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a_sh-v [17]
3 years ago
10

The coordinates of a quadrilateral are (1,3),(7-3),(1,-9) , and (-5,-3). What shape is formed? Select all that apply

Mathematics
2 answers:
LenKa [72]3 years ago
8 0

Answer:

Square

Step-by-step explanation:

There are different types of quadrilateral,

Kite  :  a quadrilateral which has two pairs of adjacent equal sides,

Rectangle : a quadrilateral which has two pairs of opposite equal sides and 4 right angles,

Rhombus  : a quadrilateral which has equal sides with two pairs of equal opposite angles,

Square : a quadrilateral which has equal sides with 4 right angles,

Trapezoid :  a quadrilateral which has one pairs of opposite parallel sides,

Let A≡(1,3), B≡(7,-3), C≡(1,-9) and D≡(-5,-3),

By Distance formula,

AB=\sqrt{(-3-3)^2+(7-1)^2}

=\sqrt{6^2+6^2}=\sqrt{72}=6\sqrt{2}\text{ unit}

Similarly,

BC=6\sqrt{2}\text{ unit}

CD=6\sqrt{2}\text{ unit}

DA=6\sqrt{2}\text{ unit}

Now, the slope of AB,

m_1=\frac{-3-3}{7-1}=\frac{-6}{6}=-1

Similarly,

The slope of BC,

m_2=1

Since, m_1\times m_2=-1

Hence, ∠B = 90°,

Similarly, We can obtain,

∠A = ∠C = ∠D = 90°

Therefore, By the above definitions it is clear that ABCD is a square.

pogonyaev3 years ago
6 0
Kite. The other answers don't fit the criteria.

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The number of tickets sold to seniors =32+14+54=100.

To determine the percentage of tickets sold to seniors we need to determine the total number of tickets sold to each category.

<u>To determine the percentage of tickets sold to seniors:</u>

In order to determine the percentage of tickets sold to the seniors, we divide the tickets sold to seniors by the total number of tickets sold to children, adults, and seniors.

This value is multiplied with 100 to convert it into a percentage.

The number of tickets sold to seniors =100.

The total number of tickets sold to children, adults, and seniors = 184+438+100=722.

The percentage of tickets sold to seniors = \frac{100}{722} (100) = 0.1385(100)=13.85\%.

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The length of a rectangle 4 yd is longer than its width. If the perimeter of the rectangle is 68 yd, find its length and width.
natulia [17]

w + 4

------------------------

l l

l l w

l l

------------------------

Perimeter would be the sum of all the sides so: (w+4) + w + (w+4) + w

Perimeter is 60 yards according to your problem so: (w+4) + w + (w+4) + w = 60 yds

1.Simplify/combine like terms:

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Now it's a 2-step algebra equation

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3 years ago
4✓6 × 3✓6<br>multiply and simplify <br>show work​
mafiozo [28]

Answer:

3

√

2

Explanation:

First put change the words into an equation:

√

3

×

√

6

Now you can multiply them together as you would normally multiply:

√

3

×

√

6

=

√

18

Now let's prime factor 18 and see if there are any squares that we can take out of it to simplify. All we have to see is if there are 2 numbers that are the same:

18

/ \

6

3

/ \

2

3

As you can see, we have a square:

3

×

3

=

9

So take

√

9

out of

√

18

. You should have:

√

9

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2

But since

√

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=

3

we can simplify further to make:

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9

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→

3

√

2

Step-by-step explanation:

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