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Blababa [14]
3 years ago
9

The triangles are similar. What is the value of x?

Mathematics
1 answer:
Bad White [126]3 years ago
4 0

Answer:

The value of x is 16\ units

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and is called the scale factor

so

\frac{12}{3} =\frac{x}{4}\\ \\x=12*4/3\\ \\x=16\ units

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almond37 [142]

Answer:

A rational number is a number that can be written as a fraction, is a whole number, is a decimal that stops like 3.35, or is a repeating decimal


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3 years ago
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Solve the system of equations by substitution: y = x - 2
gizmo_the_mogwai [7]

Step-by-step explanation:

y = x - 2

x + y = 12

Substitute the first expression for y into the second equation.

x + (x - 2) = 12

2x - 2 = 12

2x = 14

x = 7

Now plug into either equation to find y.

y = 7 - 2

y = 5

So the solution is (7, 5).

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ruslelena [56]
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3 years ago
The mean amount spent by a family of four on food is $500 per month with a standard deviation of $75. Assuming that the food cos
Alexeev081 [22]

Answer:

z=\frac{x- \mu}{\sigma}

And replacing we got:

z=\frac{425-500}{75}= -1

And we can calculate this probabilit using the normal standard distribution or excel and we got:

P(z

Step-by-step explanation:

If we define the random variable of interest "the amount spent by a family of four of food per month" and we know the following parameter:

\mu = 500, \sigma = 75

And we want to find the following probability:

P(X

And we can use the z score formula given by:

z=\frac{x- \mu}{\sigma}

And replacing we got:

z=\frac{425-500}{75}= -1

And we can calculate this probabilit using the normal standard distribution or excel and we got:

P(z

5 0
3 years ago
Solve the inequality.<br> 2(4+2x)25x+5
Inessa [10]

Answer:

x ≤ 3

Step-by-step explanation:

Given

2(4 + 2x) ≥ 5x + 5 ← distribute parenthesis on left side

8 + 4x ≥ 5x + 5 ( subtract 4x from both sides )

8 ≥ x + 5 ( subtract 5 from both sides )

3 ≥ x , hence

x ≤ 3

6 0
3 years ago
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