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viva [34]
3 years ago
14

Please explain/show how you got your answer.

Mathematics
1 answer:
Vesna [10]3 years ago
3 0

There is no equation to look at. You just have to look at the angles. 
to find the first angle they are using (m∠DXB) 
Put your finger on D then slide it to the next letter X  and then move it to the letter B. Hopefully you found the angle by now.. 

This angle that you just found is approximately 2/3 of the entire angle. 

Now can you say 2/3 +  1/3 = 3/3 or 1 whole. 

so our approximate 1/3 of the entire angle is m∠BXA

So start by looking at B and then moved your finger to X then moving it to A.  And you should find the open triangle shape. 

Now When you add those together you get one whole. So this entire open triangle is what we need to write down. 

Answer = m∠DXA

Good Luck! :) 



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[|(x-4)÷(x+5)|]\leq[4]
Katena32 [7]

Answer:

Solutions are;

x = -8

x = -3.2

Step-by-step explanation:

Here, we want to solve the given equation for x

|(x-4)/(x + 5)| = 4

From what we have, this is an absolute value equation and thus, we are going to have two solutions

These are;

x-4/x+ 5 = 4

x-4 = 4(x + 5)

x-4 = 4x + 20

x-4x = 20 + 4

-3x = 24

x = -24/3

x = -8

secondly;

x-4/x+5 = -4

x-4 = -4(x + 5)

x-4 = -4x - 20

x + 4x = -20 + 4

5x = -16

x = -16/5

x = -3.2

3 0
3 years ago
If tanA+sinA=m and tanA-sinA=n.prove that m^2-n^2=4√mn
mash [69]

Let a=\tan A and b=\sin A. Then

m^2-n^2=(a+b)^2-(a-b)^2=(a^2+2ab+b^2)-(a^2-2ab+b^2)=4ab

\implies m^2-n^2=4\tan A\sin A

and

mn=(a+b)(a-b)=a^2-b^2

\implies4\sqrt{mn}=4\sqrt{\tan^2A-\sin^2A}

The expression under the square root can be rewritten as

\tan^2A-\sin^2A=\dfrac{\sin^2A}{\cos^2A}-\sin^2A=\sin^2A\left(\dfrac1{\cos^2A}-1\right)=\sin^2A(\sec^2A-1)

Recall that

\sin^2A+\cos^2A=1\implies\tan^2A+1=\sec^2A

so that

\tan^2A-\sin^2A=\sin^2A\tan^2A

and assuming \sin A>0 and \tan A>0, we end up with

4\sqrt{\tan^2A-\sin^2A}=4\tan A\sin A

so that

m^2-n^2=4\sqrt{mn}

as required.

5 0
3 years ago
In each box, 40% of the total candies are lemon flavored.
ch4aika [34]
In a box of 35 candles with 40% of them lemon flavored 14. of them would be lemon flavored
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Casandra needs 2 meters of string for her kite how many centimeters of string does she need
inna [77]

Answer:

200 cm

Step-by-step explanation:

2*100= 200

4 0
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