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sasho [114]
2 years ago
7

Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7

Mathematics
2 answers:
aleksklad [387]2 years ago
8 0

congruent angles are of similar measures

congruent angles that are congruent to ∠7:

  • ∠6       ( vertically opposite angles )
  • ∠3        ( corresponding angles )
  • ∠2         ( alternate interior angles )
miv72 [106K]2 years ago
4 0

See how

  • <7+<5 are linear pairs
  • <5+<3 are also linear pairs

From both

  • <7 and <3 are equal(Corresponding angles)

Similarly

  • <7 nd <6 are equal (Opposite angles)

And

<6 and <2 are corresponding and equal so

  • <7 and <2 are equal
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Solve the equation. Check for extraneous solutions. <br> 2|7−7x|=2x+4
Vesna [10]

2|7 − 7x| = 2x + 4

|7 - 7x| = x + 2

7 - 7x = x + 2   or   7 - 7x = -(x + 2)

-8x = -5   or   7 - 7x = -x - 2

x = 5/8   or -6x = -9

x = 5/8   or   x = 9/6

x = 5/8   or   x = 3/2

To check for extraneous solutions, we check both solutions in the original equation.

<em>Check solution 5/8:</em>

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 5/8| = 5/8 + 2

|56/8 - 35/8| = 5/8 + 16/8

21/8 = 21/8

<u>Solution x = 5/8 works.</u>

<em>Check solution 3/2:</em>

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 3/2| = 3/2 + 2

|14/2 - 21/2| = 3/2 + 4/2

|-7/2| = 7/2

7/2 = 7/2

<u>Solution 3/2 also works.</u>

Answer: x = 5/8 or x = 3/2

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2 years ago
MATH PLEASE HELP 18pts!!
IrinaK [193]
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3 years ago
Julius is studying populations of robins in the local area. He counts 12
AleksAgata [21]
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Solve for x<br> 3.24x + 8.37x -8.09=7.83<br> X= <br> Round your answer to the nearest hundredth
amm1812

3.24x + 8.37x -8.09=7.83

adding 3.24 x and 8.37x on the right side:

3.24x + 8.37x -8.09=7.83

11.61x -8.09=7.83

adding 8.09 to both sides:

11.61x =7.83+8.09

11.61x =7.83+8.09

11.61x =15.92

dividing both sides by 11.61

Answer : x=1.37

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