Question

I need help with both geometry questions.

Answer 1

Answer:

5) x = 5

6) x = 8

Step-by-step 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.