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Elena L [17]
3 years ago
15

If ABCD is a parallelogram find the value of unknow size​

Mathematics
1 answer:
Keith_Richards [23]3 years ago
5 0

Step-by-step explanation:

Hey, there!!

As it is a parallelogram, remember basic properties of parallelogram,

  • Their opposite sides are parallel and equal to eachother.
  • Their opposite angles are equal.
  • They have properties of parallel lines too.

Now, lets solve your question.

b = (7×10)°

Therefore, b= 70°.

now, (3x+10°)+b=180° { co- interior angle of a triangle sum is 180°}.

or, 3x= 180°-80°

or, x= 100°/3

Therefore, x= 33° { rounding off we get 33}.

w+ b =180°

w+70°=180° { coointerior angles are equal}.

Therefore, w =110°

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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The length of a rectangle is 1 ft less than twice the width, the area of the rectangle is 21 ft squared. What’s the length
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Answer:

The length of the rectangle is 6 feet

Step-by-step explanation:

Given as :

The length of rectangle is 1 feet less than twice the width

So, let The width of rectangle = w feet

The length of rectangle = ( 2 w - 1 )  feet

The area of the rectangle = 21 feet²

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∵ The area of the rectangle = length × width

Or, 21 feet² =  ( 2 w - 1 ) feet × w feet

or, 21 = 2 w² - w

or, 2 w² - w - 21 = 0

or, 2 w² + 6 w - 7 w - 21 = 0

or , 2 w ( w + 3 ) - 7 ( w + 3 ) = 0

or, ( w + 3 ) ( 2 w - 7 ) = 0

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here we consider only positive value of w i.e  \frac{7}{2} feet

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