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ELEN [110]
2 years ago
8

The total number of degrees, D, in an n-sided polygon is given by the formula D=180(n-2). When Janelle solves for n, she gets n=

D+360/180. Sophie solved the same equation for n and got an equivalent equation. Which of the following could be Sophie’s equation?
n=D/180 +2


n=D/180 -2


n=D-178


n=D-182
Mathematics
2 answers:
Rus_ich [418]2 years ago
3 0
<span>D = 180 * (n -2)
D = 180n -360
180n = D +360
n = (D / 180) + 2

So, the answer is "A"
And we can test this with a square, sum of angles = 360
n = (D / 180) +2
n = (360 / 180) +2
number of sides = 4
correct

Source:
http://www.1728.org/polygon.htm



</span>
Maksim231197 [3]2 years ago
3 0
D=180(n-2)
Solving for n. Dividing both sides of the equation by 180:
D/180=180(n-2)/180
D/180=n-2
Adding 2 both sides of the equation:
D/180+2=n-2+2
D/180+2=n
n=D/180+2

Answer: First Option n=D/180+2

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Point H is the circumcenter of triangle DEF.
Crank
Circumcenter and circumcirle are shown in the attachment. Assume that the triangle is DEF instead of ABC and that the intersection of perpendiculars is H.
The definition of the circumcenter of a triangle is defined as the point of intersection of all the perpendicular bisectors in the triangle.
The circumcircle passes by all three of the triangle's vertices.

Based on the above, the right choiceS will be:
Point H is the center of the circle that passes through points D, E, and F. 
HD = HE




3 0
2 years ago
Read 2 more answers
In the diagram, P1P2 and Q1Q2are the perpendicular bisectors of AB¯¯¯¯¯ and BC¯¯¯¯¯, respectively. A1A2 and B1B2 are the angle b
4vir4ik [10]
We have to choose the correct answer for the center of the circumscribed circle of a triangle. The center of the circumscribed circle of a triangle is where the perpendicular bisectors of a triangle intersects. In this case P1P2 and Q1Q2 are perpendicular bisectors of sides AB and BC, respectively and they intersect at point P. S is the point where the angle bisectors intersect ( it is the center of the inscribed circle ). Answer: <span>P.</span>
7 0
2 years ago
A machine shop produces heavy duty high endurance 20-inch rods that are meant for use in a variety of military grade equipment.
QveST [7]

Answer:

The probability that a defective rod can be salvaged = 0.50

Step-by-step explanation:

Given that:

A machine shop produces heavy duty high endurance 20-inch rods

On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.

If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.

Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20  - 15 )inches

Now:

P(X ≤ 5) = \dfrac{5}{20}

= 0.25

P(X ≥ 15) = \dfrac{5}{20}

= 0.25

The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)

= 0.25+0.25

 = 0.50

∴ The probability that a defective rod can be salvaged = 0.50

4 0
2 years ago
in one week, 128 cell phones were sold. The following week 37 more cell phones were sold than the week before. How many cell pho
Pani-rosa [81]

\large\bf{\underline{Given :}}

  • 128 cellphones were sold in a week
  • 37 more cellphones more were sold than the week before

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎\large\bf{⟹128+37=165}

__________________________________________

\large\bf{\underline{Therefore:}}

\bf{Total\: number\:of\: cellphones\:sold\:in\:two\:weeks}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\large{⟹128 + 165}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\large{⟹293}

__________________________________________

\large\bf{\underline{Hence}}

  • 293 cellphones were sold in given 2 weeks
6 0
2 years ago
Your tutor asks you to record the time you spend using IT during the week. You have recorded this time below: Day Time Monday 0.
NikAS [45]

Let us convert all figures into decimals so that we can compare them easily.

Monday    0.3

Tuesday   15% = 0.15

Wednesday   1/6 = 0.1666

Thursday   0.2

Friday   1/8 = 0.125

Clearly, I spent the least amount of time on Friday using IT and the time is 0.125 or 1/8.


7 0
2 years ago
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