You have to add an attachment of a picture of the problem or at least write down the full question if you would like it to be answered.
Answer:
A. <em>ΔJKL is not congruent to ΔJ'K'L' because the rules do not represent a sequence of rigid motions.</em>
Step-by-step explanation:
ΔJKL is mapped to ΔJ'K'L' using the rules followed by
From geometry we know while rotating, reflecting and translating the size of the figure remains as it is, so they are congruent.
But in case of dilation the figure gets resized i.e their size gets changed. So they are similar not congruent.
In this case, first the triangle goes under i.e 2 units translated to right and 3 units translated to up.
But after then it undergoes , where it undergoes a dilation of factor 2, so it is no more congruent to the original figure.
Answer:
The range of r(x) is .
Step-by-step explanation:
The range of a function is the set of images associated with a given domains. As domain is a discrete set, the range can be determined by evaluating the function at each element in domain:
x = 0
x = 1
x = 2
x = 3
The range of r(x) is .
<span>Equations:
a + b = 16
0.6a + 0.75b = 10.95
------
a + b = 16
60a + 75b = 1095
----------
a = 16-b
12a + 15b = 219</span>
Answer:
180 degrees
Step-by-step explanation:
What we simply want to do here is to find the sum of all the angles marked by Eric as he walks around the triangular path.
From the question, we are told that he walks around and made a complete circuit, marking a specific angle at each corner. So what this translates to is that at each corner, we have an angle, with the three angles marked forming a triangle.
And from preliminary trigonometry, we know that the sum of angles in a triangle is 180. So by adding each of the angles in the triangular part together, we have a total of 180 degrees