Perimeter = AB + BC + AC = 4 + 5 + 3 = 12 cm.
Let two angles be x and 2x
Given that, angles are supplementary
∴x+2x=180o
⇒3x=180
⇒x= 3
180o
⇒x=60 o
Therefore, bigger angle is 2x=120∘
Let's denote the width as w and the length as 3w (since the length is thrice the width).
The area of the window is:
w × 3w = 3w²
Given area = 18.75 sqm
3w² = 18.75
w² = 18.75 / 3
w² = 6.25
w = √6.25
w = 2.5
Length = 3w
= 3 × 2.5
= 7.5
An angle inscribed in a semicircle is always 90° due to the Thales' Theorem.
It is called a right angle because the angle subtended by a diameter is always right.
The graph shows that Todd ate a significantly larger portion than Rick, then Rick 25% and Todd 75% is accurate.
The number of binary relations in A × B is the number of subsets of A × B.
A has 2 elements and B has 3 elements, so A × B has 2 * 3 = 6 elements.
The number of subsets of A × B is 2^(number of elements in A × B)
= 2^6
The area of a square is found by squaring the length of one side: Area = side × side = x × x = x².
So, if the side is x, the area is x².
A bisector of an angle divides the angle into two equal parts.
It is a line or ray that starts from the angle's vertex and splits it evenly.
Sum of angles in a quadrilateral = 360°
Given angles:
Add them:
109 + 67 + 82 = 258°
Now subtract from 360°:
360° − 258° = 102°
