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4 years ago

When 1600 is increased by 20% and the resulting number is decreased by y% the answer is 1536. Find the value of y?

1 answer:

7 0

100% = 1600
120% = 1920

1920/120 = 1536/y
1920y = <span>184320 (cross multiply)
y = 96%
decrease of 24% from 1920</span>

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Help please!!!! i dont know how to do this

IRINA_888 [86]

All the angles created by the transversal intersecting through a pair of parallel lines have got many names and connections with each other, like Alternate Angles, Corresponding angles, consecutive interior angles etc.

As per the question statement, We are given a pair of parallel lines which is cut by a transversal. We are supposed to mark the following angles.

Alternate Interior Angles, Alternate Exterior Angles, Corresponding Angles and Consecutive Interior Angles.

Here is an attached image of the same with angles marked on it.

Alternate Interior Angles: ∠ $3$ = ∠ $5$ and ∠ $4$ =∠ $6$

Alternate Exterior Angles: ∠ $2$ =∠ $8$ and ∠ $1$ =∠ $7$

Corresponding Angles: ∠ $1$ =∠ $5$ , ∠ $4$ =∠ $8$ , ∠ $3$ =∠ $7$ and ∠ $2$ =∠ $6$

Consecutive Interior Angles: ∠ $4$ =∠ $5$ and ∠ $3$ =∠ $6$

Parallel Lines: Parallel lines are those straight lines that are, no matter how far they are extended, always the same distance apart from one another.
Transversal Line: In geometry, a transversal line intersects two lines in the same plane at two different locations.

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1 year ago

Find the coordinates of P so that P partitions AB in the ratio 3:4 with A(-9,-9) and B(5,-2).

ivolga24 [154]

The coordinates of point P are (-3 , -6)

Step-by-step explanation:

If point (x , y) partitions line AB where A = $(x_{1},y_{1})$ and B = $(x_{2},y_{2})$

at a ratio $m_{1}:m_{2}$ from A then:

1. $x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$

2. $y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

∵ P partitions AB in the ratio 3 : 4

∴ $m_{1}:m_{2}$ = 3 : 4

∵ A = (-9 , -9) and B = (5 , -2)

- Substitute the coordinates of points A and B in the rules above

∵ $x=\frac{(-9)(4)+(5)(3)}{3+4}$

∴ $x=\frac{-36+15}{7}$

∴ $x=\frac{-21}{7}$

∴ x = -3

The x-coordinate of P is -3

∵ $y=\frac{(-9)(4)+(-2)(3)}{3+4}$

∴ $y=\frac{-36+(-6)}{7}$

∴ $y=\frac{-42}{7}$

∴ y = -6

The y-coordinate of P is -6

The coordinates of point P are (-3 , -6)

Learn more:

You can learn more about the mid-point of a segment in brainly.com/question/5223123

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4 years ago

Which phrase best describes the translation from the graph y = 6x2 to the graph of y = 6(x + 1)2?

solmaris [256]

The statement which best describes the translation from the graph y= 6x² to the graph of y = 6(x+1)² is; The translation represents a unit shift rightward.

<h3>Which phrase best describes the translation from the graph?</h3>

The translation involved in the transformation of the graph as given in the task content represents a rightward shift of the graph y = 6x² by 1 unit.

On this note, it follows that the translation involved between the two graphs is; a unit shift to the right.

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2 years ago

I need feedback on this problem.

serious [3.7K]

Answer:

Step-by-step explanation:

Thats how the answer is none of the others make sense

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