Answer:
The best answer is " The lines are the same " ⇒ A
Step-by-step explanation:
A system of two linear equations can have:
- One solution ⇒ 2 intersected lines at a point
- An infinite number of solutions ⇒ same line
- No solution ⇒ 2 parallel lines
If a system has at least one solution, it is called consistent
- If a consistent system has exactly one solution, then it is called independent. they are represented by two intersected lines at a point
- If a consistent system has an infinite number of solutions, then it is called dependent. They are represented by the same line
If a system has no solution, then it is called inconsistent. they represented by two parallel lines
Let us use these facts above to solve our question
∵ A system of two linear equations is consistent and dependent
∴ The system has an infinite number of solutions
∴ The system represented graphically by the same line
∴ The best answer is " The lines are the same "
Hello ShaveTheWhales!
If (1+2i) is a root, then (1-2i) will also as kown, be another root.
In Other Words to make it NOT complicated for you, <span>1-2i, 3i, and -3i are the other 3 roots.
</span>
Hope this AT LEAST Helps! Have A Wonderful Day! :)
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°
<span>Using LAW OF SINES Round to the nearest tenth.
Find BC: triangle is laying on it's side with the point to the right point(A).
B to C= 61 degrees
C to A= 23 cm
A to B= 12 degrees
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If I interpret this correctly:
Angle A = 61º
Angle C = 12º
--> B = 103º
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Side b = 23 cm
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BC is side a, opposite angle A
--------------
23/sin(103) = a/sin(61)
a = 23*sin(61)/sin(103)
a =~ 20.6 cm
Hope this helped :)</span>
The measure of angle RKL is 63 degrees.
The measure of the inscribed angle RKL times 2 is equal to the arc that it forms.
Therefore, we can write and solve the following equation:
2(-2 + 23x) = 64 + 24x - 2
-4 + 46x = 62 + 24
22x = 66
x = 3
Now, input 3 into the expression for the angle and you will have 67.
-2 + 23(3)
-2 + 69
67