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sesenic [268]
2 years ago
9

If m ABC = 130° and DBC = 30°. then mABD = [?]° Enter

Mathematics
2 answers:
jek_recluse [69]2 years ago
7 0

Answer:

100°

Step-by-step explanation:

if the entire angle ABC is 130° and angle DBC is 30° (which is part of angle ABC) you subtract the 30° from the entire angle ABC (130°) to get 100° for angle ABD

Basile [38]2 years ago
4 0

Answer:

100

Step-by-step explanation:

/_ ABC = /_ ABD + /_ DBC

Given: /_ABC = 130 and /_DBC = 30

* plug in known values *

130 = /_ ABD + 30

Subtract both sides by 30

130 - 30 = 100

30 - 30 cancels out

We're left with /_ABD = 100

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A pool has 2 pipes, one to fill and one to empty it. Ms.Charles wants to fill the pool, but she mistakenly turns on both pipes a
dolphi86 [110]

-- The filler pipe can fill 1/6 of the pool every hour.

-- The drainer pipe can drain 1/10 of the pool every hour.

-- When they're filling and draining at the same time, the filler pipe
will win eventually, because it finishes more of the pool in an hour
than what the drain pipe can finish in an hour.

-- When they're filling and draining at the same time, then every hour,
1/6 of the pool fills and 1/10 of it empties.  The difference is   (1/6) - (1/10).

To do that subtraction, we need a common denominator.
The smallest denominator that works is 30.

       1/6  =  5/30

     1/10  =  3/30 .

So in every hour,  5/30 of the pool fills, and  3/30 of the pool empties.
The result of both at the same time is that  2/30 = 1/15  fills each hour.

If nobody notices what's going on and closes the drain pipe, it will take
<em><u>15 hours</u></em> to fill the pool.


If the drain pipe had <em><u>not</u></em> been open, the filler pipe alone could have filled
the pool <em><u>2-1/2 times</u></em> in that same 15 hours.  With both pipes open,
1-1/2 pool's worth of water went straight down the drain during that time,
and it was wasted. 

I would say that the school should take the cost of 1-1/2 poolsworth out
of Ms. Charles' pay at the rate of $5 a week.  I would, but that would
guarantee her more job security than she deserves after pulling a stunt
like that.

I hope this did not take place in California.


6 0
3 years ago
CitiBank recorded the number of customers to use a downtown ATM during the noon hour on 32 consecutive workdays. 39 41 25 17 48
zaharov [31]

Answer:

Mean = 31.22

Midrange = 28.50

Geometric mean = 28.74

Trimmed mean = 31.56

Step-by-step explanation:

Given the data :

39 41 25 17 48 29 31 17 24 36 17 24 40 38 42 11 43 47 27 25 17 23 43 20 32 48 26 26 9 46 44 44

Ordered data :

9, 11, 17, 17, 17, 17, 20, 23, 24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42, 43, 43, 44, 44, 46, 47, 48, 48

The mean, xbar :

Xbar = Σx / n = 999 / 32 = 31.22

The midrange : (maximum - minimum) / 2

Midrange = (48 + 9) / 2 = 57 / 2 = 28.5

Geometric mean :

(x1*x2*.. xn)^1/n

Geometric mean = (x1*x2*.. xn)^1/32 = 28.74

24% trimmed mean :

24% of 32 = 0.24 * 32 = 7.68 ; this mean cutting off 8 values from the top and bottom and calculating the mean of the remaining values.

Data left :

24, 24, 25, 25, 26, 26, 27, 29, 31, 32, 36, 38, 39, 40, 41, 42

Σx / n = 505 / 16 = 31.5625

Trimmed mean = 31.56

7 0
2 years ago
Which of the following are solution to the equation below Check all that apply. <br> (4x-1)^2=11
Juliette [100K]

Answer:

I think it's E and F.  Let me know if I am wrong.

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP..... I WILL GIVE BRAINLIEST!!
Yakvenalex [24]
For the first part:

Every shirt she grabs, will cost her dollars, so if she grabs 3 shirts, then the cost of the shirts is:

12+12+12=3(12)

With the same rationale, if she grabs 2 pairs of jeans, the cost of the jeans is:

19+19=2(19)

So, her total is:

3(12)+2(19)

If you subtract 3 from the total, then the expression is:

3(12)+2(19)-3=36+38-3=71

For the second part:

If she's paying 3 less for each shirt, then the cost of 3 shirts will become:

(12-3)+(12-3)+(12-3)=3(12-3)

In the same fashion, for the two jeans:

(19-3)+(19-3)=2(19-3)

So the expression for the total cost is:

3(12-3)+2(19-3)=36-9+38-6=59

For number three:

The amounts are different because the cost of the total purchase is different than the cost of each element that makes up the total purchase.

For number four:

If you're the owner, you want to give the smallest amount of discount (the one in part 1/a).

So you could clarify by saying there's 3 dollars of the TOTAL purchase's cost.
6 0
3 years ago
Is this correct plz help me
Lina20 [59]

Answer: Yes!


Step-by-step explanation:

You correctly answered!

4 0
3 years ago
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