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3 years ago

Need help with this assignment!!

Mathematics

1 answer:

8090 [49]3 years ago

7 0

Answer:

Step-by-step explanation:

Problem One

(n - 2)*180 means that you take the number of sides and subtract 2. Then you multiply by 180. Read this next part carefully. What you have is the number of degrees that the quadrilateral equals for its interior angles.

The total of the interior angles = (4 - 2)*180

The total of the interior angles = 2 * 180

The total of the interior angles = 360

90 + 90 + 4x + 14 + 5x + 23 = 360 Collect the like terms

9x + 217 = 360 Subtract 217 from both sides

9x = 143 Divide by 9

x = 15.89

Two

You are now trying to find the sum of the interior angles of a hexagon.

(n - 2)*180/6 = (6 - 2)*180/6 = 4 * 30 = 120

This is a little different. What you have found is 1 angle of a regular hexagon. It is 120 degrees.

6x - 26 = 120 Add 26 to both sides

6x = 120+26 Combine

6x = 146 Divide by 6

x = 146/6

x = 23.333333

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⠀

Step-by-step explanation:

The triangle having two sides equal along with one different side is called an isosceles triangle.

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So, Let us assume the other sides (two equal sides) of the isosceles triangle as x. As the different side is already given in the question.

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${\longrightarrow \it\qquad { \ { { 38 \: }^{ \circ} + x + x = 180{}^{ \circ} }}}$

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${\longrightarrow \it\qquad { \ { 2x = 142{}^{ \circ} }}}$

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${\longrightarrow \it\qquad { \ { x = \dfrac{142{}^{ \circ}}{2} }}}$

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