Answer:
12
Step-by-step explanation:
144 divided by 2 72
72 by 2 36
36 by 2 18
18 by 2 9
3by 3 3
3 by3 1
2x2 2x2 2x2 3x3
pick on from each set
2x2x3
12
The length of the dilated line segment is 80 units.
<h3>What is
dilation?</h3>
Dilation is the increase or decrease in the size of a figure or object.
The segment with endpoints (10,40) and (70,120) is dilated by a factor of 4/5 to get (8, 32) and (56, 96).
The distance between points (8, 32) and (56, 96) is:

The length of the dilated line segment is 80 units.
Find out more on dilation at: brainly.com/question/10253650
Answer:
<h2> </h2><h2>

</h2>
Step-by-step explanation:
<h3>
<u>Question</u><u>:</u><u>-</u></h3>
<h3>
<u>Equation</u><u>:</u><u>-</u></h3>
<h3>
<u>Solution</u><u>:</u><u>-</u></h3>
=> 3x + 4y + 6z = 15
- <em>[</em><em>On</em><em> </em><em>subtracting</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>with</em><em> </em><em>4y</em><em>]</em>
=> 3x + 4y + 6z - 4y = 15 - 4y
- <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>
=> 3x + 6z = 15 - 4y
- <em>[</em><em>On</em><em> </em><em>subtracting</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>with</em><em> </em><em>6z</em><em>]</em>
=> 3x + 6z - 6z = 15 - 4y - 6z
- <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>
=> 3x = 15 - 4y - 6z
- <em>[</em><em>On</em><em> </em><em>dividing</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>with</em><em> </em><em>3</em><em>]</em>

- <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>

Answer:

Step-by-step explanation:

<h2>
Hello!</h2>
The answer is:
The correct option is:
D. 40 feet.
<h2>
Why?</h2>
To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:

Where,
alpha is the given angle, 34°
Adjacent is the distance from A to B, which is equal to 60 feet.
Opposite is the distance from A to C which is also equal to the width of the river.
So, substituting and calculating we have:


Hence, we have that the correct option is:
D. 40 feet.
Have a nice day!