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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 piece of paper is cut out and then folded into the rectangle prism as shown below. Which side is the bottom, and which side is
zimovet [89]
The question ask to find the right answer on which of the label in your image where as a paper is cut out and then folded into rectangle prism and the answer would be that B is on the bottom and C is on the left side. I hope you are satisfied with my answer 
6 0
3 years ago
Read 2 more answers
ΔMNO is shown.
JulijaS [17]

Answer:

ABC - AAS

DEF - not enough information

GHI - not enough information

JKL - SAS

Step-by-step explanation:

SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

AAS postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

HL postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

1. In triangles MNO and ABC, there are two congruent sides and non-included angle - AAS

2. In triangles MNO and DEF, there are two congruent sides  - there is not enough information

3. In triangles MNO and GHI, there are three congruent angles  - there is not enough information

4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS

5 0
4 years ago
Solve the following simultaneous equations: 1. a) x-y=-5 and x + y = -1​
Sonbull [250]

Answer:

x = -3, y = 2

Step-by-step explanation:

x - y = -5

x = -5 + y

Let's put this into the other equation

(-5 + y) + y = -1

-5 + 2y = -1

2y = 4

y = 2

Now we can solve for x by plugging y into either equation

x + (2) = -1

x = -3

8 0
2 years ago
Read 2 more answers
Find the slope of the line graphed below.
natulia [17]
Good day ^-^///////////

6 0
4 years ago
Read 2 more answers
A woman drives an SUV that gets 12 mi/gal (mph). Her husband drives a hybrid that gets 55 mph.Every week, they travel the same n
a_sh-v [17]

Answer:

Option 2 gives a better combined mileage.

Step-by-step explanation:

Data provided in the question:

Mileage of SUV = 12 mi/gal

Mileage of hybrid = 55 mph or 55 mi/gal

After tuning the SUV, new mileage = 12 + 1 = 13 mi/gal

Now,

For Option 1:

Average mileage of SUV and the Hybrid = \frac{13+55}{2}

= 34 mi/gal

For Option 2:

Mileage of new car = 80 mph or 80 mi/gal

Average mileage = \frac{12+80}{2}

= 46 mi/gal

Hence,

Option 2 gives a better combined mileage.

7 0
3 years ago
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