All categories

3 years ago

Given: rectangle ABCD is similar to rectangle ZBXY. If ZY = 5, XC = 3, DC = 4, then XY =

Mathematics

2 answers:

soldier1979 [14.2K]3 years ago

7 0

Answer:

The length of XY is either 10 or 2.5.

Step-by-step explanation:

Given information: ZY = 5, XC = 3 and DC = 4.

Case 1: Rectangle ABCD is smaller than ZBXY.

The opposite sides of the rectangle are same.

$ZY=BC+XC$

$5=BC+3$

$2=BC$

The length of ABCD is 4 and width of ABCD is 2. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.

$\frac{4}{XY}=\frac{2}{5}$

$\frac{4\times 5}{2}=XY$

$10=XY$

Therefore the value of XY is 10.

Case 2: Rectangle ABCD is larger than ZBXY.

$ZY=BC-XC$

$5=BC-3$

$8=BC$

The length of ABCD is 4 and width of ABCD is 8. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.

$\frac{4}{XY}=\frac{8}{5}$

$\frac{4\times 5}{8}=XY$

$2.5=XY$

Therefore the value of XY is 2.5.

Semenov [28]3 years ago

4 0

Answer:

The answer is 2 1/2 I just did the assignment and that was the answer.

Step-by-step explanation:

You might be interested in

X^3+18x−3x^2−54 Factor over complex numbers

adoni [48]

Answer:

4565

Step-by-step explanation:

4 0

3 years ago

32/8+2*12 what is the answer?

lidiya [134]

Answer:

The correct answer is 28

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Mathematical Statement Justification

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

1. Given mathematical statement

$4x+3=x+5-2x$

So,

$\begin{array}{cc}4x+3=x+5-2x&\text{ Given}\end{array}$

2. Rewrite it as

$4x+3=x-2x+5$

So,

$\begin{array}{cc}4x+3=x-2x+5&\text{ Commutative property of addition}\end{array}$

3. Combine like terms $x$ and $-2x:$

$4x+3=-x+5$

So,

$\begin{array}{cc}4x+3=-x+5&\text{ Combine like terms}\end{array}$

4. Add $x$ to both sides:

$4x+3+x=-x+5+x\\ \\5x+3=5$

So,

$\begin{array}{cc}5x+3=5&\text{ Addition property of equality}\end{array}$

5. Subtract 3 from both sides:

$5x+3-3=5-3\\ \\5x=2$

So,

$\begin{array}{cc}5x=2&\text{ Subtraction property of equality}\end{array}$

6. Divide both sides by 5:

$x=\dfrac{2}{5}$

So,

$\begin{array}{cc}x=\dfrac{2}{5}&\text{ Division property of equality}\end{array}$

6 0

3 years ago

Read 2 more answers

In the XY-plane, the X-axis contains all ordered pairs such that:

Fiesta28 [93]

Answer:

Option B

y coordinate is 0

Step-by-step explanation:

We have in two dimension rectangular system of coordinates with two mutually perpendicular lines called x and y axis.

X axis is the horizontal line and y the vertical line, the point of intersection of these two lines is called origin with x=0: y=0

To the right of origin, positive values are marked and left negative. Similarly for y axis, above origin positive values and below negative values.

Thus we have along x axis, y values to be 0

Hence any point on x coordinate will be of the form (a,0) where a can be any real number

So option B is right

3 0

3 years ago

Read 2 more answers

Plzzzzz hellllp meeeee plz

iren [92.7K]

Answer:

(7, 5)

Step-by-step explanation:

When reflecting over the x-axis, the only position that moves is the y-coordinate as it is going above the axis it was previously below. Since point F's original position was (7, -5) it is 5 spaces away from the x-axis. We move 5 places up to be even with the x-axis, then move up another 5 places to reflect the point to get F'.

Hope this Helps!

5 0

3 years ago

Read 2 more answers