Answer:
26.
Step-by-step explanation:
As the vertex angles are equal:
24/54 = x / x+10
54x = 24x + 240
30x = 240
x = 8
So EG = x + x + 10
= 8 + 8 + 10
= 26..
Answer:
y = - 
x + 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = 
x + 
← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - , thus
y = - x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - 
+ c ⇒ c = - 2 + =
y = - x + ← equation of perpendicular line
1) The coordinates of X are (1, -3)
2) When you reflect over a line parallel to the y-axis the x-coordinate does not change, so the x-coordinate of X' is 1.
3) The vertical distance between the point X (1, - 3) and the line y = 1 is 1 - (-3) = 1 + 3 = 4.
4) The vertical distance of the point X' has to ve the same, 4, and the point X' will be 4 units over the line y = 1. That leads to y = 1 + 4 = 5.
So the y-coordinate of the point X' is 5.
5) Conclusion the coordinates of the point X' are x = 1, y = 5, i.e.point (1,5)
