Step-by-step explanation:

18x³y⁴
2/3 x + 1 = 27
subtract 1 from each side
2/3 x = 26
multiply by 3/2
3/2 * 2/3 x = 26 * 3/2
x = 39
The length of a side of a triangle must be less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.
12 in. + 14 in. = 26 in.
14 in. - 12 in. = 2 in.
The third side must measure more than 2 inches and less than 26 inches, but we are told that the 14-inch side is the longest side of the triangle, so the third side must measure less than 14 inches. The largest whole-number length less than 14 inches is 13 inches.
Answer: It measures 13 inches.
The two equations are:
x = 5y - 18 (vertically opposite angles are equal)
x + y = 180 (Alternate angles , adjacent angles on a straight line)
x = 5y - 18 ---------------- (1)
x + y = 180 ---------------- (2)
From (2):
x + y = 180
y = 180 - x ---------------- Sub into (1)
x = 5(180 - x) - 18
x = 900 - 5x - 18
6x = 882
x = 147 ---------------- Sub into (2)
x = 147
y = 180 - 147 = 33
Answer: x = 147, y = 33
From the diagram, all three angles are 90° (Diagonals of a Rhombus)
Angle 1 = 9x = 90
⇒ 9x = 90
x = 90/9
x = 10
Angle 2 = y + x = 90
⇒ y + x = 90
since x = 10,
y + 10 = 90
y = 90 - 10
y = 80
Angle 3 = 15 z = 90
⇒ 15z = 90
z = 90/15
z = 6
Answer is Option C
<span>C. x = 10, y = 80, z = 6</span>