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Savatey [412]
3 years ago
12

when constructing the incenter of a triangle, The inersection of all three of which type of line needs to be found

Mathematics
1 answer:
lesantik [10]3 years ago
3 0
Answer: Angle bisector

The angle bisector is the line that cuts an angle in half. The three angle bisectors all intersect at the same point which is the incenter. The incenter is the center of the circle in which is largest possible, yet it's fully inside the triangle. No part of this circle is outside the triangle. 
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The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 31
iren [92.7K]
W = kL    where W = weight supported,  L = length of the beam and k is constant of variation.

Substituting the given values:-

310 = 2k
k = 155

so equation of variation is W = 155L

For length 10  m  the weight it can support is

W = 155*10  = 1550 kg answer
8 0
3 years ago
Read 2 more answers
Ebony's gross income is $46 660 with allowable tax deductions of $4120. a What is Ebony's taxable income? b Calculate the amount
jasenka [17]

Answer:

(a) Ebony's taxable income = $42,540

(b) Amount of tax due = $5190.3

(c) Amount of tax owed = $4810.3

Step-by-step explanation:

Ebony's gross income = $46,660 (given)

Allowable tax deductions = $4,120 (given)

(a) Taxable Income = Gross income - Tax deductions

Ebony's taxable income = $46,660 - $4,120

Ebony's taxable income = $42,540

(b) Amount of tax due = 22% of Taxable Income,

Refer to the USA Tax Brackets for 2019 (See Attached image)

Amount of tax due = 10% on first $9,700 + 12% on ($39475-$9700) + 22% on  ($42540-$39475).

Amount of tax due = 10% on first $9,700 + 12% on $29775 + 22% on $3065.

Amount of tax due = $970 + $3573 + $647.3

Amount of tax due = $5190.3

(c) Ebony pays $95 per week in tax. In four weeks (a month), she'd pay

$95 * 4 = $380

Amount of tax owed = Amount of tax due - Amount of tax paid

Amount of tax owed = $5190.3 - $380 = $4810.3

3 0
3 years ago
What are the Division Properties of Zero?
Lelu [443]

You cannot divide any number by zero since it is meaningless to say that we are dividing a number or object in zero groups or in 0 size parts

7 0
3 years ago
Point N is on line segment MO. Given NO = 2x– 3, MO = 3x + 5, and
spin [16.1K]

Answer:

The numerical length of MO is 20 units

Step-by-step explanation:

Let us solve the question

∵ Point N is on line segment MO

→ That means point N divides segment MO into two parts MN and NO

∴ MO = MN + NO

∵ MO = 2x + 5

∵ MN = 2x + 3

∵ NO = 2x - 3

→ Substitute them in the equation above

∴ 3x + 5 = (2x + 3) + (2x - 3)

→ Add the like terms in the right side

∵ 3x + 5 = (2x + 2x) + (3 - 3)

∴ 3x + 5 = 4x + 0

∴ 3x + 5 = 4x

→ Subtract 3x from both sides

∵ 3x - 3x + 5 = 4x - 3x

∴ 5 = x

∴ The value of x is 5

→ To find MO substitute x by 5 in its expression

∵ MO = 3x + 5

∴ MO = 3(5) + 5

∴ MO = 15 + 5

∴ MO = 20 units

The numerical length of MO is 20 units

5 0
3 years ago
(8x-16)/x^2-13x+22 simpifyed completly
Veronika [31]

Answer:

  • 3. 8 over x minus 11 , x ≠ 11

Step-by-step explanation:

  • (8x-16)/(x²-13x+22) =
  • 8(x-2)/(x² - 2x - 11x + 22) =
  • 8(x - 2)/(x - 2)(x - 11) =
  • 8/(x - 11)

6 0
3 years ago
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