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mixas84 [53]
3 years ago
14

Solve for X. The Triangles in each pair are similar

Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Answer:

x = 7

Step-by-step explanation:

In this question, we need to find what the value of x is.

To do so, we need to find the value of the change of the triangle, since the triangles are basically the same

We know to get from 18 to 27, we would need to multiply 18 by 1.5.

This means that the triangle "BCD" is increasing from 1.5 to get "JKL"

With this knowledge, we also know that side CB, 10, needs to increase by 1.5

When you multiply 10 by 1.5, you get 15.

The triangle side "JK" is the same side as "CB", so we need to find what makes the value of 15 for the "JK" side.

To do this, solve 3x-6 for 15.

3x - 6 = 15

Add 6 to both sides.

3x = 21

Divide both sides by 3

x = 7

The x-variable would be 7.

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Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1? On a coordinate plane, a vertical dashed line at (n
Deffense [45]

The axis of symmetry of f(x) is:

On a coordinate plane, a vertical dashed line at (2, 0) is parallel to

the y-axis ⇒ 2nd answer

Step-by-step explanation:

The vertex form of a quadratic function is f(x) = a(x - h)² + k, where

  • (h , k) are the coordinates of its vertex point
  • The axis of symmetry of it is a vertical line passes through (h , 0)
  • The minimum value of the function is y = k at x = h

∵ f(x) = a(x - h)² + k

∵ f(x) = (x - 2)² + 1

∴ a = 1 , h = 2 , k = 1

∵ The axis of symmetry of f(x) is a vertical line passes through (h , 0)

∴ The axis of symmetry of f(x) is a vertical line passes through (2 , 0)

∵ Any vertical line is parallel to y-axis

∴ The axis of symmetry of f(x) is a vertical line parallel to y-axis and

   passes through (2 , 0)

The axis of symmetry of f(x) is:

On a coordinate plane, a vertical dashed line at (2, 0) is parallel to

the y-axis

   

Learn more:

You can learn more about quadratic function in brainly.com/question/9390381

#LearnwithBrainly

6 0
3 years ago
Read 2 more answers
Consider the inequality -5(x+7) <-10. write an inequalityrepresenting the soulution for x.
Gwar [14]

Answer:

x > -5

Step-by-step explanation:

You multiply both sides by -1

Simplify

Divide both sides by 5

Simplify

Subtract 7 from both sides

Simplify

Please give me BRAINLIEST and THANKS lol <( ̄︶ ̄)>

6 0
3 years ago
Which polynomial represents the sum below?<br> (3x2 + 3) + (3x2 + x + 4)
DIA [1.3K]
Add like terms just like you would anywhere else...6 x^{2} +x+7
6 0
3 years ago
The distance between -4,1 and -2,2
Vlad1618 [11]

Answer:

✓32

or

4✓2

or

5.66

Step-by-step explanation:

That's the answer. Hope it helps

8 0
3 years ago
Use the grouping method to factor the polynomial below completely 3x^3+9x^2+5x+15​
Tomtit [17]

Answer:

(x+3)( 3x^2 +5)

Step-by-step explanation:

3x^3+9x^2+5x+15​

Split into two groups

3x^3+9x^2     +5x+15​

Factor 3x^2 out of the  first group and 5 out of the second group

3x^2 ( x+3)  + 5(x+3)

Factor out x+3

(x+3)( 3x^2 +5)

6 0
3 years ago
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