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motikmotik
3 years ago
13

What is congruent of a triangle

Mathematics
1 answer:
Korvikt [17]3 years ago
4 0

Answer:

When two triangles have the exact 3 sides and the same 3 angles

Step-by-step explanation:

In geometry, triangles are congruent when the have the exact same 3 sides and the exact same 3 angles. They can be flipped or reflected, they just have to have same sides and angles

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Step-by-step explanation:

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3 years ago
Given the function f(x) = 3|x – 2| + 6, for what values of x is f(x) = 18?
Gwar [14]

Answer:

x = - 2, x = 6

Step-by-step explanation:

Given f(x) = 18 we require to solve

3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )

3 | x - 2 | = 12 ( divide both sides by 3 )

| x - 2 | = 4

The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus

x - 2 = 4 ( add 2 to both sides )

x = 6

OR

- (x - 2) = 4

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- x = 2 ( multiply both sides by - 1 )

x = - 2

As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions

x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True

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7 0
3 years ago
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Rama09 [41]

Answer:

$32,335.38

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

P(1+\frac{r}{n} )^{nt}

<em>P = initial balance </em>

<em>r = interest rate </em>

<em>n = number of times compounded annually </em>

<em>t = time</em>

<em />

Now lets plug in the values into the equation:

5,700(1+\frac{.15}{2})^{12(2)} = 32,335.38

Your answer is $32,335.38

4 0
3 years ago
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