<span>Ans: I = P*r*t = 900*0.023*1.5 = $31.50
I hope this help</span>
Answer: ![YX=13.85\ units](https://tex.z-dn.net/?f=YX%3D13.85%5C%20units)
Step-by-step explanation:
<h3>
The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3>
The missing figure is attached.</h3>
Since the figure is a rectangle, you know that:
![WV=YX\\\\YV=XW=24](https://tex.z-dn.net/?f=WV%3DYX%5C%5C%5C%5CYV%3DXW%3D24)
Notice that the segment YV divides the rectangle into two equal Right triangles.
Knowing the above, you can use the following Trigonometric Identity:
![tan\alpha =\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=tan%5Calpha%20%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D)
You can identify that:
![\alpha =30\°\\\\opposite=YX\\\\adjacent=YV=24](https://tex.z-dn.net/?f=%5Calpha%20%3D30%5C%C2%B0%5C%5C%5C%5Copposite%3DYX%5C%5C%5C%5Cadjacent%3DYV%3D24)
Therefore, in order to find the length of the segment YX, you must substitute values into
and then you must solve for YX.
You get that this is:
![tan(30\°)=\frac{YX}{24}\\\\(24)(tan(30\°))=YX\\\\YX=13.85](https://tex.z-dn.net/?f=tan%2830%5C%C2%B0%29%3D%5Cfrac%7BYX%7D%7B24%7D%5C%5C%5C%5C%2824%29%28tan%2830%5C%C2%B0%29%29%3DYX%5C%5C%5C%5CYX%3D13.85)
Question 7
<h3>Answer: A) 15</h3>
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Work Shown:
angle B = angle D = 56
angle C = angle F = 64
The missing angle A adds with B and C to get 180
A+B+C = 180
A = 180-B-C
A = 180-56-64
A = 60
Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.
angle E = angle A
3x+15 = 60
3x = 60-15
3x = 45
x = 45/3
x = 15
Side note: I'm not sure why your teacher marked angle E as the same as angles C and F. They should have used another angle marker to indicate that angles A and E are the same.
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Question 8
<h3>Answer: B) 17</h3>
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Work Shown:
Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.
Therefore, we have these three pairings
- angle A = angle E
- angle B = angle D
- angle C = angle F
We'll first need angle C
A+B+C = 180
C = 180-A-B
C = 180-42-108
C = 30
which we'll then solve for x
angle F = angle C
4x-4 = 30
4x = 30+4
4x = 34
x = 34/4
x = 8.5
which doubles to
2x = 2*8.5
2x = 17