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fiasKO [112]
4 years ago
10

I’m confused on this one

Mathematics
1 answer:
Naddika [18.5K]4 years ago
7 0

Since ABCD is a rectangle, AB and CD are parallel sides. This means that you can set AB equal to CD to solve for x. It would be:

1/2x+6=5/2x-2.

6=4/2x-2

8=2x

4=x

So the answer would be e. 4.

Hope this helps!

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Are the graphs of the lines in the pair parallel? Explain.
jonny [76]
You need to convert the second equation to slope/intercept form. The first equation is in that form already. Then you can compare  slopes.

-6x + 8y = 14
8y = 6x + 14
y = (3/4)x + 14/8

SO THE SLOPE IS 3/4 which is the same as slope of equation 1

Therfore they are parallel.
7 0
3 years ago
What is 6/a-6 = 3/a-3 ?<br> help me please
Alenkasestr [34]

Answer:

a=1

Step-by-step explanation:

Multiply all terms by a and cancel:

6+−6a=3+−3a

−6a+6=−3a+3(Simplify both sides of the equation)

−6a+6+3a=−3a+3+3a(Add 3a to both sides)

−3a+6=3

−3a+6−6=3−6(Subtract 6 from both sides)

−3a=−3

−3a

−3

=

−3

−3

(Divide both sides by -3)

a=1

3 0
3 years ago
Read 2 more answers
Consider these three numbers expressed in scientific notation: 2.4 × 10^4, 6.3 × 10^5, and 9.6 × 10^7. Which number is the great
pishuonlain [190]
Greatest = 9.6<span> × 10^7


Smallest = </span><span>2.4 × 10^4


G/S = </span><span>9.6<span> × 10^7 / </span>2.4 × 10^4 = 4000</span>

3 0
3 years ago
What is the solution to the equation 1/4x+2=-5/8x-5<br> O X=-8<br> O x=-7<br> O X= 7<br> O X=8
Dovator [93]

Answer:

x = -8

Step-by-step explanation:

1/4x+2=-5/8x-5

Add 5/8 x to each side

1/4x + 5/8 x+2=-5/8x + 5/8x-5

1/4x + 5/8x +2 = -5

Subtract 2 from each side

1/4x + 5/8x +2-2 = -5-2

1/4x + 5/8x  = -7

Get a common denominator of 8

1/4 *2/2 x + 5/8x = -7

2/8x + 5/8x = -7

7/8x = -7

Multiply each side by 8/7

8/7 * 7/8x = -7*8/7

x = -8

5 0
4 years ago
Jesse has put together 15 pieces of a 24 piece puzzle.As a fraction in simplest form, how much of the puzzle remains to be compl
guajiro [1.7K]

Answer:

5/8

Step-by-step explanation:

15 divided by 3 equal 5

24 divided by 3 equal 8

Therefore, 15/24 simplified to lowest terms is 5/8.

6 0
3 years ago
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