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natulia [17]
2 years ago
7

Find the value of x that makes line m parallel to line n.​

Mathematics
1 answer:
evablogger [386]2 years ago
4 0

Answer: <em>x</em> = 20

Step-by-step explanation:

   If line <em>m</em> is parallel to line <em>n</em>, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).

  This means we will set them equal to each other and solve for <em>x</em>.

Given:

(4<em>x</em> - 23) = (2<em>x</em> + 17)

Add 23 to both sides of the equation:

4<em>x</em> = 2<em>x</em> + 40

Subtract 2<em>x</em> from both sides of the equation:

2<em>x</em> = 40

Divide both sides of the equation by 2:

<em>x</em> = 20

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grin007 [14]

8 + |5x - 3| > 10

<span>|5x - 3| > 2</span>

<span>|5x| > 5</span>

<span>[x] > 1</span>

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<span>|5x-3| < -2</span>

<span>|5x| < 1</span>

<span>|x| < \frac{1}{5}</span>

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1 > x <  \frac{1}{5}

7 0
3 years ago
Read 2 more answers
Gloria had two sets of alphabet cards (A–Z). She mixed the two sets together to form a single stack of cards. Then Gloria drew t
grin007 [14]
She has 52 card all together so she has a probability of drawing on the first draw 4 L's or R's because their are two sets of alphabet cards.  So that is 4/52 or 1/13 to the lowest term.  Second turn she only has 51 cards to draw from and still has 4 L's and R's so that would be 4/51 and on the third try she has only 50 cards left so that would be 4/50 or 2/25 to the lowest term.  Now multiply all three factions 1/13 x 4/51 x 2/25 = 8/16575 meaning out of the three draws she has a probability of getting a L or R, 8 out of 16575 each draw.
3 0
3 years ago
Jarvis invested some money at 6% interest. Jarvis also invested $58 more than 3 times that amount at 9%. How much is invested at
DerKrebs [107]

9514 1404 393

Answer:

  • $3309 at 6%
  • $9985 at 9%

Step-by-step explanation:

Let x and y represent amounts invested at 6% and 9%, respectively.

  y = 3x +58 . . . . . . . the amount invested at 9%

  0.06x +0.09y = 1097.19 . . . . . . total interest earned

__

Substituting for y, we have ...

  0.06x +0.09(3x +58) = 1097.19

  0.33x + 5.22 = 1097.19 . . . . . . . . . simplify

  0.33x = 1091.97 . . . . . . . . . . . . subtract 5.22

  x = 3309 . . . . . . . . . . . . . . . . divide by 0.33

  y = 3(3309) +58 = 9985

$3309 is invested at 6%; $9985 is invested at 9%.

8 0
3 years ago
PLEASE HELP IM STUCK ON A PROBLEM....
sleet_krkn [62]

Answer:

Number line A.

Step-by-step explanation:

|-5x| - 11 = -1

Add 11 to both sides.

|-5x| = 10

-5x = 10 or -5x = -10

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Answer: Number line A.

5 0
3 years ago
Enter an inequality that represents the phrase "the sum of 7 and y is less than 9."
Eddi Din [679]

Answer:

Inequality Form:

y<2

Interval Notation:

(−∞,2)

The answer your looking for is: y<2

7 0
3 years ago
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