All categories

2 years ago

Rectangle ABCD was dilated to create rectangle A'B'C'D' using point R as the center of dilation.

Mathematics

2 answers:

Slav-nsk [51]2 years ago

8 0

Answer:

Step-by-step explanation:

kati45 [8]2 years ago

3 0

Answer:

The value of RD' is 5 units.

Step-by-step explanation:

It is given that rectangle ABCD was dilated to create rectangle A'B'C'D' using point R as the center of dilation.

The scale factor is the proportion of side length of image and side length of preimage.

$k=\frac{\text{lenght of image}}{\text{lenght of preimage}}$

$k=\frac{B'C'}{BC}$

$k=\frac{4}{12}$

$k=\frac{1}{3}$

Scale factor is also defined as

$k=\frac{RD'}{RD}$

$\frac{1}{3}=\frac{RD'}{15}$

Multiply both sides by 15.

$RD'=5$

Therefore the value of RD' is 5 units.

You might be interested in

A clock is showing the time as exactly 3:00 p.m. and 25 s. Because a full minute has not passed since 3:00, the hour hand is poi

Grace [21]

I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture.

The hypotenuse is 9 cm. the angle is found by:

the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60

so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm.

cos 60 = x/9

9 cos 60 =x
<span>
x = 4.5 cm

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>

3 0

2 years ago

Find the volume of the composite solid. Round to the nearest tenths. Radius:2 height:4

yKpoI14uk [10]

Answer:

Step-by-step explanation:

6 0

2 years ago

In triangle XYZ, XY = 13, YZ=20, and XZ=25. What is the measure of angle Z to the nearest degree?

anastassius [24]

We can use Law of Cosines to solve for the angle of Z. The solution is shown below:
cos C=(a²+b²-c²)/2ab
cos Z = (yz² + xz² - xy² )/2*yz*xz
cos Z = (20² + 25 - 13²)/2*20*25
cos Z = 856 / 1000
Z=31.13°

The answer is angle 31.13°.

4 0

2 years ago

The system shown has the unique solution (2, y, z). Solve the system and select the values that complete the solution. y = 0 y =

madreJ [45]

So we are given a system:
$3x-2y+3z=0\\
-3x - 5y - 5z= -21$
Substitute x = 2 we get the system:
$-2y+3z=-6\\
- 5y - 5z= -15$
Multiply the first equation by -5 and the second by 2 we get the system:
$10y-15z=30\\
- 10y - 10z= -30$
Adding the two equations we get :
$-25z=0\text{ then}z=0.$
We find the value of y by using any of the other equations like this:
$-2y=-6\\y=3.$
Final solution:
$z=0,y=3$

8 0

2 years ago

Read 2 more answers

Name two ways you might see decimals used outside of school.

slega [8]

In money and weighing things

7 0

2 years ago

Read 2 more answers