Answer:
39 degrees
Step-by-step explanation:
by using the first statement,
UWV + VWX = 180
UWV + 6x-3 = 180
UWV = 180+3-6x
= 183-6x
by using second statement,
UWV+WVU+VUW=180
substituting the values,
183-6x+2x+5+x+13=180
201-3x=180
substracting 180 from both sides,
21=3x
dividing both the sides by 3,
7=x
the angle VWX=6x-3
substituting 7=x,
VWX=6(7)-3= 39.
Answer: Endpoint = (-4,6)
Step-by-step explanation:
To find any endpoint use the formula
multiply each by 2 to simplify
take the equations and simplify
6+ = 2 -2+
= 4 =
-6 -6 +2 +2
= -4
= 6
To check use the Midpoint formula
Answer:
36 miles
Step-by-step explanation:
His entire journey, represented with a diagram, is in the shape of a right angle triangle.
We need to first find the hypotenuse of the triangle, then, add all the sides together:
hyp² = opp² + adj²
hyp² = 9² + 12²
hyp² = 81 + 144 = 225
Find the square root of both sides:
hyp = 15 miles
Therefore, adding the three sides together:
Total distance traveled = 9 + 12 + 15
Total distance traveled = 36 miles
He would ride 36 miles altogether.
Answer:
x =
Step-by-step explanation:
Distributive Property:
3 (x - 4) = 12x
3x - 12 = 12x
Combine like terms and isolate the variable:
3x - 12 = 12x
-12 = 9x
= x
x =