Hi!
A is <u>FALSE</u> - If you shrink a shape, it is not increased a shape, yet it is still dilating.
B is <u>TRUE</u> - When you dilate an angle, you're really just shortening or lengthening the sides, but the angle isn't changing.
C is <u>FALSE</u> - Explained above.
D is <u>FALSE</u> - Two triangles that are congruent are <em>exactly the same, </em>therefore if you dilate a triangle, you are changing the size so they are not the same.
E is <u>TRUE</u> - Similar shapes are always the same <em>except for their size. </em>When you dilate a shape, you only change the size, therefore they are equal in every other way and they are similar.
The distance between the points (23,-33) and (4,9) rounded to two decimal places is 46.10.
<h3>What is the distance between the points (23,-33) and (4,9)?</h3>
The distance between two points on a graph can be determined using the equation;
D = √[ ( x₂ - x₁ )² + ( y₂ - y₁ )² ]
Given that;
- x₁ = 23
- x₂ = 4
- y₁ = -33
- y₂ = 9
We substitute our values into the equation above.
D = √[ ( x₂ - x₁ )² + ( y₂ - y₁ )² ]
D = √[ ( 4 - 23 )² + ( 9 - (-33) )² ]
D = √[ ( -19 )² + ( 42 )² ]
D = √[ 361 + 1764 ]
D = √[ 2125 ]
D = 46.10
Therefore, the distance between the points (23,-33) and (4,9) rounded to two decimal places is 46.10.
Learn more about distance formula here: brainly.com/question/7592016
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Answer:
15 and 1
Step-by-step explanation:
x and y are two numbers.
Two equations:
x · y = 15
x + y = 16
Rearrange one of the equations (I'll rearrange the sum equation):
x + y = 16
x = 16 - y
Substitute that to the other equation and solve for y:
x · y = 15
(16 - y) · y = 15
16 - y · y = 15
16 - y² = 15
-y² = 15 - 16
-y² = -1
y² = 1
y = √1
y = 1
Now substitute that to any of the equation and solve for x (in here, I'll choose the multiplication one):
x · y = 15
x · 1 = 15
x = 15
Now verify:
15 · 1 = 15
15 + 1 = 16
This is correct
Answer:
C and D are same options
(D)
Step-by-step explanation:
The correct answer is 34.0 ft.
