Answer:
Step-by-step explanation:
Congruent complements theorem
As two angles are complements of the same angle
Using translation concepts, it is found that the image of point R after the transformations is given by: (1,-2).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The first transformation is:
(x,y) -> (x - 3, y + 5).
Hence:
(2,-3) -> (-1, 2).
For the rotation of 180º counter clockwise, the rule is:
(x,y) -> (-x,-y).
Hence the image is:
(-1,2) -> (1,-2).
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
18 cm²
Step-by-step explanation:
The area labelled A is a triangle.
The area (A) of a triangle is calculated using the formula
A = 
bh ( b is the base and h the height )
here b = 9 and h = 4 ( the same height as the rectangle ), thus
A = × 9 × 4 = × 36 = 18 cm²
Answer:
B
Step-by-step explanation:
A rectangular door for a shed has a width of 42 in and a diagonal support of 94 in. The triangle formed by the rectangle's width (first leg), rectangle's length (second leg) and rectangle's diagonal (hypotenuse) is right triangle. By the Pythagorean theorem,
Thus,
