3 years ago

Solve 2 2/5 - 1 1/2 .

Mathematics

1 answer:

vova2212 [387]3 years ago

4 0

Answer:

9/10

Step-by-step explanation:

2 2/5 - 1 1/2

Get a common denominator of 10

2 2/5 *2/2 = 2 4/10

1 1/2 *5/5 = 1 5/10

2 4/10 - 1 5/10

Borrow from the 2 as 10/10

1 + 10/10 +4/10 - 1 5/10

1 14/10 - 1 5/10

9/10

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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:

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