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:
1.5 or -5
Step-by-step explanation:
2x²+7x-15=0
Divide by 2:
x²+7x/2-15/2=0
x=-7/2/2 ± √49/4(4)+15/2
=-7/4 ± √49/16+120/16
=-7/4± √169/16=-7/4 ±13/4
=6/4 or -20/4
=1.5 or -5
Work:
6/15 = x/1
To get from 15 to 1, you have to divide by 15. So, to make an equal field, divide 6 by 15.
6 : 15 is the same as 2 : 5 or 0.4.
30/80 = x/1
To get from 80 to 1, you have to divide by 80. So, to make an equal field, divide 30 by 80.
30 : 80 is the same as 3 : 8 or .875.
Comparing the two, 30 : 80 is greater than 6 : 15.
Hope this helps. Have a good day.
9514 1404 393
Answer:
4/5 acre
Step-by-step explanation:
We assume your allocations are ...
goats: 3/5 acre
pigs: 1/5 acre
llamas: 2/5 acre
2 acres is 10/5 acres, so the remaining area is ...
10/5 -3/5 -1/5 -2/5 = (10 -3 -1 -2)/5 = 4/5
4/5 acre is allocated to horses.
