Answer:
28 inches
Step-by-step explanation:
Answer:
The length of the sides are 11.5 + 11.5 + 11 + 11.
Step-by-step explanation:
Because this is the perimeter of a quadrilateral, there have to be four numbers that you add together. Since you cannot divide 45 by four evenly, you have to look at the remainder of the quotient that you get from 45/4. The answer is 11 r1. Now you can take the remainder and split it in half to get 11.5. You have to use that number for two of the sides because this is a quadrilateral. When you add these two sides up, you get 23.0 or just 23. However, you need four sides, so you now take the other two 11s from the division and add those together to get 22. 22 + 23= 45.
-3x + y = 4
Solve for y
y = 3x + 4
Plug this y value into the other equation.
-9x + 5y = -1
-9x + 5(3x + 4) = -1
Distribute 5(3x + 4)
-9x + 15x + 20 = -1
Subtract 20 from both sides
-9x + 15x + 20 - 20 = -1 - 20
-9x + 15x = -21
Combine like terms
6x = -21
Divide both sides by 6
6/6 x = -21/6
1x = -21/6
x = -7/2
x = -3.5 or -7/2
Plug this value into an equation to solve for y.
-3(-3.5) + y = 4
10.5 + y = 4
Subtract both sides by 10.5
10.5 - 10.5 + y = 4 - 10.5
y = -6.5
Check this answer by plugging the value of x into the other equation.
-9(-3.5) + 5y = -1
31.5 + 5y = -1
Subtract both sides by 31.5
31.5 - 31.5 + 5y = -1 - 31.5
5y = -32.5
Divide both sides by 5
y = -6.5 or -13/2
Therefore the solution is ( -3.5 , -6.5 )
That statement is true. According to the Vertical Angles Postulate, if two angles are vertical angles, then they are congruent (have equal measures).