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°
the slope is 2 and y in 4/3
Answer:
31 and 13
Step-by-step explanation:
31+13=44 and 13+18=31 so they are 18 apart
Answer:
Step-by-step explanation:
Arc length =
where x is the angle
∴ For this question, the arc length is:
Arc length 
Arc length =
1. Sry, I am confused by this one
2. Positive Integer factors of 196 = 2, 4, 7, 28, 196/2, 2, 7, 7, leaves it with no remainder.
3. Neither
4. Prime
5. Composite
6. 80, 96, 112 (pattern: add 16 each time)
7. 29, 36, 38 (pattern: add 7, add 2 and so on)
Hope this helped!!
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