Answer: 2
Step-by-step explanation:
16/9=1.7
=Approximately=2
The actual degree measure of arc KJ is 99 degrees
<h3>Circle geometry</h3>
From the given informtion
arc KL = 12x+4
arc KJ = 8x-6
<E = 99 degrees
The equation required to get the value of "x" is given as:
12x + 4 + 8x - 6 + 99 = 360
20x + 97 = 360
20x = 360 - 97
20x = 263
x = 13.15
For the arcKL
arcKJ = 8(13.15) - 6
arcKJ = 99degrees
HEnce the actual degree measure of arc KJ is 99 degrees
learn more on circle geometry here: brainly.com/question/24375372
Answer:
n = 8, w = 3 and perimeter = 122.83 units.
Step-by-step explanation:
Let the angle M is the angle between the equal sides of isosceles JAM.
So, JM = MA
⇒ 35 = 4n + 3
⇒ 4n = 32
⇒ n = 8 (Answer)
Now, if ∠ J = 14w - 1 and ∠ M = 98°, then
2(14w - 1) + 98 = 180
⇒ 2(14w - 1) = 82
⇒ 14w - 1 = 41
⇒ w = 3 (Answer)
Now, draw a perpendicular bisector on JA from vertex M and it meets JA at P say.
So, Δ MPJ will be a right triangle with ∠ J = (14w - 1) = 41° {Since w = 3}
Hence,
⇒ JP = 35 cos 41 = 26.415
So, JA = 2 × JP = 52.83
So, the perimeter of Δ JAM is = 35 × 2 + 52.83 = 122.83 units (Answer)
Answer:
<h2>-2√3 + 2√15</h2>
Step-by-step explanation:
√3 (-2+√20) = √3×(-2) + √3×√20
= -2√3 + √3×√(4×5)
= -2√3 + √3×√4×√5
= -2√3 + √3×2×√5
= -2√3 + 2√15