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Ray Of Light [21]
3 years ago
15

NEED HELP!! PLEASE!

Mathematics
1 answer:
AveGali [126]3 years ago
7 0

Answer: Proof

Step-by-step explanation: First, draw an auxiliary line from one angle to the angle opposite of it.  (Make a diagonal of the parallelogram) Afterwards, the parallelogram will be split into two triangles. You can prove those 2 triangles congruent using alternate interior angles and then the ASA Postulate. After that because corresponding parts of congruent triangles are congruent, you know that A parallelogram's opposite sides are congruent. Hope that makes sense. All you'll have to do is put that into 2 column form


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Convert the following repeating decimal to a fraction in simplest form .31 with the 1 repeating
bekas [8.4K]

Answer:

14/45

Step-by-step explanation:

So we have the fraction:

0.3\bar1=0.31111...

We can do this algebraically. Follow to following steps:

Let's let this number equal to n. Thus:

0.31111...=n

Since there is only 1 digit repeating, let's multiply everything by 10. So:

3.1111...=10n

Now, subtract n from both sides:

3.1111-n=10n-n

On the left, substitute the number for n. On the right, combine like terms:

3.1111...-0.31111...=9n

All of the 1s will cancel. So:

3.1-0.3=9n

Subtract:

2.8=9n

Divide both sides by 9:

n=2.8/9

Remove the decimal by multiplying both sides by 10:

n=28/90

Reduce:

n=14/45

And we're done!

Use a calculator to check:

14/45\stackrel{\checkmark}{=}0.31111...

7 0
3 years ago
Is -3.4 closer to -2 or -4? I need to round it to find the answer, but I don't know which way.
MA_775_DIABLO [31]

Answer:

-4

Step-by-step explanation:

its closer to -4

6 0
3 years ago
The area of a circle is 706.9 square inches. Find the radius
antoniya [11.8K]

Answer:

15 inches

Step-by-step explanation:

The area of a circle is pi r^2. We basically have to work backwards. I divided it fist by 3.14 which is the value of pi. I got 225.127, but I rounded it to 225. I found the square root of this which is 15. If we check the work. 15^2 is 225, and 225 times pi is 706.9.  

4 0
3 years ago
Find the value of (-17)-(40)+25
erica [24]

Answer:

-17-40+25

=25-57

= -32

4 0
3 years ago
Find the missing segment.
Bond [772]

Answer:

? = 7.

Step-by-step explanation:

The two triangles are similar because of the AA Theorem.

The larger triangle's side that is equal to 9 + 3 corresponds to the smaller triangle's side length of 9, while the larger triangle's 21 + ? side corresponds to the smaller triangle's 21 side. Now, we can set up a proportion!

\frac{9}{9+3} =\frac{21}{21 + ?}

\frac{9}{12} =\frac{21}{? + 21}

\frac{3}{4} =\frac{21}{? + 21}

\frac{1}{4} =\frac{7}{? + 21}

? + 21 = 7 * 4

? + 21 = 28

? = 28 - 21

? = 7

Hope this helps!

3 0
4 years ago
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