Given that the equation of the line is:
y=-18x-2
the equation is in the form of y=mx+c, where m is the slope. Thus the slope of equation is -18. The line perpendicular to this equation has a slope of 1/18, hence the equation will be given by the formula:
m(x-x1)=y-y1
given that the line passes through point (-2,-3) the equation of the line will be:
1/18(x--2)=y-(-3)
1/18(x+2)=y+3
simplifying this gives us:
y=1/18x+1/9+3
y=1/18x6+3 1/9
If H is the circumcenter, then each of EH, FH, and GH are perpendicular bisectors of the legs BC, CD, and DB, respectively. So, for instance, EH cuts BC in half so that BE and EC have the same length.
Also, BH, CH, and DH are radii to the circumcircle of the triangle, so they all have the same length.
(1) CD = CF + FD = 2 • FD = 2 • 32 = 64
(2) CE = BE = 26
(3) HD = HC = 33
(4) GD = 1/2 • BD = 1/2 • 58 = 29
(5) By the Pythagorean theorem,
HG² + GD² = HD²
so
HG = √(33² - 29²) = 2 √(62)
(6) Similar to (5); by the Pythagorean theorem,
HF² + FD² = HD²
so
HF = √(33² - 32²) = √(65)
The length of the major arc LNM is 
<h3><u>Length of an arc</u></h3>
From the question,
We are to determine the value of the length of the major arc LNM
The length of the major arc LNM can be calculated using the formula
Where r is the radius
First, we will determine the value of the reflex ∠LKM
Reflex ∠LKM + ∠LKM = 360° (<em>Sum of angles at a point</em>)
From the given information,
∠LKM = 70°
Then,
Reflex ∠LKM + 70° = 360°
Reflex ∠LKM = 360° - 70°
Reflex ∠LKM = 290°
Also, from the question
r = 3 cm
Now, putting the parameters into the formula, we get
Then,
Hence, the length of the major arc LNM is
Learn more on calculating length of an arc here: brainly.com/question/2005046
Answer:
80
Step-by-step explanation:
120 divided by 3 is 40. 40 multiplied by 2 is 80.
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