Answer:
Step-by-step explanation:
Measures of angles are,
m∠A = (2x)°
m∠B = (x + 14)°
m∠C = (x - 38)°
By triangle sum theorem,
m∠A + m∠B + m∠C = 180°
2x + (x + 14) + (x - 38) = 180
(2x + x + x) + (14 - 38) = 180
4x - 24 = 180
4x = 204
x = 51
m∠A = 2(51)° = 102°
m∠B = (51 + 14)° = 65°
m∠C = (51 - 38)° = 13°
Answer:
a. ![n - 11 \le 14](https://tex.z-dn.net/?f=%20n%20-%2011%20%5Cle%2014%20)
b. ![5n - 10 < 4(n - 8)](https://tex.z-dn.net/?f=5n%20-%2010%20%3C%204%28n%20-%208%29)
Step-by-step explanation:
a. A number decreased by 11 is at most 14.
![n - 11 \le 14](https://tex.z-dn.net/?f=%20n%20-%2011%20%5Cle%2014%20)
b. Ten less than five times a number is less than four times the number decreased by eight.
![5n - 10 < 4(n - 8)](https://tex.z-dn.net/?f=5n%20-%2010%20%3C%204%28n%20-%208%29)
so, three bags can be filled and 0.33 or 0.33*(1/3) =11/100 nails will be left
Step-by-step explanation:
We will get the number of bags that can be filled from 5/12 by dividing the total amount by the 1/8
Given
Total nails in bag = 5/12 pounds
The capacity of small bag = 1/8 pounds
So,
![Number\ of\ bags = \frac{\frac{5}{12}}{\frac{1}{8}}\\Simplifying\\=\frac{5}{12}*\frac{8}{1}\\=\frac{40}{12}\\=3.33\ bags](https://tex.z-dn.net/?f=Number%5C%20of%5C%20bags%20%3D%20%5Cfrac%7B%5Cfrac%7B5%7D%7B12%7D%7D%7B%5Cfrac%7B1%7D%7B8%7D%7D%5C%5CSimplifying%5C%5C%3D%5Cfrac%7B5%7D%7B12%7D%2A%5Cfrac%7B8%7D%7B1%7D%5C%5C%3D%5Cfrac%7B40%7D%7B12%7D%5C%5C%3D3.33%5C%20bags)
so, three bags can be filled and 0.33*(1/3) = 11/100 nails will be left
Keywords: Division, Quotient
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No 3/7 do not represents the same length on the number line
Step-by-step explanation:
letπ be the percentage of her savings
=40+85
=125
=125+π=100
=π=100-125
=π=75