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vovikov84 [41]
2 years ago
11

A. Find the common difference of the arithmetic sequence. 22, 19.5, 17, 14.5. ...

Mathematics
2 answers:
Nastasia [14]2 years ago
8 0

Answer:

a^n=-2.5m+24.5

Step-by-step explanation:

Use the formula a^n = a^1 + d (n-1) to identify the arithmetic system.

zloy xaker [14]2 years ago
7 0

Answer:

69

Step-by-step explanation:

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Triangles DEF and D'E'F' are shown on the coordinate plane below: . . Triangle DEF and triangle D prime E prime F prime with ord
Brilliant_brown [7]
<span><u><em>The correct answer is:</em></u>
180</span>°<span> rotation.

<u><em>Explanation: </em></u>
<span>Comparing the points D, E and F to D', E' and F', we see that the x- and y-coordinates of each <u>have been negated</u>, but they are still <u>in the same position in the ordered pair. </u>

 <u>A 90</u></span></span><u>°</u><span><span><u> rotation counterclockwise</u> will take coordinates (x, y) and map them to (-y, x), negating the y-coordinate and swapping the x- and y-coordinates.

<u> A 90</u></span></span><u>°</u><span><span><u> rotation clockwise</u> will map coordinates (x, y) to (y, -x), negating the x-coordinate and swapping the x- and y-coordinates.

Performing either of these would leave our image with a coordinate that needs negated, as well as needing to swap the coordinates back around. 

This means we would have to perform <u>the same rotation again</u>; if we began with 90</span></span>°<span><span> clockwise, we would rotate 90 degrees clockwise again; if we began with 90</span></span>°<span><span> counter-clockwise, we would rotate 90 degrees counterclockwise again. Either way this rotates the figure a total of 180</span></span>°<span><span> and gives us the desired coordinates.</span></span>
4 0
3 years ago
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Given the figure below, find the values of x and z.<br> (8x – 20)<br> (14x – 20)
Gnesinka [82]

Answer:

Problem #1:  x = 2.5

Problem #2:  x = 10/7

Step-by-step explanation:

Step 1:  Find the value of x in (8x - 20)

8x - 20 = 0

<u>Add 20 to both sides</u>

8x - 20 + 20 = 0 + 20

<em>8x = 20</em>

<em />

<u>Divide both sides by 8</u>

8x / 8 = 20 / 8

<em>x = 2.5</em>

<em />

Answer:  x = 2.5

<em />

Step 2:  Find the value of x in (14x - 20)

14x - 20 = 0

<u>Add 20 to both sides</u>

14x - 20 + 20 = 0 + 20

<em>14x = 20</em>

<em />

<u>Divide both sides by 14</u>

14x / 14 = 20 / 14

<em>x = 10/7</em>

<em />

Answer:  x = 10/7

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Help me out with number 9 (geometry)
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Answer:

The answer to the question provided is 37.5.

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Find the volume of the triangular prism.​
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Answer:

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Step-by-step explanation:

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