The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.
Answer:
![CD = 3](https://tex.z-dn.net/?f=CD%20%3D%203)
Step-by-step explanation:
Given
![CD = x](https://tex.z-dn.net/?f=CD%20%3D%20x)
![BC = 5x - 5](https://tex.z-dn.net/?f=BC%20%3D%205x%20-%205)
![BD = 2x + 7](https://tex.z-dn.net/?f=BD%20%3D%202x%20%2B%207)
Required
Determine CD
Since, C is a point on BD, the relationship between the given parameters is;
![BD = BC + CD](https://tex.z-dn.net/?f=BD%20%3D%20BC%20%2B%20CD)
Substitute the values of BD, BC and CD
![2x + 7 = 5x - 5 + x](https://tex.z-dn.net/?f=2x%20%2B%207%20%3D%205x%20-%205%20%2B%20x)
Collect Like Terms
![2x - 5x - x = -5 - 7](https://tex.z-dn.net/?f=2x%20-%205x%20-%20x%20%3D%20-5%20-%207)
![-4x = -12](https://tex.z-dn.net/?f=-4x%20%3D%20-12)
Divide both sides by -4
![\frac{-4x}{-4} = \frac{-12}{-4}](https://tex.z-dn.net/?f=%5Cfrac%7B-4x%7D%7B-4%7D%20%3D%20%5Cfrac%7B-12%7D%7B-4%7D)
![x = 3](https://tex.z-dn.net/?f=x%20%3D%203)
To determine the length of CD;
Substitute 3 for x in ![CD = x](https://tex.z-dn.net/?f=CD%20%3D%20x)
Hence;
![CD = 3](https://tex.z-dn.net/?f=CD%20%3D%203)
Step-by-step explanation:
area = ( base 1 + base 2 ) ÷ 2 x height
50 = ( 10 + 15) ÷2 x height
50 ÷ 12.5 = height
height = 4
Answer:
60 for both
Step-by-step explanation:
Since these angles are parallel, they are equal to each other :
6x = 5x + 10
Subtracting 5x from both sides gives us :
x = 10
Substituting this value back into both angles gives us
6x = 60
5x+10 = 60