
mathlove 16/03/2017 at 19:06
We have \(AB=AM+BM=10+6=16;BC=BN+CN=6+x;CA=CP+AP=x+10\).
The triangle ABC has his edges \(a=10+6=16;b=6+x;c=x+10\) . Call \(p\) is the halp perimeter of \(ABC\) then \(pa=10,pb=6,pc=x\) and the area of ABC is
\(\sqrt{p\left(pa\right)\left(pb\right)\left(pc\right)}=\sqrt{60x\left(16+x\right)}\) .
By the assumptions we have \(60x\left(x+16\right)=\left(120\sqrt{3}\right)^2\Leftrightarrow x^2+16x720=0\Leftrightarrow x\in\left\{20;36\right\}\).
So, \(x=20;p=36\), the perimeter of ABC is 72.
Suppose CH is the height of CAB, then \(CH=\dfrac{2.120\sqrt{3}}{16}=15.\) The triangle CHA has
\(CHA=90^0;CH=15;CA=30\Rightarrow A=60^0\).
The measure of angle A is \(60^0\) .
Selected by MathYouLike 
FA KAKALOTS 03/02/2018 at 12:37
We have AB=AM+BM=10+6=16;BC=BN+CN=6+x;CA=CP+AP=x+10
.
The triangle ABC has his edges a=10+6=16;b=6+x;c=x+10
. Call p is the halp perimeter of ABC then p−a=10,p−b=6,p−c=x
and the area of ABC is
√p(p−a)(p−b)(p−c)=√60x(16+x)
.
By the assumptions we have 60x(x+16)=(120√3)2⇔x2+16x−720=0⇔x∈{20;−36}
.
So, x=20;p=36
, the perimeter of ABC is 72.
Suppose CH is the height of CAB, then CH=2.120√316=15.
The triangle CHA has
CHA=900;CH=15;CA=30⇒A=600
.
The measure of angle A is 600
.

FA KAKALOTS 09/02/2018 at 21:34
We have :
\(=\dfrac{x+2}{89}+1+\dfrac{x+5}{86}+1>\dfrac{x+8}{83}+1+\dfrac{x+11}{80}+1\)
\(=\dfrac{x+91}{89}+\dfrac{x+91}{86}>\dfrac{x+91}{83}+\dfrac{x+91}{80}\)
\(=\dfrac{x+91}{89}+\dfrac{x+91}{86}\dfrac{x+91}{83}\dfrac{x+91}{80}>0\)
\(=\left(x+91\right)\left(\dfrac{1}{89}+\dfrac{1}{86}\dfrac{1}{83}\dfrac{1}{80}\right)>0\)
To \(\dfrac{1}{89}+\dfrac{1}{86}\dfrac{1}{83}\dfrac{1}{80}\) different 0
\(=x+91>0\)\(=x< 91\)
HỦY DIỆT THE WORLD selected this answer. 
Fc Alan Walker 10/02/2018 at 14:16
e have :
=x+289+1+x+586+1>x+883+1+x+1180+1
=x+9189+x+9186>x+9183+x+9180
=x+9189+x+9186−x+9183−x+9180>0
=(x+91)(189+186−183−180)>0
To 189+186−183−180
different 0
=x+91>0=x<−91

Nguyễn Thị Thu Thủy 17/05/2017 at 12:17
The amount of money she spends in all is:
18.03 + 19.94 = 37.97 (dollars)

Nguyễn Phương Linh 24/03/2017 at 21:52
The amount of money she spends in all is:
18.03 + 19.94 = 37.97 (dollars)

Kudo Shinichi 22/03/2017 at 22:10
She spent in all : 18,03 + 19,94 = 37.97 ( dollars )
......
mình nha

An Duong 17/04/2017 at 08:26
The messenger reaches the second army after : 10/(9 +1) = 1 hour.
At the time of the messenger leaving the second army, the distance between him and the first army is: 10  2.1 = 8 miles.
The messenger meets the first army after 8/(9 + 1) = 0.8 hours more.
When the messenger gets back to the first army, two armies take 1 + 0.8 = 1.8 hours.
And the distance between two armies is : 10  (1 + 1) 1.8 = 6.4 miles.

Ngu Ngu Ngu 13/04/2017 at 22:23
\(x\div3\div2=9\)
\(\Rightarrow x=9.3.2\)
\(\Rightarrow x=54\)
Vậy \(x=54\) thì thỏa mãn

Trần Quỳnh Anh 28/12/2017 at 13:10
x:3:2=9
\(\Leftrightarrow x=9.2.3\)
\(\Leftrightarrow x=54\)
So the answer is 54


Help you solve math 01/01/2018 at 10:52
FA Liên Quân Garena còn mắc 1 lỗi đó là copy bài của người khác như 1 người ngu
Bạn làm như vậy rồi sẽ bị cloud khóa nick thôi
Tuy cách đây 2 tháng mk có tự nhưng giờ mk bỏ rồi không làm như vậy nữa

Phan Thanh Tịnh 02/01/2018 at 19:26
thấy chưa vừa chửi đó luôn

FA Liên Quân Garena 01/01/2018 at 10:47
thằng cho Help you solve math .

Trần Nhật Quỳnh 19/04/2017 at 11:38
Number of prize winners: 2562  1602 = 960 (you)
Tran Nhat Quynh selected this answer.
Call a number of Gold Medal students
Because: The number of Silver medal students is twice the number of Gold medal students, the number of Bronze medal students twice the number of Silver medal students, Won the bronze medal. Inference: The number of Gold Medal students is:
A + 2a + 4a + 8a = 960
15a = 960
A = 960: 15
A = 64
Because: There are 12.5% of the students winning the gold medal has an absolute score of 300 points. Find out: The number of Gold medalists scoring an absolute 300 points is: 64 x 12.5: 100 = 8 (you) 
Trần Nhật Quỳnh 19/04/2017 at 11:38
Number of prize winners: 2562  1602 = 960 (you)
Call a number of Gold Medal students
Because: The number of Silver medal students is twice the number of Gold medal students, the number of Bronze medal students twice the number of Silver medal students, Won the bronze medal. Inference: The number of Gold Medal students is:
A + 2a + 4a + 8a = 960
15a = 960
A = 960: 15
A = 64
Because: There are 12.5% of the students winning the gold medal has an absolute score of 300 points. Find out: The number of Gold medalists scoring an absolute 300 points is: 64 x 12.5: 100 = 8 (you)

Megumi Kato 26/03/2017 at 12:08
The distance between the houses is: 3000: 100 = 30 (minute)
Homeownership is: 3000: 150 = 20 (minutes)
Average by John in a minute: 3000: (20 + 30) = 60 (minute)
Answers:60 minute 
Megumi Kato 26/03/2017 at 12:07
The distance between the houses is: 3000: 100 = 30 (minute)
Homeownership is: 3000: 150 = 20 (minutes)
Average by John in a minute: 3000: (20 + 30) = 60 (minute)
Answers:60 minute 
Kathryn Bernardo 29/03/2017 at 07:46
The distance between the houses is: 3000: 100 = 30 (minute)
Homeownership is: 3000: 150 = 20 (minutes)
Average by John in a minute: 3000: (20 + 30) = 60 (minute)
Answers:60 minute