4 years ago

the law of contrapositives states that if a conditional statement is true, then its contrapositive must be ____________.

Mathematics

1 answer:

Gennadij [26K]4 years ago

4 0

Functionally equivalent. Their<span> truth tables are the same.</span>

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The sides of a triangle have lengths of x, x + 5, and 25. If the longest side is 25, which of the following values of x would ma

Amiraneli [1.4K]

In a right angle, the sum of the squares of the two shorter sides is equal to the square of the longest side.
Here, the longest side is 25, the shorter sides are x and x+5.

$x^2+(x+5)^2=25^2 \\
x^2+x^2+10x+25=625 \\
2x^2+10x+25=625 \ \ \ |-625 \\
2x^2+10x-600=0 \ \ \ |\div 2 \\
x^2+5x-300=0 \\
x^2+20x-15x-300=0 \\
x(x+20)-15(x+20)=0 \\
(x-15)(x+20)=0 \\
x-15=0 \ \lor \ x+20=0 \\
x=15 \ \lor \ x=-20
$

The length of a side must be a positive number, so x=15.
The answer is C.

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4 years ago

1÷17.44%×22000000000÷245=x what's y<br><img src="https://tex.z-dn.net/?f=%20%7B%3F%7D%5E%7B2%7D%20" id="TexFormula1" title=" {?}

Likurg_2 [28]

Answer:2,200,000;

Step-by-step explanation:

10% × 22,000,000 =

(10 ÷ 100) × 22,000,000 =

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220,000,000 ÷ 100 =

2,200,000;

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Find -x+10 less than o

Anastaziya [24]

Answer:

10 < x

Step-by-step explanation:

-x+10 <0

Add x to each side

-x+x+10 < 0+x

10 < x

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3 years ago

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Softa [21]

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Continuously

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