Answer:
The Answer is C and D
Step-by-step explanation:
Just did it
Answer:
x=30
Step-by-step explanation:
Find the value of x that will make A and B parallel
For A & B to be parallel, the interior angles must be supplementary, i.e.
4x+2x = 180
6x=180
x=30
When x=30, the interior angles are 120 and 60 which are supplementary.
Answer:
5 Laps
Step-by-step explanation:
The question says that she runs the same distance everyday. This shows us that...
2 laps on a running trail and 6 more miles = 4 laps on a running trail and 2 more miles
We can turn laps into the variable L and miles into the variable M to create an equation
2 L + 6 M = 4 L + 2 M
We can start by subtracting 2 M from both sides to get:
2 L + 4 M = 4 L
Now, we can subtract 2 L from both sides
4 M = 2 L
This tells us that 2 laps are 4 miles which means that 1 lap is 2 miles.
Now, we can break down either side of the equation. Let's break down
2 L + 6 M
First, we can turn the miles into laps. We know that 2 miles is one lap so we can divide 6 by 2. Our Equation:
2 L + 3 L
Now, we can simplify this :
5 L
Now we know that she ran 5 laps on saturday.
Hope this Helps!!! :)
Let me know in the comments if this answer was perfect or if I should change anything!!!
2 lines in a plane can have these positions:
i) they can be
parallel, if they share no common point.
ii) are
intersecting, if they have one common point.
ii) they are
coincident if they have 2 common points.
AB and EB share 1 common point, B, therefore they are
Coincident.
Use the cosine law to answer the question which can be expressed as,
c² = a² + b² -2ab(cos C)
where c is the side opposite to angle C and a and b are the sides adjacent to the angle. Substituting the given values,
c² = 33² + 37² - (2)(33)(37)(cos 120°) = 3679
The value of c is 60.65. Therefore, the length of the third side is approximately 60.65 units.