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2 years ago

Can someone help me with this answer plsss

Mathematics

1 answer:

solniwko [45]2 years ago

4 0

Answer: 44 ft

Step-by-step explanation:

if you add up the right square it adds up to 16 4+4+4+4 all sides are equal since its a square.

The left rectangle is

8+8=16

6+6=12

16+12=28

Now you add the square on the right to the square on the left which is

28+16= 44 ft

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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= $(13x+3)^{o}$

$m$ ∠TNU= $(10x-11)^{o}$

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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Step-by-step explanation:

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