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3 years ago

ABCD are congruent to EFGH, AD=45in, EH=60in, BC=15in, What is FG

Mathematics

1 answer:

Illusion [34]3 years ago

3 0

Answer:

The answer is 25 in.

Step-by-step explanation:

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A number n plus 8 is greater than 11? What is the inequality and the solution?

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Answer:

n+8 > 11

subtract 8 from 11

n>3

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Solve the system of equations by the substitution method. x+4y=6 y=3−x

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Answer:

x = 2, y = 1

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Tell whether the angles are complementary, supplementary or neither m^3=27, m^4=63

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Find the mean (average) of each set of numbers. Round your answer to the nearest tenth 17 , 17 , 11 , 10 , 1 , 20 , 17 , 17

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13.8

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What is the answer? x^2 + 4x - 6 = 0

vodka [1.7K]

First we have to find $\Delta$ from the equation $b^{2} -4ac$ where a, b and c are consecutive coefficients of the equation. In this case: $a=1, b=4, c=-6$

 $\Delta =4^2-4*(-6)=16+24=40$ , 

Later we will need to use $\sqrt{\Delta}$ sofor us $\sqrt{40}$ . It can be then simplified to $2 \sqrt{10}$ .

Then we use quadratic formula $x=\frac{-b\pm \sqrt{\Delta} }{2a}$ to see what are the options for x.

$x=\frac{-4\pm 2\sqrt{10}}{2}$
$x=- 2 \pm \sqrt{10}$

The answer for your question:
 $x=- 2 + \sqrt{10}$ or $x=- 2 - \sqrt{10}$

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