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omeli [17]
3 years ago
12

What is the value of x?

Mathematics
1 answer:
timofeeve [1]3 years ago
6 0

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

It is convenient to remember the ratios of side lengths of these "special triangles."

The side ratios of ΔABC are 1 : 1 : √2, so BC = AC/√2 = 6.

The side ratios of ΔBCD are 1 : √3 : 2, so BD = BC/2 = 6/2 = 3.

The value of x is 3.

You might be interested in
Solve equation 3(n - 5) = 7 - 2(n + 1)
AlladinOne [14]

Answer:

n= 4

Step-by-step explanation:

3 multiplied by n is 3n.

3 multiplied by -5 is -15.

so 3n-15= 7-2(n+1)

7-2(n+1) is -2 multiplied by n is -2n and -2 multiplied by 1 is -2.

3n-15=7-2n-2

then move the variables to one side and numbers to the one side.

3n+2n=15+7-2

*If you are moving across the equation the symbols change. Like negative to positive. Division to multiplication.

so 5n=22-2

5n=20

5 multiplied by 4 is 20 so n is going to be 4.

N=4

7 0
3 years ago
Read 2 more answers
He lesson. If the first step in the solution of the equation -x + 6 = 5 - 3x is "subtract 5," then what should the next step be?
Xelga [282]

Answer:

  add x

Step-by-step explanation:

The operation "subtract 5" has eliminated the constant from the right side of the equation, so the next step would be to eliminate the variable from the left side. You do that by adding the opposite of the variable term.

The opposite of the term -x is x, so we "add x" as the next step.

This makes the solution look like ...

  -x +6 = 5 -3x

  -x +1 = -3x . . . . . . subtract 5

  1 = -2x . . . . . . . . . add x

  -1/2 = x . . . . . . . . .divide by -2

_____

<em>Comment on this solution</em>

My preference is always to add the opposite of the variable term with the smallest coefficient. Here, that term is -3x, so I would add 3x as a first step. This leaves the only x-term with a <em>positive</em> coefficient, so can reduce errors in the solution.

8 0
3 years ago
Thank you I will Mark brainlist<br> solve for M <br> 8m+95 &lt; -87m + 5
posledela

Answer:

The answer should be x < \frac{-18}{19}

Step-by-step explanation:

4 0
3 years ago
Which expression is equal to 4(92)
oksano4ka [1.4K]

Answer: ⇒ <u><em>=368</em></u>

Step-by-step explanation: ⇒ Multiply by the numbers. Product it's going to be multiply by the numbers, fractions, multiples, and factors. You can also remove parenthesis, this give us, 92*4=368. Hope this helps! Thanks!


3 0
3 years ago
Read 2 more answers
Identify the x- and y- intercepts of this equation. 5 − 4 = 20
Alinara [238K]

T he x and y intercepts of the equation: 5x-4y=20 are : y-intercept is (0,-5) and x-intercept is (4,0)

So, Option D is correct.

Step-by-step explanation:

we need to identify the x and y intercepts of the equation: 5x-4y=20

Finding x-intercept

For finding x-intercept put y=0

We are given the equation:

5x-4y=20

Solving:

5x-4y=20\\5x-4(0)=20\\5x=20\\x=\frac{20}{5}\\x=4

So, x-intercept is (4,0)

Finding y-intercept

For finding y-intercept put x=0

We are given the equation:

5x-4y=20

Solving:

5x-4y=20\\5(0)-4y=20\\-4y=20\\y=\frac{20}{-4}\\y=-5

So, y-intercept is (0,-5)

the x and y intercepts of the equation: 5x-4y=20 are :y-intercept is (0,-5) and x-intercept is (4,0)

So, Option D is correct.

Keywords: x and y intercepts

Learn more about x and y intercepts at:

  • brainly.com/question/1502731
  • brainly.com/question/11705002
  • brainly.com/question/1332667

#learnwithBrainly

6 0
3 years ago
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