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
1 full revolution=360
4seconds=360degrees
how many seconds is 90 degrees
4:360=x:90
4/360=x/90
simpllfiy
1/90=x/90
1=x
answer is 1 second
Answer:
Sara earned a commission of <em>$2,300.</em>
Step-by-step explanation:
To find the answer we will first<em> divide 5 by 100</em> and we get <em>0.05</em>. Now <em>multiply $46,000 by 0.05 </em>and we get <em>$2,300</em>. Therefore, <em>$2,300 is our answer.</em>
Step-by-step explanation:
Rise of y-value = (-4) - (3) = -7.
Run of x-value = (8) - (6) = 2.
Slope of the line = Rise / Run = (-7) / (2) = -3.5.
Answer:
= −11.2
Step-by-step explanation:
64.8=6(m+22)
We move all terms to the left:
64.8-(6(m+22))=0
We calculate terms in parentheses: -(6(m+22)), so:
6(m+22)
We multiply parentheses
6m+132
Back to the equation:
-(6m+132)
We get rid of parentheses
-6m-132+64.8=0
We add all the numbers together, and all the variables
-6m-67.2=0
We move all terms containing m to the left, all other terms to the right
-6m=67.2
