Hie!! I will be solving the questions in the sequence of the attachments.
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4. As line SU and TV are intersecting each other at O.
A.T.Q, ∠UOV = (7x - 4)°
∠SOT = 87°
Then, ∠UOV = ∠SOT {Vertically Opposite Angles}
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5. radius = 17ft
circumference of circle = 2πr
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3. ∠1 and ∠2 - add to 180 (linear pair)
∠1 and ∠3 - equal (Vertically Opposite Angles)
∠3 and ∠4 - add to 180 (linear pair)
∠2 and ∠4 - equal (Vertically Opposite Angles)
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2. 160° + (6x - 16)° = 180° (linear pair)
The circumference of the circle is 144.4 yards
Step-by-step explanation:
The circumference of a circle is C = 2πr, where
- r is the radius of the circle
- π is a constant ratio between the circumference of the circle and its diameter and its value is approximately 3.14
∵ The radius of a circle is 23 yards
- Use the rule above to find its circumference
∵ C = 2πr
∴ C = 2π(23)
∵ π ≅ 3.14
∴ C = 2(3.14)(23)
∴ C = 144.44 yards
- Round it to the nearest tenth
∴ C = 144.4 yards
The circumference of the circle is 144.4 yards
Learn more:
You can learn more about the circle in brainly.com/question/1952668
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Answer:
(A)
(B)
Step-by-step explanation:
(A)
we are given
Firstly, we will find few terms
so, we will get terms as
5, 7 , 9 , 11
we can see that this is arithematic sequence
First term =5
common difference =d=7-5=2
now, we can use nth term formula
now, we can plug values
(B)
we can plug n=10
Based on the number of days that the health inspector and the fire inspector visits, the table for their next 4 visits is:
Number of visits Health Inspector visits Fire inspector visits
1 7 12
2 14 24
3 21 36
4 28 48
The number of days till both inspectors visit on the same day is 84 days.
<h3>What day will both inspectors visit?</h3><h3 />
The model that would be best to use and solve the problem of the number of days till both inspectors visit is the Lowest Common Multiple.
This shows the number of days till both inspectors would visit based on their visiting interval.
The lowest common multiple of 7 and 12 is 84 which means that the health and fire inspectors would visit after 84 days on the same day.
Find out more on the lowest common multiple at brainly.com/question/16054958
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