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vlabodo [156]
1 year ago
11

Anton will be constructing a segment bisector with a compass and straightedge, while Maxim will be constructing an angle bisecto

r with a compass and straightedge. Describe the similarities and differences between their construction steps.

Mathematics
1 answer:
seraphim [82]1 year ago
7 0

Answer:

kyfmjtulk thet ilfyltify ffg i gd gfbki fj fx's yp

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Solve the following equations using any method. Show your work and check your
Gemiola [76]

a) The solution for the equation 2x + 16 = 5x + 4  is x=4.

b) The solution for the equation 3x − 5 = 2x + 14 is x=19.

c) The solution for the equation 5x − 5 = x + 15 is x=5.

<u>Step-by-step explanation:</u>

<u>a) The given equation is  2x + 16 = 5x + 4 </u>

  • From the above equation, it can be found that the equation consists of x terms and constant terms.
  • Therefore, bring all the x terms on one side and the constant terms on other side of the equation.
  • This gives the simplified form of the equation to solve for x value.

⇒ 16-4 = 5x-2x

⇒ 12 = 3x

⇒ x = 12/3

⇒ x = 4

The solution for the given equation is x=4.

<u>To check, substitute x=4 in the equation :</u>

2(4) + 16 = 5(4) + 4

8+16 = 20+4

24 = 24

Therefore, the solution x=4 satisfies the equation 2x + 16 = 5x + 4

Similarly,

<u>b) The given equation is 3x − 5 = 2x + 14</u>

⇒ 3x-2x = 14+5

⇒ x = 19

The solution for the given equation is x=19.

<u>To check, substitute x=19 in the equation :</u>

3(19) - 5 = 2(19) + 14

57-16 = 38+14

52 = 52

Therefore, the solution x=19 satisfies the equation 3x − 5 = 2x + 14

Similarly,

<u>c) The given equation is 5x − 5 = x + 15</u>

⇒ 5x-x = 15+5

⇒ 4x = 20

⇒ x = 20/4

⇒ x = 5

The solution for the given equation is x=5.

<u>To check, substitute x=5 in the equation :</u>

5(5) - 5 = 5 + 15

25-5 = 20

20 = 20

Therefore, the solution x=5 satisfies the equation 5x − 5 = x + 15

5 0
3 years ago
Based on the graphs of f (x) and g(x), what must the domain of (f ⋅ g)(x)be?
dimulka [17.4K]

Answer:

{x ∈ ℝ | x ≠ 2}

Step-by-step explanation:

4 0
2 years ago
4<br> Om obtuse, scalene<br> Obright, scalene<br> Oc, right, isosceles<br> Od, right, equilateral
harina [27]

Answer:

B

Step-by-step explanation:

B. right, scalene

3 0
2 years ago
Francisco needed to get his computer fixed. He took it to the repair
grin007 [14]

Answer:

  $95 per hour

Step-by-step explanation:

The total of charges is the sum of the cost of labor and the cost of parts. The cost of labor is the product of hours (5) and the cost per hour (x). Then the equation for total cost is ...

  total cost = parts cost + hours cost

  651 = 176 + 5x

  475 = 5x . . . . . . . subtract 176

  95 = x . . . . . . . . . divide by 5

The cost of labor per hour is $95.

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Y=1/3mx^3 – (m–1)x^2 + 3(m–2)x +1/3
ValentinkaMS [17]

Answer:

not true

Step-by-step explanation:

i just wants points mate

8 0
3 years ago
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