The map (x, y) -> (x + 2, - y - 2) would map triangle ABC to a similar, but not congruent triangle.
What is triangle ?
A triangle is a closed two-dimensional figure with three straight sides and three angles. The sum of the angles in a triangle is always 180 degrees. The three sides can be of different lengths, and the three angles can also be of different measures. Triangles are important geometric shapes and are used in many fields, such as mathematics, engineering, and architecture.
To determine which transformation maps triangle ABC to a similar but not congruent triangle, we need to understand the characteristics of similarity and congruence in triangles.
Two triangles are congruent if they have the same shape and size, and their corresponding sides and angles are equal. Two triangles are similar if they have the same shape, but not necessarily the same size, and their corresponding angles are equal.
In the given answer choices, the transformation (x, y) -> (- y, - x) is a reflection over the line y = x, which means it reverses the position of x and y coordinates. This transformation does not preserve the angles of the triangle, and therefore does not result in a similar triangle.
The transformation (x, y) -> (-4x, -4y) is a dilation with a scale factor of 4, which means it increases the size of the triangle by a factor of 4. This transformation preserves the angles of the triangle, and therefore results in a similar triangle that is also congruent.
The transformation (x, y) -> (x + 2, - y - 2) is a translation that moves the triangle 2 units to the right and 2 units down. This transformation preserves the angles of the triangle, and therefore results in a similar triangle.
The transformation (x, y) -> (-y + 2, x + 2) is a rotation of 90 degrees counterclockwise around the point (2, -2). This transformation preserves the angles of the triangle, and therefore results in a similar triangle.
Therefore, the map (x, y) -> (x + 2, - y - 2) would map triangle ABC to a similar, but not congruent triangle.
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A) y = 96; The maximum number of moose that the forest can sustain at one time.
B) x = 96; The maximum number of moose that the forest can sustain at one time.
C) x = -1.6; The minimum number of moose that the forest can sustain at one time.
D) y = -1.6; The minimum number of moose that the forest can sustain at one time.
To calculate the cost per patient over the four-year period, we need to add up the costs for each year and then divide by the number of years.
The costs per patient for the four years are:
Year 1: $43
Year 2: $46.5
Year 3: $49.8
Year 4: $53.63
To find the total cost over the four years, we add up these costs:
$43 + $46.5 + $49.8 + $53.63 = $193.93
Now, we divide the total cost by the number of years (which is 4) to find the average cost per patient over the four-year period:
$193.93 / 4 = $48.48
Therefore, the cost per patient over the four-year period is approximately $48.48.
The cost per patient over the four-year period is $193.16.
To find the cost per patient over the four-year period, we need to calculate the percent increase for each year and then multiply the percent increase by the previous year's cost. Here are the steps:
Therefore, the cost per patient over the four-year period is $193.16.
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how many observations are in this data set?
Answer:
16
Step-by-step explanation:
count the dots. each is one observation
Answer:
c+2
Step-by-step explanation:
Distribute the Negative Sign:
=9c2+3c+9+−1(9c2+2c+7)
=9c2+3c+9+−1(9c2)+−1(2c)+(−1)(7)
=9c2+3c+9+−9c2+−2c+−7
Combine Like Terms:
=9c2+3c+9+−9c2+−2c+−7
=(9c2+−9c2)+(3c+−2c)+(9+−7)
Answer:
c + 2
Step-by-step explanation:
(9c² + 3c + 9) - (9c² + 2c + 7)
9c² + 3c + 9 - 9c² - 2c - 7
9c² + 3c + 9 - 9c² - 2c - 7
c + 2
“Iran declares war on the United States”
“School in China raises $5,000 for cancer research”
“Company closes in Alaska, lays off 2 people”
WHO EVER ANSWERS FIRST I WILL GIVE BRAINLIEST PLSE HELP ME
Answer:
I personally think B but I do not know for sure.
Step-by-step explanation: