Answer:
x = 104
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
24+x = 128
Subtract 24 from each side
24+x-24 =128 -24
x =104
Answer:
48 units
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given


Required
The equation of the perpendicular bisector.
First, calculate the midpoint of the given endpoints



Open bracket


Next, determine the slope of the given endpoints.




Next, calculate the slope of the perpendicular bisector.
When two lines are perpendicular, the relationship between them is:

In this case:

So:


Since the slope is
, the equation is:

Where:

Recall that:

So:

Hence, the equation is:

Look at the picture.

For XY and ZX use the Pythagorean theorem.


The perimetero fo XYZ:

Answer:
inches
Step-by-step explanation:
The total length of pipe is 10 2/3rd inches
It is cut into 8 equal pieces
We need to divide total length by 8 to get length of each piece. First, we have to convert mixed number (total length) to improper fraction by using formula shown below:

So,

Each piece length is:

So, each piece is
inches