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3 years ago

Need help on quiz plz

Mathematics

1 answer:

malfutka [58]3 years ago

8 0

Answer:

x = 34 degrees

Step-by-step explanation:

Each solid line and triangle add up to 180, so start from the left and slowly do your math.

180 - 112 = 68

180 - 68 - 43 = 69

180 - 69 = 111

180 - 111 - 35 = 34

x and the last angle are the same.

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A box is in the shape of an equilateral triangular prism. if the box is to be covered with paper on its lateral sides, how many

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The total surface area of the triangular prism that has a height of h and the side length of a is given below.

$\rm a(\dfrac{\sqrt3}{2} \ a + 3h)$

<h3>What is a triangular prism?</h3>

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.

A box is in the shape of an equilateral triangular prism.

If the box is to be covered with paper on its lateral sides.

Let a be the side length of the equilateral triangle and h be the height of the prism.

Then the surface area of the triangular prism will be

Surface area = 2 × area of triangle + 3 × area of the rectangle

The area of the triangle will be

$\rm Area\ of\ triangle = \dfrac{\sqrt{3}a^2}{4}$

The area of the rectangle will be

$\rm Area \ of \ rectangle = a \ h$

Then the total surface area will be

$\rm Surface\ area = 2 \times \dfrac{\sqrt3 a^2 }{4} + 3 ah\\\\\\Surface\ area = a(\dfrac{\sqrt3}{2} \ a + 3h)$

More about the triangular prism link is given below.

brainly.com/question/21308574

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