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olga55 [171]
2 years ago
13

40. What is the value of x? (7x – 8)° (6x +11°) Drawing not to scale

Mathematics
2 answers:
fenix001 [56]2 years ago
5 0

<u>Answer:</u>

  • <u>The value of x is 19.</u>

<u>Step-by-step explanation:</u>

<u>We know that both of these expressions are equal because of vertically opposite angles. Let's solve.</u>

  • => 7x - 8 = 6x + 11
  • => 7x - 6x = 19
  • => x = 19

<u>Hence, the value of x is 19.</u>

Hoped this helped.

BrainiacUser1357

Leni [432]2 years ago
5 0

Answer:

x= 19

Step-by-step explanation:

Recall the Vertical Angles Theorem which states that when two lines intersect, vertical angles are congruent. In this case, 7x-8 and 6x +11 are vertical angles, so they are congruent. We can conclude that an equation can be made to find the value of x where:

7x-8=6x+11

Solve out the equation to find the value of x.

7x-8+8=6x+11+8

7x=6x+19

7x-6x=6x+19-6x

x=19

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