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MArishka [77]
3 years ago
6

Can someone pls help?

Mathematics
1 answer:
Sergio [31]3 years ago
5 0
<h3>Answer:  x = 4</h3>

==================================================

Explanation:

Use the remote interior angle theorem. This says a pair of interior angles always add to the measure of the exterior angle that is not adjacent to any of the interior angles, so basically what your diagram is showing.

(interior angle C) + (interior angle D) = exterior angle

(46) + (-1+8x) = 18x+5

8x+45 = 18x+5

8x-18x = 5-45

-10x = -40

x = -40/(-10)

x = 4

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Book-club members are required to buy a minimum number of books each year. Leslee bought 3 times the minimum. Denise bought 7 mo
kkurt [141]

Answer: 4 books

Step-by-step explanation:

x = minimum number of book

Leslee

= 3x (bought 3 times the minimum)

Denise

= x + 7 (bought 7 more than the minimum)

Together

= (3x) + (x + 7)

(3x) + (x + 7) = 23 (books they bought together)

3x + x + 7 = 23

3x + x = 23 - 7 (isolate the like variables together)

4x = 16 (divide both sides by 4)

x = 4

4 is the minimum number of books

To check:

3(4) + (4+7)

12 + 11 = 23

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3 years ago
I need help finding the perimeter
Romashka [77]
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3 years ago
40,-20,10,-5,__,__,__<br> What are the next three numbers.
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Answer:

2.5, -1.25, 0.625

Step-by-step explanation:

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3 years ago
G(x)=-1/3|x| awnser for points, actually awnser not just some random stuff
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Answer:

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Step-by-step explanation:

4 0
3 years ago
When four gallson are added to a tank that is one-third full, the tank is then one-half full. What is the capacity of the tank i
snow_lady [41]

Answer:

24 gallons

Step-by-step explanation:

To answer this question let's call "a" the capacity of the tank in gallons.

Initially it is one third of its capacity, but when 4 gallons are added, it is half full.

This statement can be written as an equation in the following way:

\frac{1}{3}a+4=\frac{1}{2}a\\ (1)

This equation represents the given conditions, therefore solving it we can clear "a" the capacity of the tank in gallons

Solving the equation we have:

\frac{1}{3}a-\frac{1}{2}a =-4\\a (\frac{1}{3}-\frac{1}{2}) = -4\\a (-\frac{1}{6}) = -4\\a (\frac{1}{6}) = 4\\a = 24\\

Therefore the capacity of the tank is 24 gallons.


We can check this result by verifying if it meets the given conditions. The half of 24 is 12. Therefore, if we divide 24 at 3 and then add 4, we should get half the capacity of the tank, that is, 12 gallons.

\frac{24}{3} = 8\\8 + 4 = 12

12 is half the capacity of the tank, then equation (1) is met and the result is checked

7 0
4 years ago
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