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nirvana33 [79]
3 years ago
6

Find the value of x shown below

Mathematics
1 answer:
irakobra [83]3 years ago
7 0

Angles opposite to the equal sides of an isosceles triangle are equal, so the third angle in this triangle is also 61.  Now, you know all the angles in the triangle, you can use the Triangle Sum Theorem, which says that all the angles in a triangle add up to 180.

x + 61 + 61 = 180

x + 122 = 180

x = 58

Hope this helped!

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Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

<u><em>Step(ii):-</em></u>

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

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            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

<u><em>Final answer:</em></u>-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

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