Answer: x = 27
Step-by-step explanation:
2x+3x+45=180º because all of the angles of a triangle add up to 180
5x=180-45
5x=135
x=135/5
x=27
Answer: 
Step-by-step explanation:
You have the equation
.
Then, to solve for the variable
from the equation you need:
Make the subtraction of the right side of the equation:
(As the denominators are 1 and
, the least common denominator is
)

Multiply
to both sides:

Add
to both sides:

And finally divide both sides by
:

Check the picture below, you can pretty much count the units off the grid for the length and width.
recall area = length * width.
-18 and +2
;;;;;;;;;;;;;;;;;;
Answer: The second option (160 cm)
Step-by-step explanation:
1. You can obtain the perimeter of a quadrilateral by adding the lenghts of the sides.
2. You know that the ratio of the side lengths is 3:3:5:8 and the perimeter is 380 centimeters.
3. Therefore, you can write the following expression, where x is an integer:

4. Solve for x:

5. Therefore, the longest side is:
(160 cm)