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Katyanochek1 [597]
3 years ago
13

A bag contains 28 marbles: 9 black, 14 red, and 5 blue. A marble is drawn from the bag at random.

Mathematics
1 answer:
prohojiy [21]3 years ago
6 0

Answer:

steps

1) 14/28 to convert to a percent you have to first divide the numerator from the demoninator and then  you  multiply by 100 and you get get %50 (you could had known bc 14 is half of 28)

2) 5/28 do the same thing as the first step and get %17.85

-Feel free to ask for more help :)

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the perimeter of a rectangle is 132 m. the length is 2 meters more than 3 times the width. find the dimensions of the rectangle
Anon25 [30]
2l + 2w = 132
l = 3w + 2

2(3w+2)+2w=132
6w + 4 + 2w = 132
8w + 4 = 132
8w = 128
w = 16

l = 3(16) + 2
l = 48 + 2
l = 50

2(50) + 2(16) __ 132
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7 0
3 years ago
Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1
nikdorinn [45]

Answer:

<em>Area of polygon D = 10 square units</em>

Step-by-step explanation:

<u>Given:</u>

Polygon <em>C </em>has an area of 40 square units.

It is scaled with a scale factor of \frac{1}2 to form a new polygon D.

<u></u>

<u>To find:</u>

The area of polygon D = ?

<u>Solution:</u>

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

  • First of all, let us consider a right angled triangle with sides <em>6, 8 and 10 units.</em>

Area of a right angled triangle is given by:

A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units

If scaled with a factor \frac{1}{2}, the sides will be 3, 4 and 5.

New area, A':

A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A

i.e. Area becomes one fourth.

  • Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = Length \times Width = 8 \times 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 \times 5 =20 sq units

So, \bold{A' = \frac{1}4 \times A}

Now, we can apply the same in the given question.

\therefore Area of polygon D = \bold{\frac{1}{4}}\times Area of polygon C

Area of polygon D = \bold{\frac{1}{4}}\times 40 = <em>10 sq units</em>

4 0
3 years ago
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Gala2k [10]

Answer:

Therefore, HL theorem we will prove for Triangles Congruent.

Step-by-step explanation:

Given:

Label the Figure first, Such that

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angle ADC = 90 degrees, and

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To Prove:

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Proof:

In  Δ ABD and Δ ACD

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Δ ABD ≅ Δ ACD ….{By Hypotenuse Leg test} ......Proved

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Answer:

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Answer:

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If its the khan question 3x4x3

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