1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lyudmila [28]
3 years ago
9

A city grid of Anytown, USA is shown on the grid below. The fire department is represented by quadrilateral RSTU. Another fire d

epartment is opening in a different part of the city to maximize fire protection. The size of the new department's property must be congruent to the older department. Vertices A and B are plotted on the grid below to represent two vertices of the new fire department quadrilateral ABCD:
What could be the ordered pairs representing vertices C and D of quadrilateral ABCD so that the new fire department is congruent to the old fire department?

Mathematics
1 answer:
ryzh [129]3 years ago
3 0

The original fire department is 3  units wide and 4 units long.

The new fire deportment is also 3 units wide, so to be congruent, it needs to be 4 units long.


Point C would be (1,-5)

Point D would be (4,-5)


See attached picture.


You might be interested in
Find the TWO integers whos product is -12 and whose sum is 1<br>​
ahrayia [7]

Answer:

\rm Numbers = 4 \ and \ -3.

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}

Hence the numbers are 4 and -3

8 0
2 years ago
Read 2 more answers
The distance an object travels is determined by how fast it goes and for how long it moves.If an object speed remains constant,t
stepladder [879]

Answer:

250 miles

Step-by-step explanation:

Your formula is d=r(t)

d=distance r=speed t=time

In this equation it is asking you how far will you travel if your speed is 50 miles per hour, and the time is 5 hours.

So, using the equation above insert the known numbers and it should look like this: d=50(5)           ( distance is unknown / speed is 50 / time is 5  )  

Now you can find the distance. All you do is multiply 50 times 5 which equals 250.  

So the correct answer is C. 250 miles

8 0
2 years ago
The range of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is Your answer: {−1, 1, 3} {−1, −1, 1, 3} {−4, −2, 2,
nalin [4]

Answer:

The range is all the y values.

Therefore, the range is : {-4,-2,2}.....I realize choice c has all the y values listed, however, if u have repeating y values, u only have to list it once.

Step-by-step explanation:

6 0
2 years ago
What is the slope of a line that is perpendicular to the line represented by the equation 3x+4y=12
S_A_V [24]
Since x=8/3 is a vertical line,the slope is undefined,
7 0
2 years ago
Read 2 more answers
Ramon has started a workout program. On Monday, he did 10 push-ups. On Tuesday, he did 13 push-
nevsk [136]

Answer:

he will do 19 pushups

Step-by-step explanation:

He will do 19 push ups because the pattern Is going up by 3 each days so if you add 3 to 16 you will get 19!!!!!

Hope This Helped :)

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is the next term of the geometric sequence-0.3,0.6,-1.2,2.4
    10·1 answer
  • Which expressions are equivalent to the one below? Check all that apply.
    5·1 answer
  • A square field measuring 100.0 m long has an area of 1.00 hectare. one acre has an area of 43,600 ft2. if a lot has an area of 1
    12·1 answer
  • (Please answer quickly)
    8·2 answers
  • 178 is 89% of what amount?
    9·2 answers
  • The length of a rectangle is six times it’s width. If the perimeter of the rectangle is 126m find the length and widthThe
    15·1 answer
  • Is the sequence geometric? If so, identify the common ratio. 1/5, 2/15, 4/45, 8/135, 16/405
    14·2 answers
  • By the third day of a particular week, 2 accidents have already occurred in the intersection. What is the probability that there
    15·1 answer
  • In 824,795 what digit is in the ten thousand place​
    7·1 answer
  • Simplify (x⁴)³. <br><br><br> pls help
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!