Answer:
54
Step-by-step explanation:
To solve problems like this, always recall the "Two-Tangent theorem", which states that two tangents of a circle are congruent if they meet at an external point outside the circle.
The perimeter of the given triangle = IK + KM + MI
IK = IJ + JK = 13
KM = KL + LM = ?
MI = MN + NI ?
Let's find the length of each tangents.
NI = IJ = 5 (tangents from external point I)
JK = IK - IJ = 13 - 5 = 8
JK = KL = 8 (Tangents from external point K)
LM = MN = 14 (Tangents from external point M)
Thus,
IK = IJ + JK = 5 + 8 = 13
KM = KL + LM = 8 + 14 = 22
MI = MN + NI = 14 + 5 = 19
Perimeter = IK + KM + MI = 13 + 22 + 19 = 54
Answer:
100
Step-by-step explanation:
Remark
If two opposite arcs are given by being opposite vertically opposite angles, then the value of both the vertically opposite angles are equal to
Vertically opposite angle = 1/2 (arc1 + arc2)
Givens
Arc1 = 60
Arc2 = 100
Solution
The red dot angle = 1/2 (60 + 100)
The red dot angle = 1/2(160)
The red dot angle = 80
Because the red dot angle and <3 are on the same line with the same common point, they are supplementary.
<3 and red dot = 180
<3 + 80 = 180 Subtract 80 from both sides
<3 = 180 - 80
<3 = 100
Answer: P = 166 units
Step-by-step explanation: Each point on the triangle has lines that are tangent to the circle in the triangle, meaning that those lines form a 90° angle to the middle point in the circle. There is also a rule that states if there are tangent lines coming from the points and if the points have at least one given side length, the other side will have the same side length. So if one side on point D is 41, then the other side connected to the point is 41. I added up all of the side lengths; 41 + 41 + 30 + 30 + 12 +12 = 166 units.
I hope this helps!
Answer:
no u
Step-by-step explanation: no no no no no no no no no
