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Alex777 [14]
3 years ago
5

Please answer this!! It is due soon!!

Mathematics
1 answer:
ollegr [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Statements                              Reasons

AB // DC                                    Given

AD // BC                                    Given

AC ≅ AC                                   Reflexive property

∠BAC ≅ ∠DCA                         Alternate interior angles

∠ACB ≅ ∠DAC                         Alternate interior angles

ΔCAB  ≅ ΔDAC                        A S A

AD ≅ BC                                   CPCT

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Add (13a + 5b) + (a + 5b - 3)
Anni [7]
<span>(13a + 5b) + (a + 5b - 3)
</span><span>
= 13a + 5b + a + 5b - 3
 
= 14a + 10b - 3 </span>
5 0
3 years ago
If a = 12, b = 30, and c = 22, find the area of triangle ABC to the nearest tenth.
UNO [17]
7900 should be the answer, is there any options?

4 0
3 years ago
You are taking an exam and there are still many questions left to be solved. You already got 18 questions correct out of 25. The
UkoKoshka [18]

The answer is 2

Step-by-step explanation: 100% is the highest score you can have  . then you have to divide 25 by 100 because 25 is the total amount of questions ,you should get 4,wich means each question is worth 4 points.

18 correct is a score of 72

20 correct is a score of 80

4x2=8 wich you need 8 more to get to 80 from 72

feel free to ask for more help :)

8 0
3 years ago
You have $36,948.61 in a brokerage account, and you plan to deposit an additional $3,000 at the end of every future year until y
Luba_88 [7]
Current amount in account
P=36948.61

Future value of this amount after n years at i=11% annual interest
F1=P(1+i)^n
=36948.61(1.11)^n

Future value of $3000 annual deposits after n years at i=11%
F2=A((1+i)^n-1)/i
=3000(1.11^n-1)/0.11

We'd like to have F1+F2=280000, so forming following equation:
F1+F2=280000
=>
36948.61(1.11)^n+3000(1.11^n-1)/0.11=280000

We can solve this by trial and error.


The rule of 72 tells us that money at 11% deposited will double in 72/11=6.5 years, approximately.
The initial amount of 36948.61 will become 4 times as much in 13 years, equal to approximately 147800 by then.
Meanwhile the 3000 a year for 13 years has a total of 39000.  It will only grow about half as fast, namely doubling in about 13 years, or worth 78000.
Future value at 13 years = 147800+78000=225800.
That will take approximately 2 more years, or 225800*1.11^2=278000.

So our first guess is 15 years, and calculate the target amount
=36948.61(1.11)^15+3000(1.11^15-1)/0.11
=280000.01, right on.

So it takes 15.00 years to reach the goal of 280000 years.
8 0
3 years ago
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kirza4 [7]

Answer:

The answer is d and b hope this helps!

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2 years ago
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