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masha68 [24]
3 years ago
7

Lara constructed angle POQ and then used a compass and straightedge to accurately construct line segment OS, as shown in the fig

ure below:
An angle POQ is drawn. Two similar arcs intersect OP and OQ. Two more similar arcs intersect each other at a point S and a dashed line is drawn from O to S, such that OS bisects angle POQ

Which could be the measures of angle POS and angle POQ?

Measure of angle POS is 35 degrees, measure of angle POQ is 65 degrees
Measure of angle POS is 40 degrees, measure of angle POQ is 70 degrees
Measure of angle POS is 45 degrees, measure of angle POQ is 75 degrees
Measure of angle POS is 30 degrees, measure of angle POQ is 60 degrees
Mathematics
2 answers:
Neporo4naja [7]3 years ago
6 0

Answer:

Measure of angle POS is 30 degrees, measure of angle POQ is 60 degrees.

Step-by-step explanation:

Anton [14]3 years ago
4 0
Measure of angle POQ is 60 degrees
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( – 1, – 5) 7x+2y=13, 4x+4y=14
serious [3.7K]

Answer:

{x,y} = {6/5,23/10}

Step-by-step explanation:

 [1]    7x + 2y = 13

  [2]    4x + 4y = 14  <---------- linear equations given

Graphic Representation of the Equations : PICTURE
2y + 7x = 13        4y + 4x = 14  

Solve by Substitution :

// Solve equation [2] for the variable  y

[2]    4y = -4x + 14

[2]    y = -x + 7/2

// Plug this in for variable  y  in equation [1]

  [1]    7x + 2•(-x +7/2) = 13

  [1]    5x = 6

// Solve equation [1] for the variable  x

  [1]    5x = 6

  [1]    x = 6/5

// By now we know this much :

   x = 6/5

   y = -x+7/2

// Use the  x  value to solve for  y

   y = -(6/5)+7/2 = 23/10

// Plug this in for variable  y  in equation [1]

 [1]    7x + 2•(-x +7/2) = 13

  [1]    5x = 6

// Solve equation [1] for the variable  x

 [1]    5x = 6

[1]    x = 6/5

// By now we know this much :

   x = 6/5

   y = -x+7/2

// Use the  x  value to solve for  y

  y = -(6/5)+7/2 = 23/10

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The percent decrease of an item that dropped in price from $50 to $43 is​
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Answer:

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Step-by-step explanation:

The item dropped from $50 to $43 .

Therefore,

Decrease = $50 - $43

= $7

To get the % decrease, divide the decrease by the initial price and multiply the result by 100%

That’s

$7/$50 x 100%

$0.14 x 100%

= 14%

The price of the item decreased by 14%

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