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melamori03 [73]
3 years ago
11

Abcd is a trapezium in which ablldc​

Mathematics
1 answer:
Anna11 [10]3 years ago
7 0

Answer:

Step-by-step explanation:

Draw OE parallel to AB and CD.

In  ABD, OE || AB

By Basic Proportionality theorem,

... (i)

In  CDA, OE || CD

By Basic Proportionality theorem,

... (ii)

From (i) and (ii), we get,

Or,  

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Lynna [10]
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3 0
3 years ago
The perimeters of square region S and rectangular region R are equal. If the sides of R are in the ratio 2 : 3, what is the rati
Ksivusya [100]
<h2>Answer:</h2>

The ratio of the area of region R to the area of region S is:

                    \dfrac{24}{25}

<h2>Step-by-step explanation:</h2>

The sides of R are in the ratio : 2:3

Let the length of R be: 2x

and the width of R be: 3x

i.e. The perimeter of R is given by:

Perimeter\ of\ R=2(2x+3x)

( Since, the perimeter of a rectangle with length L and breadth or width B is given by:

Perimeter=2(L+B) )

Hence, we get:

Perimeter\ of\ R=2(5x)

i.e.

Perimeter\ of\ R=10x

Also, let " s " denote the side of the square region.

We know that the perimeter of a square with side " s " is given by:

\text{Perimeter\ of\ square}=4s

Now, it is given that:

The perimeters of square region S and rectangular region R are equal.

i.e.

4s=10x\\\\i.e.\\\\s=\dfrac{10x}{4}\\\\s=\dfrac{5x}{2}

Now, we know that the area of a square is given by:

\text{Area\ of\ square}=s^2

and

\text{Area\ of\ Rectangle}=L\times B

Hence, we get:

\text{Area\ of\ square}=(\dfrac{5x}{2})^2=\dfrac{25x^2}{4}

and

\text{Area\ of\ Rectangle}=2x\times 3x

i.e.

\text{Area\ of\ Rectangle}=6x^2

Hence,

Ratio of the area of region R to the area of region S is:

=\dfrac{6x^2}{\dfrac{25x^2}{4}}\\\\=\dfrac{6x^2\times 4}{25x^2}\\\\=\dfrac{24}{25}

6 0
3 years ago
Read 2 more answers
A baseball player reaches first base 30% of the time he is at bat.out of 50 times at bat,about how many times will the player re
SOVA2 [1]

Answer:

15 times

Step-by-step explanation:

If he bats 50 times, he will be expected to reach first base "30% of the time".

We simply need to find "what is 30% of 50?"

We first need to convert the percentage (30%) to decimal and then multiply that with 50 to get our answer.

Converting percentage to decimal is very simple! We divide by 100. That's it!

So, we have:

30% = 30/100 = 0.3

Now we do the multiplication:

0.3 * 50 = 15

So, the player would reach first base 15 times (out of 50 times of batting)

6 0
3 years ago
The toy shop is located at (-2, 3) and the ice skating rink is located at (-2, -5). Plot these points on the coordinate grid. If
natta225 [31]

Answer:

8 miles

Step-by-step explanation:

We start by calculating the distance between the two points

To calculate this, we use the distance formula

Let the distance be D

We have the formula as;

D = √(x2-x1)^2 + (y2-y1)^2

D = √(-2+2)^2 + (-5-3)^2

D = √(64)

D = 8 units

Since 1 unit is 1 mile,

then 8 units will be 8 * 1 = 8 miles

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3 years ago
52 cards contains 4 aces, you randomly pick a card. X= your net of winnings
nirvana33 [79]

Chance of topdecking an ace is 1/13

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3 years ago
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