N/2-2n/16=3/8 what is the value of n?
2 answers:
You might be interested in
Answer:
The correct option is A.
Step-by-step explanation:
It is given that the QRST is a parallelogram and the diagonals QS and RT are congruent.
According to the property of parallelogram if the length of diagonals are same, then the parallelogram is rectangle. We can also prove it.
Let QRST be an parallelogram and QS=RT.
In triangles QRT and RQS.
(Diagonals)
(Common side)
(Opposite sides of the parallelogram are same)
So by SSS rule of congruence, triangle QRT and triangle RQS are congruent.
By CPCT,
Since the sum of two consecutive angles of a parallelogram is 180 degree.
Therefore the measure of angle R and angle Q are 90 degree.
Similarly in triangle QST and RTS,
(Diagonals)
(Common side)
(Opposite sides of the parallelogram are same)
So by SSS rule of congruence, triangle QST and RTS are congruent.
By CPCT,
Since the sum of two consecutive angles of a parallelogram is 180 degree.
Therefore the measure of angle S and angle T are 90 degree.
Since the measure of all interior angles of QRST are 90 degree, therefore the parallelogram QRST is a rectangle.
Answer:
10 cm
Step-by-step explanation:
From the diagram,
Applying,
lw = 5/2(bh)..................... Equation 1
Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.
make w the subject of the equation
w = 5(bh)/2l............... Equation 2
From the diagram,
Given: l = 12 cm, b = 6 cm, h = 8 cm
Substitute into equation 2
w = 5(6×8)/(2×12)
w = 10 cm
Hence the width of the rectangle is 10 cm
Answer:
See below.
Step-by-step explanation:
1)
So we have the equation:
To change into the slope-intercept form, we need to isolate the y-variable. Thus, subtract 2x from both sides:
The left side cancels:
Now, divide both sides by 3. The left side cancels:
The slope-intercept form is:
Where m is the slope and b is the y-intercept.
Thus, the slope is -2/3 and the y-intercept is 490.
2)
So, since we already know the y-intercept is 490, plot a point at (0,490).
The slope is too small to use. Thus, multiply the fraction by 100. It is now (-200/300). This means that we move <em>down</em> 200 for every 300 (recall that the slope means rise over run. Thus, we move down 200 for every 300 to the right). Thus, another possible point would be (0+300,490-200) or (300,290). Plot that. Then, connect them.
3)
To write in in function notation, simply substitute the y-variable for the function notation. Our independent variable here is x so we'll use that.
This means that for every x sandwiches made, there is f(x) wraps made for the total sum to be $1,470.
For example, if 105 sandwiches were made, then f(105)=-2/3(105)+490=420 wraps were made for the total profit to be $1,470.
4)
Please refer to the attached graph.
5)
First, since the total profit has now increased, the graph above and to the right of the old graph. This is because Sal needs to sell more sandwiches and wraps. Likewise, because of this, the x- and y-intercepts will also be different. Nevertheless, if converted into the slope-intercept equation, the slope will remain the same.
