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vichka [17]
3 years ago
9

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics
1 answer:
mote1985 [20]3 years ago
4 0

Answer:

X=22

Step-by-step explanation:

In a triangle all the angles add up to 180 so you add them all up and get      6x-21+69=180

                  +21

                 -69

  6x=132 132/6= 22

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The area of the rectangle is 108 square centimeters.

Given Information

The following information has been given in the question,

Length of the diagonal of the rectangle, l = 15 cm

Length of one of the sides of the rectangle, a = 9 cm

Let the other side of the rectangle be b.

Finding the Other Side of the Rectangle

According to Pythagoras Theorem,

(hypotenuse)² = (base)² + (perpendicular)²

Applying this theorem in the right-angle triangle formed by the diagonal and 9cm side of the rectangle, we get,

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b = √144

b = 12 cm

Calculating the Area of the Rectangle

Area of the rectangle, A = a × b

A = 9 × 12

A = 108 cm²

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