Answer:
A
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles.
Call the inside angle D
A+ B + D = 180 sum of the angles of a triangle is 180
C+D = 180 since the form a straight line
Solving for D
D = 180-C
Substitute this into the first equation
A+ B + 180-C = 180
Subtract 180 from each side
A+ B + -C =0
Add C to each side
A + B = C
This proves the theorem
Your answer would be B because even though it's the same shape the red shape is 2 times bigger.......your exponent 4 stays 4
Answer:
Area of the trapezoid is 38 cm²
Step-by-step explanation:
- Step 1: Area of the trapezoid can be found by decomposing it into 2 triangles and a rectangle.
- Step 2: Find area of first triangle. Given base = 5 cm and height = 4 cm
Substitute in formula for area of triangle = 1/2 base * height
Area of triangle, A1 = 1/2 * 5 * 4 = 10 cm²
- Step 3: Find area of rectangle. Given breadth = 4 cm (Same as height of triangles) Length = 6 cm. Substitute in formula for area of rectangle = length * breadth
Area of rectangle, A2 = 4 * 6 = 24 cm²
- Step 4: Find area of second triangle. Given height = 4 cm (same as the other triangle) and base = 2 cm (8 cm - 6 cm)
Substitute in formula for area of triangle = 1/2 base * height
Area of triangle, A3 = 1/2 * 2 * 4 = 4 cm²
- Step 5: Calculate total area = A1 + A2 + A3 = 10 + 24 + 4 = 38 cm²
The solution is actually pretty simple. All you have to do is plug the numbers in corresponding the letters like a with a b with b and calculate
7). 6(6)+(5)^2-(3)^2=52
And you do the same thing with 8) you get 180
Hope this helps always remember soh = sin cah = cos & toa = tan so remember you are looking for the opp and adj
