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liubo4ka [24]
3 years ago
13

The angle measurements in the diagram are represented by the following expressions.

Mathematics
2 answers:
nataly862011 [7]3 years ago
7 0

Answer:

x=10

A = 84

Step-by-step explanation:

A and B are supplementary angles so they add to 180 degrees

A + B =180

2x+76 + 5x+34 = 180

Combine like terms

7x+ 110 = 180

7x+110-110 = 180-110

7x = 70

Divide by 7

x = 10

Now find A

A = 5x+34

A = 5*10 +34

  = 50+34

A = 84

Drupady [299]3 years ago
6 0

Answer:

x=10

A=84

Step-by-step explanation:

A+B=180

5x+34+2x+76=180

7x+110=180

7x=70

x=10

A=5x+34=5*10+34=50+34=84

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what is the distance between the points (23,-33) and (4,9) if necessary round your answer to two decimal places
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The distance between the points (23,-33) and (4,9) rounded to two decimal places is 46.10.

<h3>What is the distance between the points (23,-33) and (4,9)?</h3>

The distance between two points on a graph can be determined using the equation;

D = √[ ( x₂ - x₁ )² + ( y₂ - y₁ )² ]

Given that;

  • x₁ = 23
  • x₂ = 4
  • y₁ = -33
  • y₂ = 9

We substitute our values into the equation above.

D = √[ ( x₂ - x₁ )² + ( y₂ - y₁ )² ]

D = √[ ( 4 - 23 )² + ( 9 - (-33) )² ]

D = √[ ( -19 )² + ( 42 )² ]

D = √[ 361 + 1764 ]

D = √[ 2125 ]

D = 46.10

Therefore, the distance between the points (23,-33) and (4,9) rounded to two decimal places is 46.10.

Learn more about distance formula here: brainly.com/question/7592016

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