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Vera_Pavlovna [14]
3 years ago
11

2. Draw the image of ∆RST under the dilation with scale factor ⅓ and center of dilation at the origin. Label the image ∆R’S’T’.

Mathematics
1 answer:
Alchen [17]3 years ago
6 0
Since center of dilation is the origin, this is easy. Just divide all of the x and y coordinate values by 3. Place the new point on the graph, and draw the triangle.

R' = R(3,6)/3 = (3/3,6/3)=(1,2). So R'(1,2)
S' = S(-3,6)/3 = (-3/3,6/3)=(-1,2). So S'(-1,2)
T' = T(-6,-6)/3 = (-6/3,-6/3)=(-2,-2). So T'(-2,-2)

So you now know the location of the 3 new points. R' at (1,2), S' at (-1,2) and T' at (-2,-2). Simply draw those 3 points on your graph and connect the lines to make a new triangle.

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A rental car company charges $53.75 per day to rent a car and $0.12 for every mile driven. Jaya wants to rent a car, knowing tha
Aliun [14]

Answer:

Jaya can afford to rent a car 4 days while staying within her budget.

Step-by-step explanation:

The inequality would have to indicate that the cost of renting a car has to be less than or equal to $230. The cost to rent a car is equal to the cost per day for the number of days plus the price per mile for the number of miles, which is:

53.75x+0.12y≤230, where:

x is the number of days the car is rented

y is the number of miles driven

As the statement says that she plans to drive 125 miles, you can replace "y" with this value and solve for x:

53.75x+0.12(125)≤230

53.75x+15≤230

53.75x≤230-15

53.75x≤215

x≤215/53.75

x≤4

According to this, the answer is that Jaya can afford to rent a car 4 days while staying within her budget.

5 0
3 years ago
30 points! <br> Since there are a few questions please help.
boyakko [2]

Answer:

black socks = 36

total socks 48

apple's = 6

strawberry sweets = 72

2nd class = 24

total stamps = 42

Dylan = 75

total student 1900

8 0
3 years ago
A number divided by 35 has a quotient of 8 with a remainder of 9? What is the number?
marissa [1.9K]

Answer: 311.5


Step-by-step explanation: 35*8.9=311.5

311.5/35=8.9


7 0
3 years ago
Read 2 more answers
Christine has a rectangular poster. The poster is 1.5 meters long and 1.2 meters wide. What is the area of the poster in square
Setler79 [48]
Answer: 180cm^2

Explanation: First, multiply 1.5 by 1.2 to get the area of the rectangle in METERS, which is 1.8. Since the question is asking for the area in CENTIMETERS, multiply 1.8 by 100 (because 1 meter=100 centimeters) to get 180cm^2.

Hope that helped :)
7 0
2 years ago
Mrs. Frasier is making costumes for the school play. Each costume requires 3/4 yards of fabric. She bought 6 yards of fabric. Ho
kodGreya [7K]

Answer:

8 costumes

Step-by-step explanation:

Take the total amount of fabric and divide by the amount per costume

6 ÷ 3/4

Copy dot flip

6 * 4/3

6/3 *4

2 *4

8

She can make 8 costumes

6 0
3 years ago
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