Both of the figures have the same perimeter (4n + 4) hence equal in perimeter,
We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the perimeter of a rectangle is 2(length + width) and the perimeter of a square is 4×side.
Given, A rectangle with sides of length n+2 and n.
∴ Perimeter = 2((n + 2) + n)
= 2(2n + 2).
= 4n + 4.
Also given, A square with sides of length n + 1.
∴ Perimeter = 4(n + 1).
= 4n + 4.
So, yes the two shapes are equal in the perimeter.
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Answer:
yes
Step-by-step explanation:
Answer: y = 4x + 5
Step-by-step explanation:
Find the slope of the second line.
4x - y = 12
-y = -4x + 12
y = 4x - 12
slope = 4
Therefore, the slope of the second line must also be 4.
Use point-slope form to write the equation.
y + 3 = 4(x + 2)
y = 4x + 5
The required simplified value of the t in the given proportion is given as t = 48.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given the expression of proportion,
t/16 = 40 / 50
t / 60 = 4 / 5
Multiply both sides by 60,
t / 60 × 60 = 4 / 5 × 60
t = 4 × 12
t = 48
Thus, the required simplified value of the t in the given proportion is given as t = 48.
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The time-duration "63-months" in years can be expressed as 5.25 years.
To determine the length of 63 months in years, we divide 63 by the number of months in a year, which is 12.
Dividing 63 by 12 yields a quotient of 5 with a remainder of 3.
This means that 63 months is equivalent to 5 years and 3 months.
To express it completely in years, we consider the fraction of the year represented by the remaining 3 months.
Since there are 12 months in a year, 3 months is equivalent to 3/12 which 1/4 of a year = 0.25 year.
Therefore, 63 months is approximately 5.25 years.
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Answer:
1) Linear Pair
2) Adjacent
3) Complmentary
4) Vertical
B) at least one pair of congruent sides and one pair of congruent angles
C) congruent corresponding angles and proportional side lengths
D) a right angle and a hypotenuse
Answer:
The correct answer is C). congruent corresponding angles and proportional side lengths
Step-by-step explanation:
Similar Triangles : The two triangles are said to be similar to each other if their all corresponding angles are congruent to each other and the corresponding sides are proportional to each other.
Now, Given that two acute triangles are similar.
So, By using the definition of similarity of two triangles
We can conclude that :
All the corresponding angles of the acute triangles will be congruent to each other.
Also, The sides of both the acute triangles will be proportional to each other.
Therefore, The correct answer is C). congruent corresponding angles and proportional side lengths