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°
Answer:
Any number greater than 3.
Step-by-step explanation:
To find the answers to this question, start by solving the inequality for x.
2x - 1 > x + 2
x - 1 > 2
x > 3
Using this, we now know that any number that is greater than 3 would work for this inequality.
Answer: 57.89 $
Step-by-step explanation:
67 $/1 x 80/100 = 53.6 $
*Here, 80% is used to represent the cost of the shoes. Since they are 20% off, you are actually paying 80% of the price.
Final price of shoes = price of shoes + (price of shoes x sales tax)
final price of shoes = 53.6 $ + (53.6 x 0.08%)
final price of shoes = 53.6$ + 4.29 $
final price of shoes = 57.89 $
