Answer: They are not congruent.
Step-by-step explanation:
You need to find the distance between these points to find congruence. If just one of these doesn't match with its corresponding side, its not congruent.
DE: square root of 68
_
GH: square root of 53
DE and GH are corresponding, but they are not congruent so these polygons are not congruent.
Answer:
C). Circle Graph
Step-by-step explanation:
As per the question, a '<u>circle graph</u>' would be most adequate to display that the majority of the teenagers prefer to do their study and homework in their bedrooms. <u>A circle graph or pie-chart represents the data in a visually appealing manner using colors to display various proportions of the data that makes it easy to understand for the readers</u>. Thus, <u>more than half of the circle filled with the same color will clearly hint that most of the teenagers love doing their studies in their bedroom</u>. Thus, <u>option C</u> is the correct answer.
Answer: 2(4x+y+2) (*  ̄︿ ̄)
Step-by-step explanation:
A) f(x) is decreasing because the base is less than 1.
0.56 is close to 0.5, so its like saying that you are taking half each time, therefore the value is getting smaller.
g(x) is increasing because the base is greater than 1.
you are multiplying by 4 each time, making the value bigger.
B ) The y-intercept is where x=0.
Anything to the '0' power is 1. Therefore the y-intercept is equal to the coefficient in front of each function.
f(x) = 3 , g(x) = 6
C) Just plug in x=4 to each function in a calculator.
f(4) = 0.295
g(4) = 1536