The answer is 80°.
If there is a line segment in a triangle which cuts two sides in half or if there is a line segment between two midpoints of a triangle's sides, that line segment must be parallel to the remaining side.
In this case, point L is the midpoint of FH, and point K is the midpoint of HG. So, LK is parallel to FG.
When a line cuts two parallel lines, there are angle pairs which are equal. In the problem above, the line segment FH cuts KL and GF.
The angles KLH and GFH are what we called "Corresponding Angles" and they are equal.
So if HFG is 80°, HLK must be equal to 80°
Answer:
A (2) =4*2 +882
Step-by-step explanation:
The mathematical expression in this case is
(x+3)/2
Answer:
The angle of elevation to the top of the building is 63.61 degrees
Step-by-step explanation:
Here, we want to calculate angle of elevation to the top of the building.
For this, we need a triangle
Please check for this in the attachment.
From the diagram, we are to calculate the angle theta.
To do this, we use trigonometric identities.
Looking at what we have, we have the hypotenuse and the adjacent.
So the trigonometric identity to use is the cosine
Mathematically Cosine theta = adjacent/hypotenuse
Thus, Cos theta = 20/45
Cos theta = 0.444444444444444
Theta = Arc cos(0.444444444444444)
Theta = 63.61 degrees
Answer:
8cm
Step-by-step explanation:
First you must know that the diameter of the semi-circular patio is equal to the length of one side of the square
Area of a semi circle = πr²/2
25.12 = πr²
25.12 = 3.14r²/2
r² = 25.12(2)/3.14
r² = 16
r = √16
r = 4
Get the diameter
d = 2r
d =2(4)
d = 8cm
Hence the length of the side of the square is 8cm
