Question

help please , correct answer will mark as a BRAINLIEST.​

Answer 1

Step-by-step explanation:

let RS be X

then ST be 21-X

∆RAS ~ ∆TES (similar)

so,

RA/ET= RS/TS

6/8 = X/21-X

6(21-x)= 8x

126-6x= 8x

126= 14x

9= x

RS= 9

TS= 21-x

TS= 21-9= 12

#666

Answer 2

Answer:

10.5 units

Step-by-step explanation:

In the given figure:

RA || ET (given)

RT ( the line joining R and T) = 21 units

Angle R = Angle T (opposite angles to the parallel)

AE (the line joining || lines R and T)

Angle A = Angle E (opposite angles to the parallel)

Angle RSA = Angle EST ( Vertically opposite angles)

R = T (proved above)

RSA = EST (proved above)

A = E (proved above)

Thus, ∆RSA =~ ∆EST by AAA criteria.

Thus, RS = ST

RT = 21

ST = 21/2

ST = RS = 10.5

Hope this helped you <3