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3 years ago

What is the sum of the interior angles of the polygon shown below?

Mathematics

2 answers:

Alinara [238K]3 years ago

7 0

Answer:

Sum of interior angle = 900

Step-by-step explanation:

It has 7 sides

Sum of angle for a polygon = (n-2)180

7 sides= (7-2)180

Sum of angle = 5*180

" = 900

crimeas [40]3 years ago

3 0

Answer: 360 degrees!

Step-by-step explanation: To find the sum of the interior angles, multiply the number of triangles by 180. C) The sum of the interior angles in any polygon can be found by multiplying the number of triangles formed by the diagonals from one vertex times 180 degrees in each triangle. Hope this helps, have a wonderful day! :D

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What is the volume of the right triangular prism? 15 ft? 30 ft 150 ft 300 ft

Helga [31]

Here's link to the answer:

tinyurl.com/wpazsebu

5 0

3 years ago

Find the x-intercepts for the parabola defined by the equation below. y = x2 - 9x + 18

8_murik_8 [283]

Answer:

Option D is the correct answer

Step-by-step explanation:

The x intercepts of the parabola are the solutions of the equation. These points can be determined either by graphical method or by solving the quadratic equation with any of the methods of solving a quadratic equation.

In order to use the graphical method, values of x are picked and substituted into the equation to get corresponding values of y. The y values are plotted against the x axis and the parabola (downward) is drawn. The points where it cuts the horizontal axis become the solutions of the equation

y = x^2 - 9x + 18

Solving the equation by using the factorization method,

x^2 - 9x + 18 = 0

x^2 - 6x - 3x + 18 = 0

x(x-6)-3(x-6)

(x-6)(x-3) = 0

x -6 = 0 or x -3 = 0

x = 6 or x = 3

The x-intercepts are (3, 0) and (6, 0)

8 0

3 years ago

Read 2 more answers

Solve the following using Substitution method 2x – 5y = -13 3x + 4y = 15

Digiron [165]

$\huge \boxed{\mathfrak{Question} \downarrow}$

Solve the following using Substitution method

2x – 5y = -13

3x + 4y = 15

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\left. \begin{array} { l } { 2 x - 5 y = - 13 } \\ { 3 x + 4 y = 15 } \end{array} \right.$

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

$2x-5y=-13, \: 3x+4y=15$

Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.

$2x-5y=-13$

Add 5y to both sides of the equation.

$2x=5y-13$

Divide both sides by 2.

$x=\frac{1}{2}\left(5y-13\right) \\$

Multiply $\frac{1}{2}\\$ times 5y - 13.

$x=\frac{5}{2}y-\frac{13}{2} \\$

Substitute $\frac{5y-13}{2}\\$ for x in the other equation, 3x + 4y = 15.

$3\left(\frac{5}{2}y-\frac{13}{2}\right)+4y=15 \\$

Multiply 3 times $\frac{5y-13}{2}\\$ .

$\frac{15}{2}y-\frac{39}{2}+4y=15 \\$

Add $\frac{15y}{2} \\$ to 4y.

$\frac{23}{2}y-\frac{39}{2}=15 \\$

Add $\frac{39}{2}\\$ to both sides of the equation.

$\frac{23}{2}y=\frac{69}{2} \\$

Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.

$\large \underline{ \underline{ \sf \: y=3 }}$

Substitute 3 for y in $x=\frac{5}{2}y-\frac{13}{2}\\$ . Because the resulting equation contains only one variable, you can solve for x directly.

$x=\frac{5}{2}\times 3-\frac{13}{2} \\$

Multiply 5/2 times 3.

$x=\frac{15-13}{2} \\$

Add $-\frac{13}{2}\\$ to $\frac{15}{2}\\$ by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

$\large\underline{ \underline{ \sf \: x=1 }}$

The system is now solved. The value of x & y will be 1 & 3 respectively.

$\huge\boxed{ \boxed{\bf \: x=1, \: y=3 }}$

8 0

3 years ago

A game board has 9 cards, and 3 say WIN. Michal picks 2 cards without replacing the first What is the probability that neither s

s2008m [1.1K]

Answer:

since there are 8 cards, and 2 say WIN, 6 of the 8 cards don't say WIN. You can express this as a ratio of 6:8 which equals 3:4, so the probability that neither says win is 75%.

Step-by-step explanation:

6 0

4 years ago

The volume of a sphere is 3,000 m^3. What is the surface area of the sphere to the nearest square meter?

vovangra [49]

Answer:

Step-by-step explanation:

V=4 /3πr3

3000=1 1/3*3.14*r*r*r

3000=4.18666667*r*r*r

716.560509= $r^{3}$

Cube root the number

8.94851471456=r

TSA=4 $\pi$ $r^{2}$

TSA=4*3.14*8.94851471456*8.94851471456

TSA=1006.26

Since we used different numbers for pi and I rounded our answer will be different but the answer is C

3 0

3 years ago