our lines of symmetry is made limited by the presence of the pentagon. If we slice the pentagon into two, the only line of symmetry we could create would be the line intersecting O and the median of LM. Other lines would not create a symmetrical half.
Therefore the line of reflection is only 1.
questioned answered by
(jacemorris04)
The equation

is plotted on graph below (red line)
Translating

three units to the left can be done by choosing any coordinates on

.
Let choose (0,0) and (2,1)
Translating 3 units on to the left gives the new coordinates (0-3, 0)=(-3,0) and (2-3, 1)=(-1, 1)
The gradient of the two functions will stay the same since the lines are parallel to each other, so m = 0.5
By joining the two coordinates (-3,0) and (-1,1), we see that the translated line crosses y-axis at 1.5
The equation of translated line is given


The given trapezoid will have the sides ST, TV, VU, and US. Each of these can be assigned as base or legs. By this, it can be deduced that the given sides, SV and TU are the diagonals. Because the trapezoid is isosceles, the values of SV and TU should also be equal.
SV = TU
3x - 11 = x + 13
Transpose the terms with x and the constants in each sides of the equation.
3x - x = 13 + 11
2x = 24
<em> x = 12</em>
Thus, the value of x from the equation is 12.
-90 = -100 + x
To solve for X, you need to isolate it ( get it by itself).
Add 100 to each side:
-90 + 100 = -100 + x + 100
Simplify:
10 = x
X = 10
Answer:
Therefore the required value of
is 20 units.
Step-by-step explanation:
Line Segment: Line segment is a portion of a line whose has two end points.
Given that point C is on the line segment
.
= 5x ,
= 4x and
= 4
C is the point of the line segment of
.
So we can write

Putting the values of
,
and 
5x=4x+ 4
⇒5x-4x= 4
⇒x=4
So we get the value of x.
To get the value of
, we need to put the value of x in the value of
.
Therefore,
= 5×4
=20
Therefore the required value of
is 20 units.