Explanation:
given,
BD = 7x - 10
BC = 4x - 29
CD = 5x - 9
a/q
BC + CD = BD
so, after inserting the values we got,
4x - 29 + x - 9 = 7x - 10
→ 5x - 38 = 7x - 10
→ 5x - 7x = - 10 + 38
→ 2x = 28
→ x = 28/2 = 14
→ x = 14
therefore value of x is 14
according to the obtained value,
BD = 7x - 10 → 7(14) - 10 = 98 - 10 = 88
BC = 4x - 29 → 4(14) - 29 → 56 - 29 = 27
CD = 5x - 9 → 5(14) - 9 → 70 - 9 = 61
hope this answer helps you dear....take care and may u have a great day ahead!
verifying,
BC + CD = BD
→ 61 + 27 = 88
→ L.H.S = 61 + 27 = 88
so,
LHS = RHS