacation days will he have in 4 years

In a survey of 1015 adults, a polling agency asked, "when you retire, do you think you will have enough money to live comfortably or not. of the 1015 surveyed, 534 stated that they were worried about having enough money to live comfortably in retirement. construct a 90% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.