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Montano1993 [528]
3 years ago
13

Yes,I need help with another one of these , the number that got cut off is 24 btw.

Mathematics
1 answer:
V125BC [204]3 years ago
3 0

Since, PS and QR are parallel, we know that <QRP is equal to <RPS.  Therefore, we can solve for y by setting the two equations equal to each other.

5y+14=8y-13

<em>*Subtract 5y from both sides to isolate the variable*</em>

14=3y-13

<em>*Add 13 to both sides*</em>

27=3y

<em>*Divide both sides by 3*</em>

9=y


Now, plug in 9 for y in the equation 8y-13 to find the measure of that angle.

8(9)-13

<RPS=59


Now, the sum of the angles in any triangle is equal to 180 degrees.  We can use this knowledge to set up an equation to solve for x.

3x+2x+1+59=180

<em>*Combine like terms*</em>

5x+60=180

<em>*Subtract 60 from both sides*</em>

5x=120

<em>*Divide both sides by 5*</em>

x=24


Now, we can find <RSP by pluggin 24 in for x.

2(24)+1

48+1

<RSP=49 degrees


Hope this helps!!

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Step-by-step explanation:

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Lina20 [59]

Answer and Step-by-step explanation:

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<em><u>#teamtrees #PAW (Plant And Water)</u></em>

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alexandr1967 [171]

Answer:

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I hope this helps have a great day :)

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