How do I solve and whats the answer?

Mathematics

1 answer:

8090 [49]2 years ago

8 0

Answer:

x = -6

Step-by-step explanation:

Here we have an equilateral triangle. All three sides have the same length, 2. Therefore, the interior angles are all equal to 60 degrees.

Therefore, 6 - 9x = 60, and -9x = 54. Dividing both sides by -9 results in

x = -54/9, or x = -6.

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HELP PLSS ANYONE? I'VE TO SUBMIT ASAP

Alenkinab [10]

x =14

Answer:

$m\angle ABC = 51°$

Step-by-step explanation:

11. By inscribed angle theorem:

$83°=\frac{1}{2} \times (9x+40)°\\\\83°\times 2 = (9x+40)°\\166°= (9x+40)°\\166 = 9x + 40\\166 - 40 = 9x\\126 = 9x\\\\x = \frac{126}{9}\\\\\huge \red {\boxed {x = 14}}$

12. Again by inscribed angle theorem:

$(5x+11)°=\frac{1}{2} \times (16x-26)°\\\\2\times (5x+11)°= (16x-26)°\\(10x+22)°= (16x-26)°\\10x + 22 = 16x - 26\\22+26 = 16x - 10x\\48= 6x\\\\x = \frac{48}{6}\\\\\huge \purple{\boxed {x = 8}}\\m\angle ABC = (5x+11)°\\m\angle ABC = (5\times 8+11)°\\m\angle ABC = (40+11)°\\\huge \orange{\boxed {m\angle ABC = 51°}} \\$