Question

Can someone help answer at least one? :) ty

Answer 1

Explanation:

a). Ratio of OP and RT =
`(OP)/(RT)`

=
`(12)/(3.6)`

=
`(10)/(3)`

b). Since ΔOPQ ~ ΔRTS, their corresponding sides will be proportional.

`(OQ)/(RS)=(OP)/(RT)`

`(OQ)/(4.5)=(10)/(3)`

OQ =
`(10* 4.5)/(3)`

OQ = 15 cm

c). m∠P = m∠T = 60°

d). m∠Q = m∠S

By applying angle sum theorem in ΔRST,

m∠R + m∠S + m∠T = 180°

26° + m∠S + 60° = 180°

m∠S = 180° - 86°

= 94°

Therefore, m∠Q = m∠S = 94°