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Aleonysh [2.5K]
3 years ago
10

The Luxor hotel, in Las Vegas, is a square pyramid with lateral faces consisting of black, glassed mirrored panes. The building

is 646 feet wide at the base and 350 feet high. How much glass was needed to cover the pyramid?
Mathematics
1 answer:
rusak2 [61]3 years ago
7 0
2998 feet of glass was needed to cover the pyramid. You add 646 plus 350 and multiply by 3, which is the side length of the pyramid. (Pyramids or triangles have 3 sides.)
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Angle JKL is an equilateral triangle jk=13x+5 KL=17x-19 and JL=8x+35
Goshia [24]

The value of x is 6, then the value of JK is 83, KL is 83 and JL is 83.

<h3>What is a triangle?</h3>

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

An equilateral triangle is a shape with three sides that have an equal measure of side length.

The 3 sides of triangle JKL are equal to each other, therefore we can equate any of the two sides together to find the unknown variable called x.

So, JK = KL

JK = 13x + 5

KL + 17x - 19

13x + 5 = 17x - 19

Collect like terms;

17x - 13x = 19 + 5

4x = 24

x = 24/4

x = 6

We can now proceed to find the sides;

JK = 13x + 5

13 x 6 + 5

= 78 + 5

= 83

JK = 83

KL = 17x - 19

= 17 x 6 - 19

= 102 - 19

= 83

KL = 83

JL= 8x + 35​

= 8 x 6 + 35

= 48 + 35

= 83

JL = 83

Hence, The value of x is 6, then the value of JK is 83, KL is 83 and JL is 83.

Learn more about the triangles;

brainly.com/question/2773823

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