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oee [108]
3 years ago
13

Calculate interior angle of a regular 15 sided polygon​

Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0

Answer:

156°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 15 , then

sum = 180° × 13 = 2340°

interior angle = \frac{sum}{n} = \frac{2340}{15} = 156°

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Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)
cluponka [151]

Answer:

B

Step-by-step explanation:

y = \frac{1}{4} is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 6, - 9 ) with equation

x = - 6 → B

5 0
3 years ago
Simplify the expression
kow [346]

Answer:

<h3>           f(x) = 5x² + 2x</h3><h3>           g(x) = 6x - 6</h3>

Step-by-step explanation:

\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}\\\\6(x^2-3x+2)\ne0\ \iff\ x=\frac{3\pm\sqrt{9-8}}{2}\ne0\ \iff\ x\ne2\ \wedge\ x\ne1\\\\\\\dfrac{5x^3-8x^2-4x}{6x^2-18x+12}=\dfrac{x(5x^2-8x-4)}{6(x^2-3x+2)}=\dfrac{x(5x^2-10x+2x-4)}{6(x^2-2x-x+2)}=\\\\\\=\dfrac{x[5x(x-2)+2(x-2)]}{6[x(x-2)-(x-2)]} =\dfrac{x(x-2)(5x+2)}{6(x-2)(x-1)}=\dfrac{x(5x+2)}{6(x-1)}=\dfrac{5x^2+2x}{6x-6}\\\\\\f(x)=5x^2+2x\\\\g(x)=6x-6

4 0
2 years ago
Please help i am super confused on what to do :)
Ludmilka [50]

Answer:

About 9.1 yards tall.

Step-by-step explanation:

So, we can draw the right triangle shown below:

We want to find h.

Since we know the angle and the side adjacent to the angle and we wan to find the opposite side, we will use the tangent ratio:

\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}

So:

\displaystyle \tan(20)=\frac{h}{25}

Therefore:

\displaystyle h=25\tan(20)

Use a calculator. Ensure your calculator is in the correct mode (degrees mode):

h\approx 9.1\text{ yards}

The goal post is around 9.1 yards tall.

7 0
3 years ago
For which values of a, b, and c will Ax+ By=C be a horizontal line through the point (-4,2)
RUDIKE [14]

Answer:

A = 0, B = 1 and C = 2

Step-by-step explanation:

The slope of a horizonal line is zero.

y = mx + b              Use the slope intercept form with m = 0  and point (-4, 2).

2 = 0(-4) + b           Solve for "b"

2 = 0 + b

2 = b

The equation in slope intercept form is y = 0x + 2 ; y = 2.

The equation in standard form: Ax + By = C   has the value 0x + y = 2

3 0
2 years ago
Rory played 9 holes of golf. On each hole took 4 strokes to get his ball in the hole. Choose Yes or no to tell if each equation
Rashid [163]

Answer:

what are the equation options???

Step-by-step explanation:

3 0
3 years ago
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