Question

Can someone help answer at least one? :) ty

Answer 1

Answer:

Step-by-step explanation:

a). Ratio of OP and RT = $\frac{OP}{RT}$

                                     = $\frac{12}{3.6}$

                                     = $\frac{10}{3}$

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

    $\frac{OQ}{RS}=\frac{OP}{RT}$

    $\frac{OQ}{4.5}=\frac{10}{3}$

    OQ = $\frac{10\times 4.5}{3}$

    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°