Answer:
x = 30
Step-by-step explanation:
1/2(x+6) = 18
Distribute
1/2 x + 3 = 18
Subtract 3 from each side
1/2x +3-3 = 18-3
1/2x = 15
Multiply each side by 2
1/2x*2 = 15*2
x = 30
Answer:
5x+5y=15
Step-by-step explanation:
Answer:
55 for the top left and 35 for the top right
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
7x+6 + 6x -7 + 90 = 180
Combine like terms
13x+89 = 90
Subtract 89 from each side
13x+89-89 = 180-89
13x = 91
Divide by 13
13x/13 = 91/13
x =7
The top left angle is
7x+6
7*7+6 = 49+6 = 55
The top right angle is
6x-7
6*7-7 = 42-7 = 35
Answer:
C
Step-by-step explanation:
original formula is: y - y1 = m (x - x1) ordinates= (x1, y1)
insert the a corresponding x and y coordinate:
y + 3 = -2 (x + 9)
Don't forget to change the signs depending on whether their positive or negative:
(3, -9) since 3 is positive but there is a minus in the formula it would be -3
since -9 is negative and in the equation there's a minus sign you would change it to positive. (negative times a negative equals a positive)
Answer: Gustavo is 261.96 meters away from Aiden. Or Aiden is 261.96 meters away from Gustavo.
Step-by-step explanation: From the question, considering a North, East, South and west pole, Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal.
Therefore, Where a and b are distances travelled respectively by Gustavo and Aiden. While θ is the angle between them.the total angle between them is 23 + 33 = 56°. Therefore, let the distance between them be c and we can calculate that using the cosine law.c² = a² + b² – 2ab cos θ. Therefore, let the distance between them be c and we can calculate that using the cosine law.c² = a² + b² – 2ab cos θ.
Therefore, they are 261.96 meters apart.
c² = 300² + 250²– 2(300) (250)cos 56
c² = 90000 + 62500 - 83878.9355
c² = 68621.0645
c = √68621.0645
c = 261.96 m
