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irinina [24]
3 years ago
12

Start to finish must use all boxes, cant go diagonally

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0

start at the top and go down one then go to the right and the vice verse

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The measures of ∠1, ∠2, and ∠3 are 40%, 12.5%, and 25% of the sum of the angle measures of the quadrilateral. Find the value of
sweet [91]

The value of x is 81

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360°

  • The measure of ∠1 is 40% of the sum of the angle measures of the quadrilateral
  • The measure of ∠2 is 12.5% of the sum of the angle measures of the quadrilateral
  • The measure of ∠3 is 25% of the sum of the angle measures of the quadrilateral
  • We need to find the value of x

∵ The figure have 4 sides

∴ The figure is a quadrilateral

∵ The sum of the measures of the interior angles of a

    quadrilateral is 360°

- Add the four angles and equate the sum by 360

∴ m∠1 + m∠2 + m∠3 + x = 360

∵ m∠1 = 40% of the sum of the angle measures of the quadrilateral

∴ m∠1 = 40% × 360 = \frac{40}{100} × 360 = 144°

∵ m∠2 = 12.5% of the sum of the angle measures of the quadrilateral

∴ m∠2 = 12.5% × 360 = \frac{12.5}{100} × 360 = 45°

∵ m∠3 = 25% of the sum of the angle measures of the quadrilateral

∴ m∠3 = 25% × 360 = \frac{25}{100} × 360 = 90°

- Substitute these values in the equation above

∴ 144 + 45 + 90 + x = 360

- Add the like terms in the left hand side

∴ 279 + x = 360

- Subtract 279 from both sides

∴ x = 81°

The value of x is 81

Learn more:

You can learn more about the polygons in brainly.com/question/6281564

#LearnwithBrainly

5 0
3 years ago
Y=2x-3<br> y=x+2 system of equations
irina1246 [14]

Answer:

x = 5

y = 7

Step-by-step explanation:

<em>Since they are both equal to </em><em>y</em><em>, we can set them equal to each other.</em>

2x - 3 = x + 2

<em>Combine like terms and isolate the </em><em>x</em><em>.</em>

x = 5

<em>Plug in the x to either equation to get the value of </em><em>y</em><em>.</em>

y = (5) + 2

y = 7

6 0
3 years ago
(12x + y + z = 26
mel-nik [20]

Option D. D has the matrix of constants [[12], [11], [4]].

Step-by-step explanation:

Step 1:

With the given equations, we can form matrices to represent them.

The coefficients of x, y, and z form a matrix of order 3 ×3, the variables x, y, and z form a matrix of order 1 ×3 and the constants form a matrix of order 1 ×3.

Step 2:

The linear system A is represented as

\left[\begin{array}{ccc}12&1&1\\1&-11&0\\1&-1&4\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}26\\17\\23\end{array}\right].

Step 3:

The linear system B is represented as

\left[\begin{array}{ccc}4&1&1\\1&-11&0\\1&-1&12\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}23\\17\\26\end{array}\right].

Step 4:

The linear system C is represented as

\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}4\\11\\12\end{array}\right].

Step 5:

The linear system D is represented as

\left[\begin{array}{ccc}1&1&1\\1&-1&0\\1&-1&1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}12\\11\\4\end{array}\right].

Step 6:

Of the four options, the linear system D has the matrix of constants [[12], [11], [4]]. So the answer is option D. D.

4 0
3 years ago
Gum is packaged in a square-based pyramid shaped box with a distance of 6 cm from the center of the base to the sides and a heig
Juliette [100K]

Answer:

18 cm

Step-by-step explanation:

3 0
3 years ago
Convert the following fraction into its decimal equivalent: 3/8
dedylja [7]
3/8 

Just divide to find the equal decimal. 

3/8 = 0.375

Answer: 0.375  <span>✌️</span>
6 0
3 years ago
Read 2 more answers
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