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Stolb23 [73]
1 year ago
10

The centre of the stained glass window is in the shape of a regular polygon. What are the measures of the interior angle of the

green triangle?
CAN SOMEONE EXPLAIN WITH REASONING STEP BY STEP Solution so I can grasp the concept easily. please explain with a sol

Mathematics
1 answer:
tester [92]1 year ago
4 0

Answer:

67.5 - 67.5 - 45 °

Step-by-step explanation:

Sum of INTERIOR angles of a polygon

  (n-2) * 180      <====<u>ya just have to remember/know this !</u>

n is the number of sides     n = 8 in this case

(8-2)*180 = 1080 °     < === this is the SUM of the 8 interior angles

        EACH interior angle is then   1080 / 8 = 135 °

  you can see from the picture that each of the two outside angles of the green triangle are 1/2 of this = 67.5° each

   so the triangle measurements are

              67.5 - 67.5 - 45     ( they have to sum to 180 for triangle)

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luda_lava [24]

Answer:44

Step-by-step explanation:

Because all angles are the same on a triangle

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What is the formula to find volume of regular objects?
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In a chess variant, a "lord" can move one space at a time, either upward, or to the right, or diagonally up and to the right. ho
valentina_108 [34]

There are 48639 ways for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard

<h3>Further explanation</h3>

The probability of an event is defined as the possibility of an event occurring against sample space.

\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }

<h2>Permutation ( Arrangement )</h2>

Permutation is the number of ways to arrange objects.

\large {\boxed {^nP_r = \frac{n!}{(n - r)!} } }

<h2>Combination ( Selection )</h2>

Combination is the number of ways to select objects.

\large {\boxed {^nC_r = \frac{n!}{r! (n - r)!} } }

Let us tackle the problem.

This problem is similar to Pascal Triangle.

The Lord can move to the right or up in one way only.

We can put "1" in each box on the bottom and left to represent 1 possible movement.

To get the possibility of movement to another box, we will add the possibility of movement to the left, right, and diagonal squares as shown in Figure 1.

This process is repeated for the next box as shown in Figure 2.

Finally, after this process is repeated until the top right box, we get the results as shown in Figure 3.

There are 48639 ways for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard.

<h3>Learn more</h3>
  • Different Birthdays : brainly.com/question/7567074
  • Dependent or Independent Events : brainly.com/question/12029535
  • Mutually exclusive : brainly.com/question/3464581

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

7 0
3 years ago
3(12x – 9) + 9 = 2x + 4<br> Would this be infinite solution, one solution or no solution?
timama [110]

Answer:

One solution

Step-by-step explanation:

Let us first <u>expand</u> the left side of the equation to rid of the parenthesis:

3*12x-3*9+9=2x+4\\36x-27+9=2x+4\\36x-18=2x+4

Now let us <u>isolate</u> the variable to sove for x:

36x-2x=4+18\\34x=22\\x=\frac{22}{34}\\x=\frac{11}{17}

Therefore, x=\frac{11}{17}. As you can see, there is just one solution.

<em>I hope this helps! Please let me know if you have any further questions :)</em>

8 0
3 years ago
Plss help me as soon as possible i will give you lots of points
mezya [45]

Answer:

Step-by-step explanation:

75x + -300 = 25x + 200

Reorder the terms:

-300 + 75x = 25x + 200

Reorder the terms:

-300 + 75x = 200 + 25x

Solving

-300 + 75x = 200 + 25x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-25x' to each side of the equation.

-300 + 75x + -25x = 200 + 25x + -25x

Combine like terms: 75x + -25x = 50x

-300 + 50x = 200 + 25x + -25x

Combine like terms: 25x + -25x = 0

-300 + 50x = 200 + 0

-300 + 50x = 200

Add '300' to each side of the equation.

-300 + 300 + 50x = 200 + 300

Combine like terms: -300 + 300 = 0

0 + 50x = 200 + 300

50x = 200 + 300

Combine like terms: 200 + 300 = 500

50x = 500

Divide each side by '50'.

x = 10

Simplifying

x = 10

3 0
3 years ago
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