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3 years ago

If the polygon shown below is a regular nonagon what is the value of x?

Mathematics

1 answer:

jeyben [28]3 years ago

3 0

The sum of the measures of the angles of a polygon is given by (n - 2)(180), where n is the number of sides. In this case we would have (9-2)(180)=7(180)=1260. This is the sum of the angles. Since it is a regular nonagon, that means that all sides are congruent and all angles are congruent. Therefore we find the measure of each individual angle by dividing the sum, 1260, by the number of sides, 9. 1260/9=140. x forms a linear pair with one of the interior angles; that means that the interior angle, 140, added to x would give us 180. Therefore we find x by subtracting 180-140. x = 40.

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Please help!!! the question is in the picture above— this is geometry

Serga [27]

Use the co‐interior rule, corresponding angle rule, alternate angle rule and vertical opposite angle rule to solve the question above.

angle G5 = angle K1 reason : corresponding angles

angle J1 = angle H3 reason: vertical opposite angles

angle J2 = angle K4 reason: vertical opposite angles

angle G5 = angle K4 reason: co‐ interior angles

angle F6 = angle K4 reason: alternate angle

8 0

2 years ago

The width of a box is x units.

wariber [46]

Answer:

3x² + 30x

Step-by-step explanation:

width of a box = x units.

height of a box = 3 units.

length of a box = (x + 10) units.

Volume of the box = length × width × height

= (x + 10) * x * 3

= (x + 10) * 3x

= 3x² + 30x

Volume of the box = 3x² + 30x

8 0

2 years ago

What is the horizontal asymptote of the function f(x)= -2x/x+1

daser333 [38]

Answer:

-2

Step-by-step explanation:

We have been given a function f(x)=\frac{-2x}{x+1} and we are asked to find the horizontal asymptote of our given function.

Recalling the rules for a horizontal asymptote:

1. If the numerator and denominator have equal degree, the horizontal asymptote will be the ratio of the leading coefficients.

2. If the polynomial of denominator has larger degree than the numerator, then the horizontal asymptote will be the x-axis or y=0.

3. If the polynomial of numerator has larger degree than denominator, then the function has no horizontal asymptote.

Here, the numerator and denominator are of the same degree. So the horizontal asymptote will be the ratio of the coefficients.

Horizontal asymptote = $-\frac{2}{1}$ = -2

8 0

2 years ago

Through: (6, 2), perpendicular to y = -x-5 in slope intercept form

True [87]

Answer:

y = x-4

Step-by-step explanation:

y = -x-5

Slope of line is -1.

Slope of perpendicular to line is 1.

Point-slope equation for line of slope 1 that passes through (6,2):

y-2 = 1(x-6)

Rearrange equation to slope-intercept form:

y = 1(x-6) + 2

y = x-4

6 0

2 years ago

PLSS HELPP I'm Desperate

andrey2020 [161]

Answer:

20 2 x 20 =40 per min

Step-by-step explanation:

we know u desperate hehe lol

but

5 0

2 years ago