RSM PROBLEM NEED HELP!!!!!! In the figure, if PN = LN, NP ∥MQ, and QL
1 answer:
The value of x is 67°
<u>Step-by-step explanation:</u>
Given that
PN=LN
NP||MQ
QL bisects <PQM
therefore <PQL=<LQM
NP||MQ and NM is a transversal
<PNL+<LMQ=180°(angles on the same side of the transversal are supplementary)
<PNL+54=180°
<PNL=180-54=126°
Consider ΔPNL
since PN=NL,the triangle is isocelus
<NPL=<NLP=a
<NPL+<NLP+<PNL=180°
a+a+126=180°
2a+126=180
2a=180-126
=54°
a=54/2=27°
consider the point L
<NLP+<PLQ+<MLQ=180°
27+70+<MLQ=180
<MLQ=180-97=83°
consider ΔLQM
<LQM+<LMQ+LMQ=180
<LQM+83+54=180
<LQM=180-(83+54)=180-137=43°
<PQL=43°(since<PQL=<LQM)
considerΔPQL
x+70+<PQL=180°
x+70+43=180°
x+113=180
x=180-113
=67°
The value of x is 67°
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Eight and five hundred seventeen thousandths.
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Answer:
y = 8
x = 9
Step-by-step explanation:
given equation,
x + y = 17 ........(1)
9 x - y = 73...........(2)
writing in matrix form
A X = B
using augamented matrix A|B
using row transformation
R₂ = R₂ - 9 R₁
now,
now
-10 y = -80
y = 8
and
x + y = 17
x = 17 -8
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