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raketka [301]
3 years ago
10

Find the value of \mathrm{x}xin the following figure.

Mathematics
1 answer:
Hoochie [10]3 years ago
3 0

Step-by-step explanation:

step 1. I guess we assumed the two lines across the transversal are parallel

step 2. 3x + 1 = 85 (definition of alternate exterior angles)

step 3. 3x = 84 (subtract 1 from each side)

step 4. x = 28. (divide both sides by 3)

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Factor the expression using the GCF.<br><br> 18h+30k<br><br> The factored form is <br> .
Murljashka [212]

Answer:

6(3h+5k)

Step-by-step explanation:

18h+30k

Factors of 18:

1, 2, 3, 6, 9, 18

Factors of 30:

1, 2, 3, 5, 6, 10, 15, 30

GCF of 18 and 30: 6

18h+30k = 6(3h+5k)

Check your answer:

6(3h+5k)

6(3h) + 6(5k)

18h + 30k

Hope this helps!

7 0
2 years ago
Solve and graph the absolute value inequality: |2x + 4| &gt; 14.
Aloiza [94]

Answer:

"number line with open circles on negative 9 and 5, shading going in the opposite directions."

Step-by-step explanation:

Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.

|u|>14 means that the number u has to be greater than 14 or less than -14.  These numbers I describe just now all have a distance greater than 14 from 0.

So |u|>14 implies u>14 or u<-14.

But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.

2x+4>14

Subtract 4 on both sides:

2x    >10

Divide both sides by 2:

x      >5

2x+4<-14

Subtract 4 on both sides:

2x    <-18

Divide both sides by 2:

x      <-9

So our solution is x>5 or x<-9.

Graphing!

~~~~~~~O                                         O~~~~~~~~

-----------(-9)---------------------------------(5)---------------

So we shaded to the right of 5 because our inequality says x is bigger than 5.

We shaded to the left of -9 because our inequality says x is less than -9.

4 0
3 years ago
Give a possible formula for the function below. Let A = (-1, 32) and B = (1, 8). (Note: Use the general exponential function.)
skelet666 [1.2K]
The question ask to find and compute the possible formula for the function below where as A = (-1,32) and B= (1,8).  In my own calculation and further computation about the problem and also following the rule of general exponential function, the formula would be y = a*(b^x). I hope this would help 
8 0
3 years ago
Read 2 more answers
Simplify 1/3(1/2-1/3)-1/3(1/3-1/2)​
zhuklara [117]

Answer:

im pretty sure its 1/9

Step-by-step explanation:

1/3 x 1/6-1/3 x (-1/6)

1/18 + 1/18

5 0
3 years ago
Nancy and bill collect coins. Nancy has x coins. Bill has 6 coins fewer than times the number of coins nancy has. Write and simp
tino4ka555 [31]

Answer:

Total number of coins Nancy and bill have = 6x - 5

Step-by-step explanation:

Nancy and bill collect coins. Nancy has x coins. Bill has 5 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and bill have . Simplify your answer .

Let

Number of Nancy's coins = x

Number of Bill's coins = 5x - 5

Total number of coins Nancy and bill have = Number of Nancy's coins + Number of Bill's coins

= x + (5x - 5)

= x + 5x - 5

= 6x - 5

Total number of coins Nancy and bill have = 6x - 5

6 0
3 years ago
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