Answer:
Area of the parallelogram is 96 
.
Step-by-step explanation:
A parallelogram is a quadrilateral with parallel and equal length of opposite sides. The diagonals are perpendicular to each other.
Area of a parallelogram is given as,
Area = base x height
Thus for the given parallelogram with base 12 cm and height 8 cm, the area would be;
Area = base x height
= 12 x 8
= 96
Area = 96
The area of the parallelogram is 96 .
Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I
Step-by-step explanation:
8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.
9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.
10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So, b will also equal 70 degrees.
Part B:
1. G
2. J
3. F
4. E
5. B
6. A
7. H
8. C
9. D
10. I
You have to use the formula to find the area of the triangle Remember,the area equation is b times h to the b divided by 2.Doing this will get you 600 m.
Please find the attachment for a better understanding of the explanation to this question.
As we can see from the diagram attached, the X axis represented by XX' and the Y axis represented by YY' intersect each other at the origin represented by O. Further, we notice that this intersection is at the angle 90 degrees or in other words the intersection is perpendicular. Thus, we have seen that the the x and y axes in the xy plane intersect perpendicularly. And hence, the answer is TRUE.
Please note that this is always the case and this is also known as orthogonality.
