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Wittaler [7]
2 years ago
9

Which figures have rotation symmetry? Select each correct answer.

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
3 0

From the options presented,  only figure number 2 or the one that looks like a cross has a rotation symmetry.

<h3>What is rotation symetry?</h3>

This type of symmetry implies that when a figure is rotated it matches its original shape. An example of this is the circle.

<h3>Which figures have rotation symmetry?</h3>

From the options presented, only the cross has this symetry because its side are equal and this means you can rotate it and it will look the same.

Learn more about symmetry in: brainly.com/question/1531736

#SPJ1

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a rectangular field is 20m long and 15m wide.there is a path of uniform width all around it having an area of 450m^2.find the wi
myrzilka [38]

Answer:

22.5m

Step-by-step explanation:

450m²÷20m=22.5m

8 0
3 years ago
Let $A = (4,-1)$, $B = (6,2)$, and $C = (-1,2)$. There exists a point $X$ and a constant $k$ such that for any point $P$,
goldfiish [28.3K]

Answer:

k=32

Step-by-step explanation:

Given the points:

A = (4,-1)$, $B = (6,2)$, and $C = (-1,2)$.

The first step is to find the <u>Centroid</u> of the triangle.

Centroid, X

=\left(\dfrac{x_1+x_2+x_3}{3} ,\dfrac{y_1+y_2+y_3}{3} \right)\\=\left(\dfrac{4+6+(-1)}{3} ,\dfrac{-1+2+2}{3} \right)\\=\left(\dfrac{9}{3} ,\dfrac{3}{3} \right)=(3,1)

Next, let P be a point (x,y)

Using the <u>distance formula, </u>\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}<u />

<u />PA^2=(x-4)^2+(y-(-1))^2\\PB^2=(x-6)^2+(y-2)^2\\PC^2=(x-(-1))^2+(y-2)^2\\PX^2=(x-3)^2+(y-1)^2\\<u />

On Substitution into: PA^2 + PB^2 + PC^2 = 3PX^2 + k

(x-4)^2+(y-(-1))^2+(x-6)^2+(y-2)^2+(x-(-1))^2+(y-2)^2=3[(x-3)^2+(y-1)^2]+k

Let us simplify the LHS first

\\LHS: x^2-8x+16+y^2+2y+1+x^2-12x+36+y^2\\-4y+4+x^2+2x+1+y^2-4y+4\\=3x^2-18x+3y^2-6y+62

Also, the Right Hand Side

RHS:3[(x-3)^2+(y-1)^2]+k\\=3[x^2-6x+9+y^2-2y+1]+k\\=3x^2-18x+27+3y^2-6y+3+k\\=3x^2+3y^2-18x-6y+30+k

Therefore:

3x^2-18x+3y^2-6y+62=3x^2+3y^2-18x-6y+30+k\\k=3x^2-18x+3y^2-6y+62-3x^2-3y^2+18x+6y-30\\k=3x^2-3x^2+3y^2-3y^2-18x+18x+62-30\\k=32

7 0
3 years ago
Which expression has a coefficient of positive 1 for the the term n?
yanalaym [24]

Answer:

3n^2+n-2

Step-by-step explanation:

Coefficient is the number that we multiply an expression that contains a variable. In all the expressions above the variable is n.

Some examples:

Coefficient of n^2 is 1.

Coefficient of n in n^2+2n+1 is 2.

Solution:

In 5n^2+6n-1 the Coefficient of n is 6.

In 2n^2+5n+1 the Coefficient of n is 5.

In 40^2 - n +9 the Coefficient of n is - 1.

In 3n^2 +n - 2 the Coefficient of n is POSITIVE 1.

We tend to not write 1*n because 1*n=n.

4 0
3 years ago
Hilda's personal information is shown below. According to the following table what is her hypothetical
o-na [289]

Answer:

606

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Complete the following pattern: 4, 7, 10, 13, 16, 19, ___ .<br> A. 35<br> B.22
scoundrel [369]

Step-by-step explanation:

Simple the pattern is add 3

So next is 22

4 0
3 years ago
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