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ioda
2 years ago
12

Enlarge the triangle by scale factor of -1/3

Mathematics
1 answer:
Bess [88]2 years ago
4 0

The attached image represents the triangle after it has been enlarged

<h3>How to enlarge the triangle?</h3>

The given parameters are:

  • Scale factor, k = -1/3
  • Center, (a,b) = (-1,2)

From the graph, the coordinates of the triangle are:

A = (-4,2)

B = (-4,-4)

C = (-1,-4)

The rule of dilation is calculated using:

(x,y) \to (k(x - a) + a, k(y - b) + b)

So, we have:

A' = (-\frac 13(-4 +1) - 1, -\frac 13(2 - 2) + 2)

A' = (0, 2)

B' = (-\frac 13(-4 +1) - 1, -\frac 13(-4 - 2) + 2)

B' = (0, 4)

C' = (-\frac 13(-1 +1) - 1, -\frac 13(-4 - 2) + 2)

C' = (-1, 4)

See attachment for the image of the triangle, after it has been enlarged

Read more about dilation at:

brainly.com/question/3457976

#SPJ1

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Shalnov [3]
The angle of measure 1 is equivocal to its adjacent angle, so M<1 = 39 degrees
Because the summation of all angles of a triangle need to be 180 degrees, we can find M<3. We have an angle of 39 degrees and a right angle which is 90 degrees.Therefore M<3 is equal to 51 degrees
3 0
3 years ago
A company with offices in Anchorage, Alaska wants to lease 10 small planes to fly a group of clients to Nome for a summer fishin
Rama09 [41]

The solutions of the equations of the situation can be:

z = 1 , y = 5, x = 4

z= 2 , y = 3, x = 5

z=3 , y = 1, x = 6

z = 0 , y = 7, x =3

The question can be expressed as a equation

6 x + 8 y + 10 z = 84

also, x + y + z = 10

⇒ x = 10- y - z

Putting it in first equation,

6(10 - y - z ) +8y + 10z = 84

⇒ 60 +2y + 4z = 84

⇒2(y + 2z ) = 14

⇒ y + 2z = 7

Now putting

z = 1 , we get y = 5,

z= 2 , y = 3

z=3 , y = 1

z = 0 , y = 7

So, only 4 possible solutions.

Therefore, there can only be 4 possible solutions for the equations.

"Learn more about linear equation here-

brainly.com/question/28442870 "

#SPJ9

8 0
9 months ago
The librarian needs to return 24 books to the shelf. In one hour she finished 3/4 of the job. How many books has she
Rudiy27

Answer:

18 books done and 6 books left

Step-by-step explanation:

24 *3/4 = 18

3 0
2 years ago
Read 2 more answers
How to find x and y I dont understand
lesantik [10]
68= 4x-2+30 (notice they are vertical angles)
68= 4x+28
40=4x
10=x

68+y= 180 (forms a straight angle)
y=112

Final answer: x=10, y=112
4 0
3 years ago
Read 2 more answers
0-6
dybincka [34]
<h3>Given :-</h3>
  • Pranav ran 20.3 km more than Branda

  • Pravin ran 38.6 km

\\  \\

To find :

  • No. of kilometers did Brenda run.

\\  \\

<h3>Let :</h3>

  • No. of kilometers ran by Brenda be x.

\\  \\

<h3>Solution:</h3>

\\  \\

Equation formed:-

\\  \\

Total distance covered by Pravan = More distance covered by Pravan + distance covered by Brenda.

Therefore:-

\\  \\

\leadsto \sf38.6 = 20.3 + x

Write the equation

\\  \\

\leadsto \sf38.6 - 20.3 =x

When we transfer 20.3 to left side the positive sign (+) will change into negative sign (–)

\\  \\

\leadsto \sf x = 38.6 - 20.3

Arrange the equation because x is always represented at left side.

\\  \\

\leadsto \boxed {\pmb{\sf x = 18.3}}\star

After subtracting 38.6 with 20.3 we will get result as 18.3 .

\\  \\

\therefore \red{ \underline{  \pmb{\frak{Distance  ~ covered ~by ~Brenda~ is ~equal ~to~18.3~kilometers}}}}

7 0
2 years ago
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