Answer:
74
Step-by-step explanation:
Order of operations: PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)
5(9)+2(6) ÷ 3 + 
= 45+12÷ 3 +25
=45+4+25
=74
Ab = (7x-6) → b = (7x-6)/a (1)
bc = (12-2x) → b = (12-2x)/c (2)
Since (1) = (2) → (7x-6)/a = (12-2x)/c OR a/c = (7x-6)/(12-2x) (3)
Multiply both numerators of (3) by the SQUARE of their respective denominators;
(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:
ac = (7x-6)(12x-2x) or ac = -14x² + 96x - 72
Answer:
AD = 84
Step-by-step explanation:
Since B is the midpoint of AC then AB = BC = 2x - 5
Since C is the midpoint of AD then AC = CD, thus
AB + BC = CD, that is
2x - 5 + 2x - 5 = x + 29
4x - 10 = x + 29 ( subtract x from both sides )
3x - 10 = 29 ( add 10 to both sides )
3x = 39 ( divide both sides by 3 )
x = 13
Hence
AD = AB + BC + CD
= 2x - 5 + 2x - 5 + x + 29 = 5x + 19, thus
AD = (5 × 13) + 19 = 65 + 19 = 84