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:
true
Step-by-step explanation:
Answer:4/6
Step-by-step explanation:because we multiply the fraccion by 2
Answer:
B. To determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar.
Step-by-step explanation:
Given that:
sample size = 1026
sample proportion = 0.36
Margin of error = 55% = 0.55
Confidence interval level = 99%
The purpose of this question is to determine the research objective:
The research objectives indicate the intention of the study, the objectives,\ or the main idea. This main idea arises from a need (the research problem) and refined into specific questions (i.e. the research questions). From, the given information, the research objective is to determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar.
Answer:
From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees
Step-by-step explanation:
Given that the triangles are eight in number we have;
1) (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down
2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns
3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top
4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°
5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew
6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.