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39 votes
39 votes
Can someone help me with these questions?

Can someone help me with these questions?-example-1
Can someone help me with these questions?-example-1
Can someone help me with these questions?-example-2
User Aaroncarsonart
by
2.3k points

2 Answers

21 votes
21 votes

Answer:

question 1 !

3x+7+90degree+x+7=180degree (sum of straight angle is 180 degree)

3x+x+7+90+7=180degree

4x+104 degree=180degree

4x=180-104

4x=76

x =76/4

x =19

User RichK
by
2.9k points
24 votes
24 votes

Answer:

  • 1) x = 19
  • 2) AB = 10.4, CX = 20.9

=======================

Question 1

Use angle addition postulate, set up equation and solve for x:

  • 3x + 7 + 90 + x + 7 = 180
  • 4x + 104 = 180
  • 4x = 180 - 104
  • 4x = 76
  • x = 76/4
  • x = 19

Question 2

Use segment addition postulate, set up equation and solve for x:

  • AB + BC + CD = AD
  • 2x + 3 + 21 + 7X - 5 = 11x + 11.6
  • 9x + 19 = 11x + 11.6
  • 11x - 9x = 19 - 11.6
  • 2x = 7.4
  • x = 7.4/2
  • x = 3.7

Find AB:

  • 2*3.7 + 3 = 7.4 + 3 = 10.4

Find CX:

  • 7*3.7 - 5 = 25.9 - 5 = 20.9

User Mateusz W
by
2.6k points