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Vitek1552 [10]
3 years ago
9

When adding 35.64 to a certain number, the sum is 38.24, as seen below. What number should go in the box to complete the additio

n problem?

Mathematics
1 answer:
gulaghasi [49]3 years ago
5 0
The answer is 2.6 I got this by doing 38.24-35.64
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Answer:

Option A) m∠RNS=27°

Step-by-step explanation:

We know that m∠UNR = 180°. This tells us that the Sum of the enclosed angles should equal 180°, by trigonometry. So the enclosed angles are:

m∠RNS = (3x+6)^{o}

m∠SNT= (13x+3)^{o}

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Now let us add all the angles and solve for the value of x as follow:

m_{RSN}+m_{SNT}+m_{TNU}=m_{UNR}\\\\(3x+6)+(13x+3)+(10x-11)=180\\\\3x+13x+10x+6+3-11=180\\\\26x-2=180\\\\26x=180+2\\\\26x=182\\\\

x=\frac{182}{26} \\\\x=7

Now lets plug in the value into the expression for angle m∠RNS to find the angle as:

RNS = (3x+6)^{o}\\\\RNS=(3(7)+6)^{o}\\\\RNS=(21+6)^{o}\\\\RNS=27^{o}

Thus Option A. is the correct answer.

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Varvara68 [4.7K]

Answer:

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