3 years ago

1

Mathematics

1 answer:

8090 [49]3 years ago

8 0

Answer:

positive number

Step-by-step explanation:

because I got it right

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kiruha [24]

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Step-by-step explanation:

By exterior angle theorem:

$(2x + 12) \degree = 112 \degree + 180 \degree - 2x \degree \\ \\ (2x + 12) \degree = 292 \degree - 2x \degree \\ \\ (2x + 12) \degree + 2x \degree = 292 \degree \\ \\ (2x + 12 + 2x) \degree = 292 \degree \\ \\ (4x + 12) \degree = 292 \degree \\ \\ 4x + 12 = 292 \\ \\ 4x = 292 - 12 \\ \\ 4x = 280 \\ \\ x = \frac{280}{4} \\ \\ x = 70$

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Step-by-step explanation:

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What two numbers multiply and get 100 and add and get -29??

butalik [34]

X, y - the numbers

The numbers multiply to 100.
$xy=100$

The numbers add up to -29.
$x+y=-29 \\
y=-x-29$

Substitute -x-29 for y in the first equation:
$x(-x-29)=100 \\
-x^2-29x=100 \\
-x^2-29x-100=0 \\
-x^2-4x-25x-100=0 \\
-x(x+4)-25(x+4)=0 \\
(-x-25)(x+4)=0 \\
-x-25=0 \ \lor \ x+4=0 \\
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y=-x-29 \\
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The numbers are -4 and -25.

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