Answer:
where is the diagram?
Step-by-step explanation:
attach the diagram
Answer:
![67.5\text{ [square units]}](https://tex.z-dn.net/?f=67.5%5Ctext%7B%20%5Bsquare%20units%5D%7D)
Step-by-step explanation:
The composite figure consists of one rectangle and two triangles. We can add up the area of these individual shapes to find the total area of the irregular figure.
<u>Formulas</u>:
- Area of rectangle with base
and height
:
- Area of triangle with base
and height
:
By definition, the base and height must intersect at a 90 degree angle.
The rectangle has a base of 10 and a height of 5. Therefore, its area is
.
The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is
.
Finally, the larger triangle on top of the rectangle has a base of 5 and a height of 5. Therefore, its area is
.
Thus, the area of the total irregular figure is:
![50+5+12.5=\boxed{67.5\text{ [square units]}}](https://tex.z-dn.net/?f=50%2B5%2B12.5%3D%5Cboxed%7B67.5%5Ctext%7B%20%5Bsquare%20units%5D%7D%7D)
(180-14):2= 166:2= 83° (smaller angle)
(180-14):2+14= 166:2+14= 83+14= 97° (bigger angle)
Determine whether the point 1,5 is a solution to the system of inequalities below y>3x , y>/2x+1