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son4ous [18]
2 years ago
15

If D is the center of the circle below and AC measures 48, what is the measure of ABC

Mathematics
1 answer:
dimulka [17.4K]2 years ago
4 0

Answer:

24

Step-by-step explanation:

How do we know that a circle must complete up to 180, then we have to:

180 - 48 = 132

Now knowing this distance we can also know the other, starting from the same concept, in addition to what the circle below is like, a semicircle refers to so we divide by 2:

(180-132) / 2 = 24

Therefore the answer is 24.

We can also do it ABC is half of ADC. So ABC = 48/2 = 24

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In the library at lenape elmentary school, there are 3/8 as, many fiction books as there are nonfiction books. There are 44 book
N76 [4]

Answer:

12 fiction books.

Step-by-step explanation:

Let b represent number of non-fiction books.

We have been given that in the library at Lenape elementary school, there are 3/8 as many fiction books as there are nonfiction books. So number of fiction books would be \frac{3}{8}x.

We are also told that there are 44 books in school library. We can represent this information in an equation as:

x+\frac{3}{8}x=44

Let us solve for x.

\frac{8x}{8}+\frac{3}{8}x=44

\frac{8x+3x}{8}=44

\frac{11x}{8}=44

\frac{11x}{8}\cdot \frac{8}{11}=44\cdot\frac{8}{11}

x=4\cdot 8

x=32

Therefore, there are 32 non fiction books in the library.

Number of fiction books would be \frac{3}{8}x\Rightarrow \frac{3}{8}*32=3*4=12

Therefore, there are 12 fiction books in the library.

5 0
2 years ago
2m-1-5m+4 what is the answer?
KiRa [710]
2m-1-5m+4 

(2m-5m)-1+4

 
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-3m-1+4 

-3m+3

8 0
3 years ago
Complete the table of values for
ankoles [38]

Answer:

can't see the pic properly

5 0
2 years ago
Nancy had 16 chocolate candies in a bag. Her mother put a handful of candies in the bag. When Nancy counts her chocolate candies
Reika [66]

Answer:

she had 16

16

She got c

16 + c

She now has 32

16 + c = 32

I don't know if that's the exact answer, but basically, 16 needs to be added to c, and it needs to equal 32.  

Hope this helps! :)

8 0
3 years ago
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A bug lands on a windshield wiper blade before it is flung off. The wiper blade and arm assembly have a length of 30 inches. If
sveticcg [70]

Answer:

35.6047 inches

Step-by-step explanation:

The wiper blade moves in a circular way, where the radius is 30 inches.

To find how far the bug travelled, we just need to use a rule of three, where the length of the circunference relates to a angle of 360 degrees:

360 degrees -> 2 * pi * radius

68 degrees -> distance

distance * 360 = 2 * pi * radius * 68

distance = 2 * pi * 30 * 68 / 360 = 35.6047 inches

6 0
3 years ago
Read 2 more answers
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