Answer:
2500
Step-by-step explanation:
a² + 2ab + b²
49² + 98 + 1
Comparing terms
a²= 49²
a= 49
2ab = 98
2× 49 × b = 98
98b = 98
b= 98/98
b = 1
or
b²= 1
b=√1
b= 1
a=49 and b= 1
Hence (a+b)²= (49+1)²
50²= 2500
Answer: m∠1 = 32°
Step-by-step explanation:
Since we have given that
The angled support making angle with the floor = 32°
So, we need to find the measure of angle 1 so that the steps are parallel to the floor.
As we know that "To make parallel to the floor , there should be alternate interior angle which must be equal."
So, m∠1 = 32° ( the angled support making angle with the floor)
Hence, m∠1 = 32°
The formula for calculating the perimeter of the parallelogram is p/2-b=c.
The formula for calculating the perimeter of a parallelogram with sides b and c, for c.
<h3>
What is the perimeter of the parallelogram?</h3>
The perimeter of a parallelogram is the total distance enclosed by its boundary. Since the parallelogram is a type of quadrilateral, thus it has four sides.
Substracting 2b on both side
p = 2b+2c
-2b -2b
p -2b =2c
divide both sides by 2
p/2 -b =c
Therefore we get the formula for calculating the perimeter of the parallelogram is p/2-b=c.
To learn more parallelogram visit:
brainly.com/question/970600
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Given:
CDEF is dilated by a scale factor of 
to form the quadrilateral C'D'E'F'.
To find:
The measure of side E'F'.
Solution:
If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.
CDEF is dilated by a scale factor of to form the quadrilateral C'D'E'F'. So,
From the given figure it is clear that 
. So,
Therefore, the measure of side E'F' is 9 units.
Answer: 4:3.
Step-by-step explanation:
Given: Point P is 
of the distance from M to N.
To find: The ratio in which the point P partition the directed line segment from M to N.
If Point P is between points M and N, then the ratio can be written as
As per given,
Hence, P partition the directed line segment from M to N in 4:3.
