Step-by-step explanation:
Given information:
A fence on a hill uses vertical posts L and M to hold parallel rails N and P
The diagram is attached below
Here lines N and P are parallel lines
Transversal line for parallel lines N and P is line L
Calculation:
angle 1 and angle 16 are consecutive exterior angles
If parallel lines are cut by a transversal then consecutive exterior angles are supplementary
So measurement of angle 16 = 65 degrees
HOW TO SOLVE:
1) use x as a variable
2) the starting equation is:
4x + 3x + 5x = 18
3) add all the like terms on the left side of the equation:
12x = 18
4) Divide by 12 on both sides:
x=1.5
5) Find the lengths of the sides:
- 4x = 4(1.5) = 6
- 3x = 3(1.5) = 4.5
- 5x = 5(1.5) = 7.5
SO, the lengths of the sides of this triangle are: 6, 4.5, and 7.5
In order to prove the triangle is a right angled triangle we need to prove that the slope of the lines CA and BC and AB have any negative reciprocals.Lets find the slopes .
AB=(-1,3), (1,2) slope of AB = 2-3/1-(-1)= -1/2 slope of AB is -1/2
BC = (1,2), (-3,1) slope of BC is 1-2/-3-1= -1/-4 slope of BC is 1/4
Slope of CA =(-3,1)(-1,3) slope of 3-1/-1-(-3)=-2/-2=1
Since the slopes do not have any negative reciprocals so the triangle is not a right angled triangle
Answer:
2
Step-by-step explanation:
2 is a value of x that would not make the set a function because a function can't have multiple coordinates wit hthe same domain (x-coordinate). 2 is a domain that has already been used in the point (2,7). If this is used in (x,5), the point would become (2,5) and repeat a domain.
Note:
The x-coordinate could also be 1 or 6 because they have been used as domains as well.
Hope it helps!
