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Andrei [34K]
2 years ago
12

If an exterior angle measure of a regular polygon is 60°, how many sides does the polygon have? What is the measure of each inte

rior angle?​
Mathematics
1 answer:
liberstina [14]2 years ago
7 0

9514 1404 393

Answer:

  • 6 sides
  • 120°

Step-by-step explanation:

The sum of the measures of the exterior angles of a convex polygon is always 360°. If each is 60°, there are 360°/60° = 6 of them.

There are 6 sides.

The adjacent interior angle is the supplement of the exterior angle, so is ...

  180° -60° = 120°.

Each interior angle measures 120°.

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find four solutions for the following linear equations your answer must include at least two positive numbers for X and at least
sattari [20]

9514 1404 393

Answer:

  (-18, 14), (-9, 9), (9, -1), (18, -6)

Step-by-step explanation:

Since there is a 9 in the denominator of the coefficient of x, we will get integer solutions only if x is a multiple of 9. Suitable values meeting the problem requirements are x ∈ {-18, -9, 9, 18}. Then the corresponding values of y are ...

  y = -5/9(-18) +4 = 10 +4 = 14

  y = -5/9(-9) +4 = 5 +4 = 9

  y = -5/9(9) +4 = -5 +4 = -1

  y = -5/9(18) +4 = -10 +4 = -6

The four solutions we have found are ...

  (-18, 14), (-9, 9), (9, -1), (18, -6)

4 0
2 years ago
Put the following equation of a line into slope intercept form simplifying all fractions 10x-2y=6
Anarel [89]

Answer:

Slope-Intercept form:   y = m x + b

y = value of y corresponding to value of x

2 y = 10 x - 6

y = 5 x - 3         equation of line where m is the slope and -3 value of y when x                      

                         equals  zero

3 0
2 years ago
Raise p to the 8th power, then divide q by the result
Ket [755]
Is there any picture that goes to this? Or is it just this as a question.
5 0
2 years ago
(4x – 8)(3x + 9) = 0​
Gwar [14]

Answer:

\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

x=2,\:x=-3

Step-by-step explanation:

Considering the equation

                         \left(4x\:-\:8\right)\left(3x\:+\:9\right)\:=\:0

solving the equation

\left(4x\:-\:8\right)\left(3x\:+\:9\right)\:=\:0

\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

\mathrm{Solve\:}\:4x-8=0

4x-8=0

4x-8+8=0+8

4x=8

x=2

\mathrm{Solve\:}\:3x+9=0

3x+9=0

3x+9-9=0-9

3x=-9

x=-3

\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

x=2,\:x=-3

4 0
3 years ago
Please help solve 3x + 11 /2 = -2
Goryan [66]
This equation works for 3x+11 over 2
(3x + 11) /2 = -2
(3x + 11) = 4
3x = -7
x = 2.3333(repeating) or 2 1/3
6 0
2 years ago
Read 2 more answers
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