All categories

2 years ago

The perimeter of a parallelogram EFGH is 48 in. If EF is 5 in les than EH, find the lengths of all four sides

1 answer:

8 0

Let the lengths of EH and FG = x
Let the lengths of EF and HG = x-5
Solve,
X + X + (X-5) + (X-5) = 48
4X - 10 = 48
4X = 58
X = 14.5
EH= 14.5
FG = 14.5
EF = 9.5
HG = 9.5

You might be interested in

Please help<br> calculate the coefficient of x^14y^4 in the expansion of (x+y)^18

stellarik [79]

..................(1x+14y)4

3 0

3 years ago

If the ratio of the length of segment AC to the length of segment CB is 3:1, what is the y-coordinate of point C?

Yuki888 [10]

Answer:

The coordinates of point C are (8,8.5)

Step-by-step explanation:

The picture of the question in the attached figure

Let

$(C_x,C_y)$ ----> coordinates of point C

we have that

The horizontal distance AB is equal to

$AB_x=10-2=8\ units$

The vertical distance AB is equal to

$AB_y=10-4=6\ units$

Find the horizontal coordinate of point C

we know that

$\frac{AC}{CB}=\frac{3}{1}$

$\frac{AC_x}{CB_x}=\frac{3}{1}$

$AC_x=3CB_x$ ----> equation A

$AC_x+CB_x=8$ ----> equation B

substitute equation A in equation B

$3CB_x+CB_x=8$

$4CB_x=8\\CB_x=2$

$AC_x=3(2)=6$

The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

$C_x=A_x+AC_x=2+6=8$

Find the vertical coordinate of point C

we know that

$\frac{AC}{CB}=\frac{3}{1}$

$\frac{AC_y}{CB_y}=\frac{3}{1}$

$AC_y=3CB_y$ ----> equation A

$AC_y+CB_y=6$ ----> equation B

substitute equation A in equation B

$3CB_y+CB_y=6$

$4CB_y=6\\CB_y=1.5$

$AC_y=3(1.5)=4.5$

The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

$C_y=A_y+AC_y=4+4.5=8.5$

therefore

The coordinates of point C are (8,8.5)

5 0

2 years ago

On a coordinate graph,which of the following is true of Quadrant 3?

Nonamiya [84]

D. The x and y values are both negative

5 0

2 years ago

What is the solution to the equation?

Oxana [17]

ANSWER

EXPLANATION

The given equation is

$\frac{ - 3d}{ {d}^{2} - 2d - 8} + \frac{3}{d - 4} = \frac{ - 2}{d + 2}$

Factor the first fraction to get,

$\frac{ - 3d}{(d + 2)(d - 4)} + \frac{3}{d - 4} = \frac{ - 2}{d + 2}$

Multiply through by (d+2)(d-4)

$- 3d + 3(d + 2) = - 2(d - 4)$

Expand:

$- 3d + 3d + 6 = - 2d + 8$

$6 = - 2d + 8$

$6 - 8= - 2d$

$- 2 = - 2d$

divide both sides by -2

$d = 1$

7 0

2 years ago

Read 2 more answers

Which is a square matrix?

Otrada [13]

A square matrix has the same number of rows as columns. In computer graphics, square matrices are used for transformations. A rectangular matrix is one where the number of rows or columns may not be the same. ... Below is a 4 x 1 column matrix. A row matrix consists of a single row.

6 0

2 years ago