Answer:
∠b + ∠c + ∠e = 120°
Step-by-step explanation:
From the attached figure,
∠b + ∠e + ∠a = 180° (Linear pair)
Given that, ∠a = 90°
∠b + ∠e = 90° ...(1)
Also,
∠c + ∠d = 180° (Linear pair)
Given that,
∠d = 150°
∠c = 180°-150°
= 30°
Adding ∠c to both sides of the equation (1).
∠b + ∠e + ∠c= 90° + ∠c
∠b + ∠c + ∠e = 90° + 30°
= 120°
Hence, the meaure of ∠b + ∠c + ∠e is equal to 120°
The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.
<h3>What is a rectangle?</h3>
It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.
Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).
Then the area of the rectangle is given as
Area = l × w
Then we have
w(2w + 5) = 50
More about the rectangle link is given below.
brainly.com/question/10046743
Answer:
The area of square 2 is 130 units square
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of a square is

where
b is the length side of the square
Let
b1 ----> the length side of square 1
b2 ----> the length side of square 2
b3 ----> the length side of square 3
Applying the Pythagoras Theorem
-----> equation A
we have


Remember that

so


substitute in the equation A and solve for b2^2

therefore
The area of square 2 is 130 units square