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tresset_1 [31]
3 years ago
9

Complete the following proof Given: is the midpoint of , is the midpoint of Prove: =2

Mathematics
1 answer:
Vesnalui [34]3 years ago
5 0

Answer:

Step-by-step explanation:

                        Statements                                    Reasons

1). M is the midpoint of segment AB        1). Given

   B is the midpoint of segment MD      

2). AM = MB and MB = BD                        2). Definition of midpoint

3). MD = MB + BD                                      3). Segment Addition Postulate

4). MD = MB + MB                                     4). Substitution property of of Equality

5). MD = 2MB                                            5). Simplify

Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB

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Need Help
grigory [225]
<h3>Answer:  Approximately 191 bees</h3>

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

Work Shown:

One way to express exponential form is to use

y = a*b^x

where 'a' is the initial value and 'b' is linked to the growth rate.

Since we're told 34 bees are there initially, we know a = 34.

Then after 4 days, we have 48 bees. So we can say,

y = a*b^x

y = 34*b^x

48 = 34*b^4

48/34 = b^4

24/17 = b^4

b^4 = 24/17

b = (24/17)^(1/4)

b = 1.090035

Which is approximate.

The function updates to

y = a*b^x

y = 34*(1.090035)^x

------------------------

As a way to check to see if we have the right function, plug in x = 0 and we find:

y = 34*(1.090035)^x

y = 34*(1.090035)^0

y = 34*(1)

y = 34

So there are 34 bees on day 0, ie the starting day.

Plug in x = 4

y = 34*(1.090035)^x

y = 34*(1.090035)^4

y = 34*1.4117629

y = 47.9999386

Due to rounding error we don't land on 48 exactly, but we can round to this value.

We see that after 4 days, there are 48 bees.

So we confirmed the correct exponential function.

------------------------

At this point we can find out how many bees there are expected to be after 20 days.

Plug in x = 20 to get

y = 34*(1.090035)^x

y = 34*(1.090035)^20

y = 190.672374978452

Round to the nearest whole number to get 191.

There are expected to be roughly 191 bees on day 20.

4 0
3 years ago
Can someone pls help me on 4 and 5
never [62]

Answer (4):

a=ub/k because

u=ak/b   (starting equation)

ub=ak    (multiply b to both sides)

a=ub/k   (divide both sides by k)

Answer (6)

x=g+c-y because

g=x-c+y  (starting equation)

x+y=g+c (add c to both sides)

x=g+c-y  (subtract y from both sides)

5 0
3 years ago
PLEASE HELP I GIVE THANKS
Sergio039 [100]
IT IS D!!!! i know because C stands for juice and your buying 2 of them and the 6 stands for the $6 for bagels, hope you get it right!
4 0
3 years ago
A hole is poked in a balloon so that every minute the balloon loses 3/10ft 3 of air. What is the total change in the number of c
GaryK [48]
5/9 minutes

amount lost=times times amout lost per unit of time
amount lost=5/9 times 3/10
amount lost=15/90
amount lost=5/30
amount lost=1/6

answer is 1/6 ft³ of air
6 0
3 years ago
See the question attached. Please help
Lelu [443]

Answer:

1) 36

2) 190

3) 72 units

Step-by-step explanation:

1)  2x4 = 8 units area for rectangle

(4-2) x4 /2 = 4 units

6 x 4 = 24 units

8 + 4 + 24 = 36

2) 3 x 10 / 2 = 15 units

   5 x 10 /2 = 25 units

   15 x 10 = 150 units

   150 + 25 + 15 = 190 units

3) 6 x 3 / 2 = 9 units

   6 x 9 = 54 units

   6 x 3 / 2 = 9 units

9 + 9 + 54 = 18 + 54 = 72 units

3 0
2 years ago
Read 2 more answers
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