Question

PT=4/5TQ, PQ=18
Find PT.
Segment Addition Postulate
PT+TQ=PQ

Answer 1

\[\large PT+TQ=PQ\]\[ \large \implies PT+TQ=18\]

and since,
\[\large PT=\frac 45 \times TQ\]\[\large \implies TQ=\underline{\frac 54 \times PT}\]
replace this for TQ in the previous equation and solve for PT

Answer 2

\[\Large \implies PT + \frac 54 \cdot PT =18\]

Answer 3

Why is it 5 over 4?

Answer 4

if PT = 4/5 TQ ,

then TQ = 5/4 PT

Answer 5

k

Answer 6

So multiply 18 times 5/4?

Answer 7

first add PT + 5/4 PT

Answer 8

Can you do the equation step by step to the answer because im confused

Answer 9

\[PT +\frac 54PT \\= PT \left( 1+\frac54 \right)\]

Answer 10

\[=PT \times \left( \frac94 \right)\]

Answer 11

k got that whats next?

Answer 12

multiply both sides by 4/9...

\[PT \times \frac 94 \times \frac 49=18 \times \frac 49\]

\[\implies PT \times \frac {\cancel9}4 \times \frac 4{\cancel9}=18 \times \frac 49\]\[\implies PT \times \frac {\cancel9}{\cancel4} \times \frac {\cancel4}{\cancel9}=18 \times \frac 49\]
\[\Large \implies PT =18 \times \frac 49\]

Answer 13

\[\Large \implies PT =2\cancel{18} \times \frac 4{\cancel9}=\color{green}8\]

Answer 14

Thanks I understand so much more clearly now.