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I am Lyosha [343]
3 years ago
9

The difference between two positive numbers is 7 and the square of their sum is 225.fin the two numbers.

Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0

Answer:

102 and 109

Step-by-step explanation:

create an equation to solve:

(x-7) + x = 225

2x -7 = 225

<u> +7 +7</u><u> </u><u> </u> add 7 to both sides

<u>2x</u> = <u>218</u>

2 2 divide both sides by 2

x = 109

<u>109 is the first number</u>

then you solve for the other number

x-7= ?

109 - 7 = 102

<u>102 is the 2nd number</u>

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Step-by-step explanation:

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By inscribed angle theorem:

m\angle 1= \frac {1}{2} \times 3x\\\\\therefore m\angle 1= \frac {1}{2} \times 120°\\\\\huge \red {\boxed {\therefore m\angle 1= 60°}}

By tangent secant theorem:

m\angle 2 = \frac {1}{2} \times 3x\\\\\therefore m\angle 2 = \frac {1}{2} \times 120°\\\\\huge \purple {\boxed {\therefore m\angle 2 = 60°}}

Since, measure of central angle is equal to the measure of its corresponding minor arc.

m\angle 3 = 3x\\\\\huge \pink {\boxed {\therefore m\angle 3 = 120°}}

By angle sum Postulate of a triangle:

m\angle 3 + 2 m\angle 4 = 180°\\\\120° + 2 m\angle 4 = 180° \\\\2 m\angle 4 = 180°- 120° \\\\2 m\angle 4 = 60° \\\\m\angle 4 = \frac {60°}{2} \\\\\huge \orange {\boxed {m\angle 4 =30°}}

3 0
3 years ago
The sales tax in your city is 8.8%, and an item costs $63 before tax.
Maru [420]

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Step-by-step explanation:

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Step-by-step explanation:

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