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:
y = 2
Step-by-step explanation:
y = x
x = 2
Plug in the given value.
y = (2)
This is already simplified.
Therefore, when x = 2, y = 2.
Hope this helps!
Answer:
Step-by-step explanation:
R=r
Answer:
5
Step-by-step explanation:
These are functions, the number in the parentheses shows you what number you will replace x with
If f(x) = x + 3, then f(-1) is -1 + 3
So, -1 + 3 = 2. g(2) = 2(2) + 1 = 4 + 1 = 5
Hope this helps friend.
First you had to add by seven from both sides of equation form.
Then simplify by equation.
Next, you multiply by two from both sides of equation form.
And finally, simplify by equation.
Final answer: 
Hope this helps!
And thank you for posting your question at here on brainly, and have a great day.
-Charlie
