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VikaD [51]
3 years ago
12

Someone please help asap !!! GEOMETRY If p is parallel to a what is the measure of ACB ????

Mathematics
1 answer:
Valentin [98]3 years ago
8 0

First, we have to find x and then find the angular value of <ACB.

5x + 14 = 19x - 28

14x = 42

x = 3

19(3) - 28 = 57 - 28 = 29

180 - 29 = 151

Option F is the right answer.

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0.194 if 94 is repeating how do I write it as a fraction?
umka2103 [35]
If you divide a number by 9 then that number is repeated (1/9 = 0.111111... or 2/9 = 0.22222....)

So if we want 94 to repeat in the decimal 0.194 then we can have 94/99. But the thing is that we don't have 94 being repeated starting from the tenths place so we can possibly do 94/990. 

Now we do have a tenths with a zero but we need a one to replace that zero. To do that we have to add 1/10 + 94/990 = 99/990 + 94/990 = 193/990. 
5 0
3 years ago
What is the measurement of Angle O in parallelogram LMNO. When angle L is (x+40) and angle O is (3x)
I am Lyosha [343]

In a parallelogram, opposite angles are congruent.

This means that the four angles of the parallelogram are:

L = x+40,\quad M = 3x,\quad N = x+40,\quad O = 3x

Moreover, the sum of the interior angles of a polygon with n sides is 180(n-2). So, the sum of the interior angles of a parallelogram is 360.

This means

L+M+N+O = 360 \iff 2(x+40)+2(3x) = 2x+80+6x = 360 \iff 8x = 280 \iff x = 35

And since O=3x, we have O=3\cdot 35=105

3 0
3 years ago
Read 2 more answers
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
2 years ago
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Which inequality does this graph represent?
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I believe it is d also hope that help
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