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V125BC [204]
3 years ago
7

If the triangles are congruent, then X=?

Mathematics
1 answer:
steposvetlana [31]3 years ago
7 0

Answer:

Hi there!

The correct answer to this question is: x=3

Step-by-step explanation:

because these two triangles are similar, that means the hypotenuse are similar. which means you can set the sides equal to each other like this:

13 = 4x + 1   minus one on both sides and you should get 4x = 12 and then divide 4 on both sides and you should finally get x = 3

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The cost, C. of producing coolers, x, is modeled by the equation C = 0.005x2 - 0.3x + 17. How many coolers are
melamori03 [73]

Answer:

66 coolers

Step-by-step explanation:

C = 0.005x² - 0.3x + 17

When C = $19

19 = 0.005x² - 0.3x + 17

19 - 17 = 0.005x² - 0.3x

2 = 0.005x² - 0.3x

0.005x² - 0.3x - 2 = 0

x = -b ± √b² - 4ac / 2a

= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005

= 0.3 ± √ 0.09 - (-0.04) / 0.01

= 0.3 ± √ 0.09 + 0.04 / 0.01

= 0.3 ± √ 0.13 / 0.01

= 0.3/0.01 ± √0.13/0.01

= 30 ± 0.36/0.01

x = 30 ± 36

x = 30 + 36 or 30 - 36

x = 66 or -6

Number of coolers can not be negative

Therefore, number of coolers produced when the cost is $19

is 66 coolers

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3 years ago
George found that he blinked 85 times in 15 minutes. At this rate, how many seconds passed during 51 blinks?
Juliette [100K]
540 seconds which is equal to 9 minutes.
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3 years ago
Which two integers is √65 between?
goblinko [34]
The answer to this math problem is the multiple is 1 5 13
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3 years ago
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2. Which equation is equivalent to 2 + 4x = 5 - 3(x + 1)? A. 2 + 4x = 2x - 3 B. 2 + 4% = 5 - 3 -3. C. 6x = 5-(+ 1). D. 2 + 4 = 2
Andre45 [30]

Answer:

B) 2 + 4x = 5 - 3 - 3x

Step-by-step explanation:

By simplifying JUST the right side and re-arranging them

2 + 4x = 5 - 3(x + 1),

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2 + 4x = 5 -3 - 3x

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3 years ago
If all of the diagonals are drawn from a vertex of an octagon, how many triangles are formed?
Lynna [10]
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3 years ago
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