Respuesta :

PunIntended

If the two triangles share the top angle R and QS is parallel to PT, then the small triangle and the big triangle are similar. This means that RQ:RP = RS:RT

RQ:RP = 5:(5 + 8) = 5:13

RS:RT = 15:(15 + x + 3) = 15:(x + 18)

Written as proportions:

5/13 = 15/(x + 18)

Cross multiply:

5 * (x + 18) = 13 * 15

5x + 90 = 195

5x = 105

x = 21

The answer is (B).

we can use similar triangle method

PQ=8

QR=5

RS=15

ST=x+3

PR=RQ+QP

PR=8+5=13

RT=RS+ST

RT=15+x+3

RT=x+18

we know that smaller triangles and larger triangles are similar

so, we can find ratio of their sides

[tex] \frac{RQ}{RP} =\frac{RS}{RT} [/tex]

now, we can plug values

[tex] \frac{5}{13} =\frac{15}{x+18} [/tex]

now, we can solve for x

[tex] 5(x+18) =13*15 [/tex]

we will get

x=21

[tex] x=21 [/tex]

so, option-B..........Answer

Otras preguntas