Question

Please help with questions 4,5 and 6!

Answer 1

Explanation:

4) ∠CTB , ∠PTA are vertical angles

If sum of two angles add up to 90, then they are Complementary angles.

If sum of two angles add up to 180, then they are Supplementary angles.

∠FTA and ∠ATR are supplementary angles

5) ( 1 , 2 ) & (3 , 6)

`Midpoint=\left((x_(1)+x_(2))/(2),(y_(1)+y_(2))/(2)\right)`

`= \left((1+3)/(2),(2+6)/(2)\right)\\\\=\left((4)/(2) \ , (8)/(2)\right)`

`\=\left((4)/(2),(8)/(2)\right)`

= (2 , 4)

6) Distance =
`\sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

`=\sqrt{(3-1)^(2)+(6-2)^(2)}\\\\=\sqrt{2^(2)+(4)^(2)}\\\\=√(4+16)\\\\=√(20)\\\\= 4.47`