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3 years ago

Which transformations could be performed to show that △ABC is similar to △A"B"C"?

Mathematics

2 answers:

kap26 [50]3 years ago

7 0

Answer: D

Step-by-step explanation:

im taking the test

kherson [118]3 years ago

5 0

Answer:

<h2>All the transformations could be performed.</h2>

Step-by-step explanation:

In first two options it applies reflection and dilation.

In reflection, it just rotates 180 degree with respect to the given axis. It does not change any angle of the given triangle.

Dilation just enlarge the image as per the given scale factor.

<u>In dilation the ratio of the sides are equal to the given scale factor.</u>

Hence, these two transformations provides a mirror image of △ABC with an enlargement of the corresponding scale factor.

In the third and fourth option, the transformation also involves only rotation and dilation.

Hence, third and fourth option also provides a mirror image of △ABC with an enlargement of the corresponding scale factor.

All the transformations takes to similar triangles.

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Math-- Farmer Bill has 500 meters of fencing and wants to enclose a rectangular plot that borders on a river. If farmer Bill doe

bixtya [17]

Answer:

Required dimensions of the rectangle are L = 200 m, W = 100 m

The largest area that can be enclosed is 20,000 sq m.

Step-by-step explanation:

The available length of the fencing = 500 m

Now, Perimeter of a rectangle = SUM OF ALL SIDES = 2(L+B)

But, here once side of the rectangle is NOT FENCED.

So, the required perimeter

= Perimeter of Complete field - Boundary of 1 open side

= 2(L+ W) - L = 2W + L

Now, fencing is given as 500 m

⇒ 2W + L = 500

Now, to maximize the length and width:

put L = 200, W = 100

we get 2(W) +L = 2(200) + 100 = 500 m

Hence, required dimensions of the rectangle are L = 200 m, W = 100 m

The maximized area = Length x Width

= 200 m x 100 m = 20, 000 sq m

Hence, the largest area that can be enclosed is 20,000 sq m.

6 0

3 years ago

Simplify the expression -4x^2(3x − 7).

satela [25.4K]

Answer:

Step-by-step explanation:

Simplify the expression -4x^2(3x − 7).

A. -12x^3 + 28

C. -12x^3 − 28

D. -12x^3 − 28x^2

5 0

3 years ago

Read 2 more answers

2 MATH K.

Ann [662]

Answer:

Step-by-step explanation:

Given the addition problem:

58 + 36

We can form a table :

5 _______ 8

3 _______ 6

9 4

Hence, (58 + 36) = 94

4 0

3 years ago

Complete the equations so that the solution of the system of equations is (−1, −4). y= ?X−11 6x− ? Y=10

eimsori [14]

Answer:

y = –7x – 11

6x – 4y = 10

Step-by-step explanation:

From the question given above, we obtained:

x = –1

y = –4

y = ?x – 11 ....... (1)

6x – ?y = 10b......... (2)

Let the two unknown be a and b. Thus the above equation becomes:

y = ax – 11 ......... (3)

6x – by = 10 .......(4)

Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:

For a:

y = ax – 11

x = –1

y = –4

–4 = a(–1) – 11

–4 = –a – 11

Collect like terms

–4 + 11 = –a

7 = –a

Multiply through by –1

a = –7

For b:

6x – by = 10

x = –1

y = –4

6(–1) – b(–4) = 10

–6 + 4b = 10

Collect like terms

4b = 10 + 6

4b = 16

Divide both side by 4

b = 16 / 4

b = 4

Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.

y = ax – 11

a = –7

y = –7x – 11

6x – by = 10

b = 4

6x – 4y = 10

Therefore, the complete equation are:

y = –7x – 11

6x – 4y = 10

8 0

3 years ago

As an estimation we are told 5 miles is 8 km.<br> Convert 40 miles to km.

sergeinik [125]

Answer:

5 miles=8 km

=)1 mile=8/5 km=1.6 km

=)40 miles=1.6×40=64 km

So, 40 miles is 64 km.

Step-by-step explanation:

7 0

3 years ago