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steposvetlana [31]
3 years ago
12

The length of the base of an isosceles triangle is x. The length of a leg is 2x-6. The perimeter of the triangle is 38. Find X

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer:

x = 10

Step-by-step explanation:

Perimeter of a triangle = the sum of the three sides.    

In an isosceles the legs are equal (2x - 6) and the base is x

Perimeter = (x) + (2x - 6) + (2x - 6)

          38  = 5x - 12

        38 + 12 = 5x

            50 =   5x

              \frac{50}{5} = \frac{5x}{5}

               10 = x

   

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AA3+2=AAA<br> CC6+6=CBB<br> (AB|C) -&gt;S57-&gt;E73-&gt;S47-&gt;E57-&gt;S43-&gt;W26-&gt;S18-&gt;?
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The question asks:
"Mark Atilius was expecting news from his friends with whom he agreed to reveal the great secret pyramids and spent his time at a nearby inn when he caught the attention of the Egyptian sitting beside him. He was even more surprised when he talked to him.
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And he passed on the parchment he had just read.

<span> AA3 + 2 = AAA
CC6 + 6 = CBB
(AB | C) -> S57 -> E73-> S47-> E57-> S43-> W26-> S18->? </span>
Task: Find out the coordinates where Mark should come.<span> "

First, you need to solve for the position from which Mark starts. 
You know: 
</span><span>AA3 + 2 = AAA
Since 3 + 2 = 5,
553 + 2 = 555
Therefore A = 5.

Similarly: 
</span><span>CC6 + 6 = CBB 
Since 6+6 = 12, B = 2.
In order from the middle digit to be 2, the original one must have been 1.
Therefore B = 2 and C = 1

Hence, the starting position is: (AB, C) = (52, 1)

The following line gives you how many steps and in what direction Mark should go: S = south (negative vertical motion), N = north (positive vertical motion), E = east (positive horizontal motion), W = west (negative horizontal motion).

(52, 1) 
-> S57 -> (52, -56)</span> 
-> E73 -> (125, -56)
-> S47 -> (125, -103)
-> E57 -> (182, -103)
-> S43 -> (182, -146)
-> W26 -> (156, -146)
-> S18 -> (156, -164)

Hence, the coordinates that Mark should reach are (156, -164)
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Answer:
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Explanation:
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Area = 0.5 * first side * second side * sin(angle included between these two sides)

This rule is illustrated in the attached image.

Now, we have:
AB = 40 m
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The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
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Area of triangle = 492.4 m²

Hope this helps :)

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