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2 years ago

Josefina pain rent for 5 months. She paid a total of $2045. how much did she pay per month?

Mathematics

1 answer:

djverab [1.8K]2 years ago

8 0

Answer:

$409 per month

Step-by-step explanation:

If josefina paid $2045 over a time period of 5 months, then we have to divide how much she paid ($2045) by 5 to find out how much she paid for rent in 1 month.

We can use the equation: 2045 ÷ 5

When we solve that equation, we get 409 which means that josefina paid $409 per month for rent.

(sorry if this is confusing but I hope it helped)

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Answer:

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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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