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amid [387]
3 years ago
8

The equation a=180(n-2)/n represents the angle measures, a, ina regular n- sided polygon. When the equation is solved for n, n i

s equal to a fraction with a denominator of a-180. What is the numerator of the fraction?​

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
3 0

Answer:

-360

Step-by-step explanation:

Given:

a = \frac{180(n - 2)}{n}

Solve for n. Multiply both sides by n

a*n = \frac{180(n - 2)}{n}*n

an = 180(n - 2)

Apply the distributive property

an = 180n - 360

Subtract 180n from both sides

an - 180n = - 360

Factor out n

n(a - 180) = - 360

Divide both sides by (a - 180)

n = \frac{-360}{a - 180}

Therefore, the numerator of the fraction that n is equal to is -360

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ozzi

Answer:

T=45m+23

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If y varies inversely as x, and y = 12 when x = 6, what is K, the variation constant? A. 2 B. 72 C. 144 D. 1/3
Gala2k [10]

In this question, it is given that y varies inversely as x . So the equation is

y = \frac{k}{x}

And here k is the proportionality constant .

And when x=6, y=12

12 = \frac{k}{6}
\\
k =72

So the values of the proportionality constant k is 72 and the correct option is B.



8 0
3 years ago
Find the nth term of the sequence -5,-1,3,7​
igomit [66]

Answer:

7

Step-by-step explanation:

n= 4, a= -5, d = -1-(-5)= -1+5 = 4

Tn = a + (n-1)d

Tn = -5 + (4-1)4 = -5 + (3)4 = -5+12 = 7

6 0
3 years ago
On a coordinate grid the coordinates of vertices p and q for polygon pars are p(5,4) and q(-2,4) what is the length of side pq?
Mariulka [41]

Answer:

pq = 7

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = p(5, 4) and (x₂, y₂ ) = q(- 2, 4)

pq = \sqrt{(-2-5)^2+(4-4)^2}

     = \sqrt{(-7)^2+0^2}

     = \sqrt{49}

     = 7

4 0
4 years ago
Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) i
Vaselesa [24]

Complete question:

Dr. Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (V) is the color of the light produced by the lamp (red, orange, yellow, green, or blue) Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable. The order of the color of the light presentation is to be counterbalanced. Using concepts from the textbook, why would Dr. Lyte need to use counterbalancing in this scenario?

Answer:

Here,

Independent variable (IV) is: the color of the light produced by the lamp (red, orange, yellow, green, or blue)

We are also told only 10 participants are available.

All 10 participants are being exposed to all five levels of the color variable in the same order.

Counterbalancing is said to be a technique used when establishing task order. It helps prevent introduction if cofounding variables.

Dr. Lyte will need to use counterbalancing technique in this scenario because some of the participants may be unable to understand difference in similar colours. Example some participants may not be able to differentiate between orange and red when the red colour comes after orange.

But using counterbalancing technique, Dr. Lyte can avoid such an error.

6 0
4 years ago
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