Question

I need help with both geometry questions.

Answer 1

5) x = 5

6) x = 8

Explanation:

5) Since RT is 40 and RS is 15, ST = RT- RS=25

Since ST also equals 5x, 5x = 25 and x = 5.

6) Since ∠CBD and ∠DBA are supplementary, they add up to
`180^\circ`, and because ∠CBD =
`90^\circ`, ∠DBA =
`90^\circ`.

Since ∠DBA - ∠DBE = ∠EBA, ∠EBA =
`90^\circ-40^\circ=50^\circ`.

Also ∠EBA = 6x + 2, so 6x + 2 =
`50^\circ`.

6x = 48, and x = 8.