The length of side of garden are 76 feet and 49 feet
<em><u>Solution:</u></em>
Given that, Elias has decided to fence in a garden that is in the shape of a parallelogram
Measure of one side = 76 feet
250 ft of fencing is needed to enclose the garden
Therefore, perimeter = 250
<em><u>The perimeter of parallelogram is given by:</u></em>
Perimeter = 2(a + b)
Where, a and b are the length of sides
Here, a = 76
b = ?
<em><u>Substituting in formula, we get</u></em>
250 = 2(76 + b)
250 = 152 + b
2b = 250 - 152
2b = 98
b = 49
Thus the length of side of garden is 49 feet
<em><u>Question:</u></em>
The equations in this system were added to solve for x. What is the value of x? -2x+y=8 5x-y=-5 3x=3
Options:
x = negative 3
x = negative 1
x = 1
x = 3
<em><u>Answer:</u></em>
The value of x is 1
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
-2x + y = 8 ------- eqn 1
5x - y = -5 ------- eqn 2
The above equations are added to solve for "x"
Add eqn 1 and eqn 2
-2x + y + 5x - y = 8 - 5
Combine the like terms
-2x + 5x + y - y = 3
Add the like terms
3x + 0 = 3
3x = 3
Divide both sides of equation by 3
x = 1
Thus the value of x is 1
I am fairly certain it is C
Okay, I will give you the building blocks for solving this equation.
Now something you will need to remember is that a triangle will always add up to 180 degrees.
We can use y as that one unknown side in the triangle.
Knowing this, we can say (9x+16) + (6x+15) + y = 180
Then we can combine like terms like so : 15x+31+y = 180
There are two variables though. So we need more information.
Well, turns out we have the exterior angle of a straight line and the angle measures of a straight line must equal 180. We can now use (19x+3) + y = 180.
With both of these equations, you can now solve and find both of the angles
The answer is b, f[c(p)]=0.9265p.
f[c(p)]=f(0.85p)=1.09(0.85p)=0.9265p
