Will do first question of each concept only because the rest of the questions are the same concept (the same few repeat but whatever).
1. <em>Total angle = (n - 2) * 180 --> 4 * 180 = 360°</em>
<em>70 + 130 + 120 + θ = 360</em> --> 320 + θ = 360 --> θ = 40
4. Total angle =<em> (10 - 2) * 180</em> --> 8 * 180 = <em>1440</em>
<em>1440/10</em> = 144°
6. Interior: (n - 2) * 180 --> 10 * 180 = 1800
Exterior: 12 * 180 = 2160 --> 2160 - 1800 = 360
9. (n - 2) * 180 --> 3 * 180 = 540
90 + 90 + 150 + 160 + θ = 540 --> 490 + θ = 540 --> θ = 50
13. Interior: (n - 2) * 180 --> 2 * 180 = 360
Exterior: n * 180 - (n - 2) * 180 --> 180n - 180n + 360 --> 360 (always the same)
16. 7r + 4r + 8r + 5r = 360 --> 24r = 360 --> r = 15
Answer:
Our answer would be x > 3
I have attached a picture of the graph below.
Answer:
259200 seconds
The conversion factor from days to seconds is 86400, which means that 1 day is equal to 86400 seconds:
1 d = 86400 s
To convert 3 days into seconds we have to multiply 3 by the conversion factor in order to get the time amount from days to seconds. We can also form a simple proportion to calculate the result:
1 d → 86400 s
3 d → T(s)
Solve the above proportion to obtain the time T in seconds:
T(s) = 3 d × 86400 s
T(s) = 259200 s
The final result is:
3 d → 259200 s
We conclude that 3 days is equivalent to 259200 seconds:
3 days = 259200 seconds
<em><u>Hope this helps :)</u></em>
Answer:
The person would have to play 2 games for the two bowling alleys to cost the same amount
Step-by-step explanation:
Assume that the number of games that makes the two costs equal is x
∵ A bowling alley charges $2.50 per game plus $4 to rent shoes
∵ The number of games is x
∴ The cost = 2.50x + 4
∵ A second bowling alley charges $4 per game plus $1 to rent shoes
∵ The number of games is x
∴ The cost = 4x + 1
∵ They have the same cost
→ Equate the 2 expressions above
∴ 4x + 1 = 2.50x + 4
→ Subtract 2.50x from both sides
∵ 4x - 2.50x + 1 = 2.50x - 2.50x + 4
∴ 1.50x + 1 = 4
→ Subtract 1 from both sides
∵ 1.50x + 1 - 1 = 4 - 1
∴ 1.50x = 3
→ Divide both sides by 1.50
∴ x = 2
∴ The person would have to play 2 games for the two bowling alleys to
cost the same amount
Step-by-step explanation:
<em>Hi</em><em>,</em>
<em>Let's</em><em> </em><em>describe</em><em> </em><em>it</em><em> </em><em>in</em><em> </em><em>listing</em><em> </em><em>method</em><em>;</em>
<em>S</em><em>=</em><em> </em><em>{</em><em>8</em><em>,</em><em>1</em><em>6</em><em>,</em><em>2</em><em>4</em><em>}</em><em>.</em>
<em><u>Hope</u></em><em><u> </u></em><em><u>you</u></em><em><u> </u></em><em><u>got</u></em><em><u> </u></em><em><u>it</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>