2. The line segments XW and ZW are congruent because the line segments that are bisected are congruent
4. YW = YW because they are common for both triangles YXW and YZW
YW = YW . They are identical
5. the triangles WXY and WZY are the mirror reflection of one another. because they have common line segment YW and also XW= ZW
6. The triangles WXY and WZY are congruent so the sides lengths and angles are same.Hence XY = ZY
Answer:
ST = 4
Step-by-step explanation:
SR + RT = ST
3 + 1 =ST
4 = ST
ST = 4
Answer:
17th term
Step-by-step explanation:
For some nth term, both series have same term. So,
6n - 21 = 4n + 13
Subtract 4n from both sides
6n - 4n - 21 = 13
2n - 21 = 13
Add 21 to both sides
2n = 13+21
2n = 34
Divide both sides by 2
n = 34/2
n = 17
Check:
6n - 21 = 6*17 - 21 = 102 - 21 = 81
4n + 13 = 4*17 + 13 = 68 + 13 = 81
17th term both the series is 81