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artcher [175]
2 years ago
7

A lifeguard station is 6 meters higher than the shore of a lake. The bottom of the lake is 12 meters below the lake’s shore. On

a number line, let 0 represent the elevation of the lake’s shore, with higher elevations on the positive side of 0. Which number sentence correctly compares the absolute values of the elevation of the lifeguard station and the bottom of the lake? A. |-6| > |12| B. |-6| = |12| C. |6| < |-12| D. |6| > |-12|
Mathematics
1 answer:
sergiy2304 [10]2 years ago
3 0

The answer is C


The absolute value of a number is simply the positive version of that number. So, if a number is already positive the absolute value does nothing, else it switches its sign.


This is easier done than said: we have |6| = 6 and |-12|=12. And since 6, C is correct. Let's see why the others are wrong:


Option A translates to 6>12


Option B translates to 6=12


Option D translates to 6>12

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If A and B are nonzero integers with the same signs is the product negative or postitive
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Remember.

positive number x positive number = positive number
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What is the answer for each sentence
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For f(x) = √x-3 find f(f^-1(4))
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3 0
2 years ago
Find the measure of the exterior angle.
PtichkaEL [24]

Answer:

1) 128°

2) 126°

3) 108°

<h2>Question one:</h2>

   The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.  

38 + 90 + (180-x) = 180

38 + 90 + 180 - x = 180

38 + 90 + 180 - 180 - x = 0

38 + 90 + 180 - 180 = x

128 = x

<h2>Question two:</h2><h2></h2>

again, adding all the interior angles makes 180°. use this to make the equation.

3x + (5x-6) + 90 = 180

3x + 5x - 6 = 90

8x = 96

x = 12.

   x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,

180 - (5x-6) = the answer

180 - 5x + 6 = the answer

substitute x for 12

180 - 60 + 6 = the answer

126 = x

<h2>Question three</h2>

again, adding all the interior angles together makes 180°.

(a + 10) + 44 + (180-2a) = 180

a + 10 + 44 + 180 - 2a = 180

-a + 234 = 180

234 - 180 = a

54 = a

however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.

x = 108

8 0
3 years ago
Gina bought the small plastic boxes below. A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and heigh
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Answer:the answer is The container on the left is made of 2 centimeters squared more plastic.

Step-by-step explanation:

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7 0
3 years ago
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