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)
7a-2b = 5a + b
2a=3b
a = 3b/2
Y=-5/3x+1
I hope this helps!
Answer:
x = 7 and 3/2
Step-by-step explanation:
We can say:
x - 7 = 0 and 2x - 3 = 0
<em>Lets solve for x - 7 = 0 first:</em>
Add 7 to each side of "="
=> <u>x = 7</u>
<em>Now lets solve for 2x - 3 = 0</em>
First add 3 to each side of "="
=> 2x = 3
Now divide each side by 2
<u>=> x = 3/2</u>
Hope this helps!