15 r minus 6 r = 36. What is the value of r?
2 answers:
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Step-by-step explanation:
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- AD = 15 , AB = 8 ,
DAB
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- Height & Area of the given parallelogram
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In right angled triangle ABE :
- Hypotenuse ( h ) = 8
- Perpendicular ( p ) = h [ height ]
= 20°
Now , Using trigonometric ratio :
Plug the known values :
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⟶
⟶
⟶
Now , We have :
- Base ( b ) = 15
- Height ( h ) = 2.72
Finding the area of a parallelogram whose base and height are 15 and 2.72 respectively :
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⟶
⟶
Hence , Our final answer :
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Answer:
(B) compress the graph closer to the x-axis
(E) translate the graph to the left
(F) translate the graph up
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
This graph has been multiplied by 1/4 which is less than 1. It will be compressed.
This graph has x added to by 3. It will shift left 3 units.
This graph has the output outside of x added to by 6. It will shift 6 units up. See picture below. The original function is red. The new function is blue.
9514 1404 393
Answer:
D. a ║ b
Step-by-step explanation:
If we figure the other angle of each linear pair, we can directly compare angles to see if corresponding angles are the same. Where they are the same, the lines are parallel.
Line a is parallel to line b.
