The measure of <2 is 92 degrees
<h3>How to solve for 2?</h3>The complete question is in the attached image
The angles are given as:
<1 = 4x - 4
<2 = 4x
The sum of angles on a straight line is
<1 + <2 = 180
So, we have:
4x - 4 + 4x = 180
Evaluate the like terms
8x = 184
Divide by 8
x = 23
Substitute x = 23 in <2 = 4x
<2 = 4 * 23
Evaluate
<2 = 92
Hence, the measure of <2 is 92 degrees
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Let's start by identify a 30-60-90 triangle
If we compare those two traingles we can stablish the following relation:
Therefore, a=6
u is the opposite side to the 90° angle, therefore
on the other hand, v is the opposite side to the 30° angles, so
Answer:
Claire is standing at a distance of 485.45 meters to Chloe.
Step-by-step explanation:
The track is a circular with a radius of 100 meters.
The total length of the circular track = length of the circumference of a circle
But, length of the circumference of a circle = 2r
So that,
total length of the circular track = 2r
= 2 × × 100
= 628.57
The total length of the circular track is 628.57 meters.
Thus,
the distance of Claire to Chloe = total length of the circular track - distance of Chloe to Claire
= 628.57 - 143.12
= 485.45
This means that Claire is standing at a distance of 485.45 meters to Chloe.