3: $6.35
4. $2.73
5: $3.38
6. Sport city because its racket costs $7 less than the other one
<h3>
Answer: Choice B</h3>
Angle 1 = 147 degrees
Angle 2 = 80 degrees
Angle 3 = 148 degrees
======================================================
Work Shown:
(angle 1) + 33 = 180
angle 1 = 180-33
angle 1 = 147 degrees
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Focus on the left most triangle that has angles 33 and 47 as interior angles. The missing angle is 180-33-47 = 100 degrees
The angle exterior to this 100 degree angle is angle 2
angle 2 = 180-100 = 80
We have enough info to conclude the answer must be choice B.
---------------
Let's keep going to find angle 3
The vertical angle for the 100 degree angle is also 100 degrees. This second 100 degree angle is part of the triangle on the right
This triangle on the right has interior angles 100 and 48
The missing interior angle is 180-100-48 = 32
The angle supplementary to this is 180-32 = 148, which is angle 3.
Answer:
35°
Step-by-step explanation:
The central arc is equal to the arc that subtends it, then
arc AC = 75° and
BC = AC - AB = 75° - 40° = 35°
The length of side walk is 500 feet
<em><u>Solution:</u></em>
Given that, A rectangle park measures 300 ft by 400 ft
Length = 300 feet
Width = 400 feet
A sidewalk runs diagonally from one comer to the opposite corner
We have to find the length of side walk
Which means, we have to find the length of diagonal of rectangle
<em><u>The diagonal of rectangle is given by formula:</u></em>
![d = \sqrt{w^2+l^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7Bw%5E2%2Bl%5E2%7D)
Where,
d is the length of diagonal
w is the width and l is the length of rectangle
<em><u>Substituting the values in formula, we get</u></em>
![d = \sqrt{400^2+300^2}\\\\d = \sqrt{160000+90000}\\\\d = \sqrt{250000}\\\\d = 500](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B400%5E2%2B300%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B160000%2B90000%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B250000%7D%5C%5C%5C%5Cd%20%3D%20500)
Thus length of side walk is 500 feet