Hiii i have a question on math:)

Mathematics

1 answer:

vlabodo [156]3 years ago

4 0

Answer:

PQR = 150°

Step-by-step explanation:

Hi there !

PQR = PQS + SQR

12x - 6 = 16 + 9x + 17

12x - 9x = 16 + 17 + 6

3x = 39

x = 13

PQR = (12×13 - 6)° = (156 - 6)° = 150°

Good luck !

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If the sum of the legs of a right triangle is 49 inches and the hypotenuse is 41 inches, find the length of the other two sides

german

The length of one leg is x inches.
The sum of the legs is 49 inches, so the length of the other leg is 49-x inches.
The length of the hypotenuse is 41 inches.

Use the Pythagorean theorem:
$(\hbox{one leg})^2 + (\hbox{the other leg})^2=(\hbox{hypotenuse})^2 \\ x^2+(49-x)^2=41^2 \\
x^2+2401-98x+x^2=1681 \\
2x^2-98x+2401=1681 \ \ \ |-1681 \\
2x^2-98x+720=0 \\ \\
a=2 \\ b=-98 \\ c=720 \\ b^2-4ac=(-98)^2-4 \times 2 \times 720=9604-5760=3844 \\ \\
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x=\frac{98-62}{4} \ \lor \ x=\frac{98+62}{4} \\
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49-x=49-9 \ \lor \ 49-x=49-40 \\
49-x=40 \ \lor \ 49-x=9$

The lengths of the legs are 9 inches and 40 inches.

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Answer:

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Step-by-step explanation:

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