With these transversals across parallel lines the angles are either congruent or supplementary (adding to 180) and its pretty easy to figure out which is which, obtuse verse acute in the figure.
Each yellow circle indicates x and the path to the next square. So for example the Start has alternate interior angles, which are congruent, so x is 141 degrees.
Answer:
The area of the carpet which is square in shape is 81
Step-by-step explanation:
Given:
side of the carpet square = 9 inches
To Find:
area of the carpet square = ?
Solution:
The area of the carpet = area of the square
we know that the area of the square is
=> side X side
Substituting the side of the square, we get
=> 9 X 9
=> 81
Answer:
<h3><u>Question 7</u></h3><u>Lateral Surface Area</u>
The bases of a triangular prism are the triangles.
Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the triangles (bases).
<u>Total Surface Area</u>
Area of the isosceles triangle:
Total surface area:
<u>Volume</u>
<u>Lateral Surface Area</u>
The bases of a hexagonal prism are the pentagons.
Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the pentagons (bases).
<u>Total Surface Area</u>
Area of a pentagon:
where a is the side length.
Therefore:
Total surface area:
<u>Volume</u>