Answer:
answer is 90
Explanation:
Here 5 is one of the 4 prime factors, so dividing the lower (80) and upper limit (100) by 5 we have new lower limit 16 and new upper limit 20.
So the product of other 3 factors should be greater than 16 and less than 20.
And we can have it from 18 only. Hence the number is 90.
The numbers between 80 and 100 having factor 5 are
<span>80,85,90,95,100</span>
<span>16=<span>24</span></span>
<span>17=17</span>
<span>18=2×3×3</span>
<span>19=19</span>
<span>20=<span>22</span>×5</span>
<span>90=2×<span>32</span>×<span>5</span></span>
<span><span>
</span></span>
The answer would be C) <span>–3x and –6x
using the headers for both the top and left side of the diagram, we can see that we need to add a value for when x is multiplied with -3, and when x is multiplied with -6, thus C is our answer</span>
Answer:
The answer to your question is Perimeter = 287.3 in
Step-by-step explanation:
AB = 90 in
BC = 80 in
∠B = 50
Perimeter = ?
Process
1.- We need to find AC using Law of sines
A = 42.9 ≈ 43
The sum of the internal angles in a triangle equals 180°
A + B + C = 180°
43 + B + 50 = 180
B = 180 - 43 - 50
B = 87°
AC = 117.3
2.- Find the perimeter
Perimeter = AB + BC + AC
Perimeter = 90 + 80 + 117.3
Perimeter = 287.3 in
Answer:
216°
Step-by-step explanation:
The ratio of the sum of smallest and largest to the total of all angles is ...
(9 +15)/(9 +10 +12 +14 +15) = 24/60 = 0.4
__
The total of all angles in an n-gon is 180°(n -2), so the total of all angles in a pentagon is ...
180°(5 -2) = 540°
Then the sum of smallest and largest angles is ...
0.4(540°) = 216°
