Answer:
x = 13
Step-by-step explanation:
6x + 14 + 4x - 8 + 2x + 18 = 180 {Angle sum property of tiangle}
6x + 4x + 2x + 14 - 8 +18 = 180 {Combine like terms}
12x + 24 = 180 {Subtract 18 from both sides}
12x = 180 - 24
12x = 156 {Divide both sides by 12}
x = 156/12
x = 13
Answer:
x = 2.67°
GKJ = 40°
Step-by-step explanation:
Angle HKJ = 6x + 4
Angle HKG = 9x - 4
Segment bisects Angle GKJ, it means that angle HKJ is the same as angle HKG.
You have the measure of both angles in terms of x.
Angle HKJ = Angle HKG
6x + 4 = 9x - 4
4 + 4 = 9x - 6x
8 = 3x
2.67 = x
Angle HKJ:
6(2.67) + 4 = 20°
Angle HKG:
9(2.67) - 4 = 20°
Angle GKJ = HKJ + HKG = 20 + 20 = 40°
Answer:
The answer to your question is: x = 115.5 in
Step-by-step explanation:
Data
Student's height = 5 ft 3 in = 63 in
Student's shadow = 4 ft 6 in = 54 in
Sculpture's shadow = 8 ft 3 in = 99 in
Sculpture's height = ?
Process
Thales' theorem
63 in/54 in = x/99
x = 99 x 63 / 54
x = 115.5 in
Pemdas
exponents first
(x+3)^2=(x+3)(x+3)=x^2+3x+3x+9=x^2+6x+9
multiply
3x(x^2+6x+9)
3x^3+18x^2+27x
The correct answer is 6/21
