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3 years ago

Solve similar triangles solve for x can someone answer please help

Mathematics

1 answer:

zlopas [31]3 years ago

8 0

Answer:

Step-by-step explanation:

ΔABC & ΔADE are similar triangles

$\frac{AD}{AB}=\frac{DE}{BC}\\\\\frac{12}{4}=\frac{12}{x}\\$

Cross multiply,

12*x = 12*4

$x=12*\frac{4}{12}\\$

x = 1 * 4

x = 4

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What integer is the closest to 731

guajiro [1.7K]

Answer:

731 is an integer. An Integer is a whole number!

Step-by-step explanation:

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3 years ago

A textbook is opened and the product of the page numbers of the pages is 6162. What are the numbers of the pages?

ss7ja [257]

Answer:

The two page numbers are 78 and 79.

Step-by-step explanation:

Let's take the page numbers are x and x + 1 .

The produce of the page numbers is 6162

so, x(x + 1) = 6162

$x^{2} + x -6162 = 0$

Here we have to use the quadratic formula to solve for x.

The quadratic formula, x = $\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}$

Here a =1, b = 1 and c = -6162

Plugging in the value of a, b and c in the above formula, we get

x = [-1 ± 157] ÷ 2

Let's take the positive value alone since the page number cannot be negative.

x = [-1 + 157] ÷2

x = 78

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3 years ago

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3 years ago

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What shape do degree 3 functions have?

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Find the next 3 terms in the geometric sequence -36, 6, -1, 1/6, ...

timama [110]

we are given

geometric sequence -36, 6, -1, 1/6, ...

first term is -36

$a_1=-36$

now, we can find common ratio

$r=\frac{6}{-36}$

$r=-\frac{1}{6}$

now, we can find nth term

$a_n=a_1(r)^{n-1}$

now, we can plug values

and we get

$a_n=36(-\frac{1}{6})^{n-1}$

now, we can find 5th term , 6th term, 7th term

fifth term:

$a_5=36(-\frac{1}{6})^{4}$

$a_5=\frac{1}{36}$

sixth term:

$a_6=36(-\frac{1}{6})^{5}$

$a_6=-\frac{1}{216}$

seventh term:

$a_7=36(-\frac{1}{6})^{6}$

$a_7=\frac{1}{1296}$

so, next terms are

$a_5=\frac{1}{36}$ , $a_6=-\frac{1}{216}$

, $a_7=\frac{1}{1296}$ .............Answer

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3 years ago