The total length of the wire needed to make this shape is 162cm
<h3>Perimeter of a triangle</h3>
The perimeter of a triangle is the sum of the external side of the triangle.
Given the following parameters
Length of one side of the outside shape = 24cm
The side length of the smaller triangle = 24/4 = 6cm
The perimeter of the smallest triangle 3(6) = 18cm
The perimeter of the smaller triangle (at the middle) = 12(3) = 36cm
Total length of wire needed. = 3(24) + 3(18) + 36
Total length of wire needed = 72 + 54 + 36
Total length of wire needed = 162cm
Hence the total length of the wire needed to make this shape is 162cm
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Answer: x = 131
Reasoning: Alternate interior angle theorem
The angles shown are inside the parallel lines, so they are interior angles. They are also considered alternate angles because they are on alternating sides of the transversal cut. Alternate interior angles are congruent when we have parallel lines like this.
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Answer:
y = -6x +9
y = 9·(1/3)^x
Step-by-step explanation:
In each case, the y-intercept is 9.
Linear
The slope is rise/run = (3-9)/(1-0) = -6, so the equation is ...
y = mx + b . . . . . . . slope m, intercept b
y = -6x +9
Exponential
The ratio of value at x=1 to that at x=0 is 3/9 = 1/3. That is the "growth factor," so the equation is ...
y = 9·(1/3)^x
Operations are performed according to the Order of Operations. Sometimes the mnemonic PEMDAS or BIDMAS is used to remind you what the order is.
P/B - parentheses/brackets. The content of these is evaluated first.
E/I - exponents/indices. Exponentiation is done first, right to left: a^b^c = a^(b^c).
MD/DM - multiplication and division are done in order of appearance, left to right. Each has equal priority, neither is done before the other unless it appears in the expression first. a/bc = (a/b)c. ab/c = (ab)/c
AS - addition and subtraction are done in order of appearance, left to right. Each has equal priority.
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When functions are involved (sin( ), log( ), sqrt( ), for example), their arguments are evaluated according to the order of operations, then the function is evaluated, then the remainder of the operations are performed. For example, sin(a)^2 = (sin(a))^2. Sometimes, this is written sin^2(a).
When functions are written without parentheses around their arguments, it must be assumed that the function only applies to the first entity following the function name. log ab+c/d = (log(a)*b)+(c/d), for example, or √3x = (√3)x.
