ALGEBRA Identify the similar triangles. Then find each measure.
BE, CE
B
x+4
E
14
А
с
20
O A ABC ~ ADBE: BE = 7; CE = 3
O AABC ~ ADBE; BE = 14; CE = 7
O AABC - ADBE; BE = 15; CE = 6
O A ABC ~ ADBE:BE = 21; CE = 5
Tom can paint the fence in 12 hours, but if he works together with a friend they can finish the job in 8 hours. how long would it take for his friend to paint this fence alone?
1. ∠1 is complementary to ∠2 and ∠3 is complementary to ∠2. subtraction property of equality 2. m∠1 + m∠2 = 90 and m∠3 + m∠2 = 90 substitution 3. m∠1 + m∠2 = m∠3 + m∠2 definition of complementary 4. m∠1 = m∠3 given