Answer:
(12.2,-6.4)
Step-by-step explanation:
The results from Desmos are as shown.
The displayed values are (12.294, -6.353)
Since they're vertical angles, they're equal in degree measure
since they're equal, we can make the two expressions equal to each other
5a - 1 = 2a + 20
add 1 to both sides
5a = 2a + 21
subtract 2a from both sides
3a = 21
divide both sides by 3a
a = 7
now, plug the answer you found for a into one of the two expressions
5a - 1 becomes (5*7) - 1, which equals 34
to double check that they're equivalent (since they're vertical angles)
2a + 20 becomes (2*7) + 20, which equals 34
both angles are 34 degrees!
Answer:
(3x+2)(2x+3)
Step-by-step explanation:
6x2+13x+6
6x2+13x+6
=(3x+2)(2x+3)
Usually, rugs have a rectangular shape, therefore the section of the living room that Patrick wants to cover is a rectangle.
The area of a rectangle can be found by multiplying the length and the width of the rectangle:
A = l × w
Hence, the most appropriate measurements Patrick should provide are the length and the width of the section of his living room he wants to cover.
