Answer:
As per the properties of parallel lines and interior alternate angles postulate, we can prove that:

Step-by-step explanation:
<u>Given:</u>
Line y || z
i.e. y is parallel to z.
<u>To Prove:</u>

<u>Solution:</u>
It is given that the lines y and z are parallel to each other.
are <em>interior alternate angles </em>because lines y and z are parallel and one line AC cuts them.
So,
..... (1)
Similarly,
are <em>interior alternate angles </em>because lines y and z are parallel and one line AB cuts them.
So,
...... (2)
Now, we know that the line y is a straight line and A is one point on it.
Sum of all the angles on one side of a line on a point is always equal to
.
i.e.

Using equations (1) and (2):
We can see that:

<em>Hence proved.</em>
Answer:
see the explanation
Step-by-step explanation:
we have

Solve for y

This is the equation of the line in slope intercept form
The slope m of the given equation is

we know that
If two lines are perpendicular,, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
so
Find the slope of the line perpendicular to the given line

we have

substitute


therefore
All equations of the line having as slope
will be perpendicular to the given line.
Answer:
26.5
Step-by-step explanation:
cut the shape into 3 shapes
area of a retangle is = L*W= 5*4 = 20
Area of a triangle = a= h*b/2 = 3*3/2 = 4.5
Area of a triangle = a= h*b/2 = 2*2/2 =2