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Anastaziya [24]
3 years ago
14

Given that the images represent 4 steps in the construction of a line segment congruent to a given line segment, which is step 3

in the construction?
Mathematics
1 answer:
Evgen [1.6K]3 years ago
8 0

Answer:

Adjust the compasses' width to the point Q. The compasses' width is now equal to the length of the line segment PQ.

Step-by-step explanation:

Start with a line segment PQ that we will copy. Mark a point R that will be one endpoint of the new line segment. Set the compasses' point on the point P of the line segment to be copied. Adjust the compasses' width to the point Q. The compasses' width is now equal to the length of the line segment PQ.


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Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)
balu736 [363]

Answer: 14 meters

Step-by-step explanation:

Use the pythagorean theorem to solve.

12 ² + 8 ²= c ²

208= c ²

√ 208 = √ c ²

14.42= c

14 meters

5 0
3 years ago
Read 2 more answers
What is the solution to the system of equations? 3x-6y=-12 " " x-2y=10 Use the substitution method to justify that the given sys
Thepotemich [5.8K]

The two lines in this system of equations are parallel

Step-by-step explanation:

Let us revise the relation between 2 lines

  • If the system of linear equations has one solution, then the two line are intersected
  • If the system of linear equations has no solution, then the two line are parallel
  • If the system of linear equations has many solutions, then the two line are coincide (over each other)

∵ The system of equation is

3x - 6y = -12 ⇒ (1)

x - 2y = 10 ⇒ (2)

To solve the system using the substitution method, find x in terms of y in equation (2)

∵ x - 2y = 10

- Add 2y to both sides

∴ x = 2y + 10 ⇒ (3)

Substitute x in equation (1) by equation (3)

∵ 3(2y + 10) - 6y = -12

- Simplify the left hand side

∴ 6y + 30 - 6y = -12

- Add like terms in the left hand side

∴ 30 = -12

∴ The left hand side ≠ the right hand side

∴ There is no solution for the system of equations

∴ The system of equations represents two parallel lines

The two lines in this system of equations are parallel

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/8628615

#LearnwithBrainly

6 0
3 years ago
Solve for x: three fourths times x plus five fourths equals four times x
Nostrana [21]

Answer:

x equals  five thirteenths

Step-by-step explanation:

To solve this, we will follow the steps below;

\frac{3}{4} ×  x  + \frac{5}{4}  =  4 × x

\frac{3x}{4} + \frac{5}{4}   = 4x

\frac{3x + 5}{4} =  4x

Multiply both-side of the equation by 4

\frac{3x + 5}{4} × 4=  4x × 4

On the left-hand side of the equation 4 will cancel-out 4, thus the equation becomes;

3x + 5 = 16x

subtract 3x from both-side of the equation

16x - 3x = 5

13x = 5

Divide both-side of the equation by 13

\frac{13x}{13} = \frac{5}{13}

(On the left-hand side of the equation 13 at the numerator will cancel-out 13 at the denominator while on the right-hand side of the equation 5 will be divided by 13)

x = \frac{5}{13}

x equals  five thirteenths

7 0
3 years ago
There are 190 students taking band, chorus , or both. If there are 180 students taking band and 60 students in both hand and cho
dimulka [17.4K]
There are 10 students only taking chorus
7 0
3 years ago
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Consider this quadratic equation. 2x2 − 1 = 3x + 4 Which equation correctly applies the quadratic formula?
Mariulka [41]

Answer:

\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)}

Step-by-step explanation:

Quadratic formula: \frac{-b+-\sqrt{b^2-4ac} }{2a}

2x^2-1=3x+4\\\\2x^2-3x-5=0\\\\\\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)} \\\frac{3+-\sqrt{9+40} }{4}

x = \frac{3+-7}{4}

Hope this helps and God bless!

6 0
2 years ago
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