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Anestetic [448]
3 years ago
9

Given the similar triangles, find the value of X.

Mathematics
1 answer:
3241004551 [841]3 years ago
3 0

Answer:

x = 15

Step-by-step explanation:

Since the triangles are similar we can find x using similarity ratio

14/8 = (x+6)/(x-3) simplify first expression

7/4 = (x+6)/(x-3) cross multiply expressions

7×(x-3) = 4×(x+6)

7x-21 = 4x + 24 add like terms

3x = 45

x = 15

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Answer:

-13, -3

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Step-by-step explanation:

x, y are the numbers

x = 5y + 2

x×y = 39

(5y + 2)×y = 39

5y² + 2y - 39 = 0

the solution of a quadratic equation :

y = (-b ± sqrt(b² - 4ac))/2a

a = 5

b = 2

c = -39

y = (-2 ± sqrt(2² - 4×5×-39))/2×5 =

= (-2 ± sqrt(4 + 780))/10 =

= (-2 ± sqrt(784))/10 = (-2 ± 28)/10

y1 = (-2 + 28)/10 = 26/10 = 2.6

y2 = (-2 - 28)/10 = -30/10 = -3

x1 = 5×2.6 + 2 = 13 + 2 = 15

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Julie read 1/2 of a book in the morning, and she read some more at night. By the end of the day, she still had 2/5 of the book l
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Answer:

  1/10

Step-by-step explanation:

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3 years ago
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Myra combined the like terms in the algebraic expression correctly.
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The answer would be the first one, combining 8 and -2

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