Two basic ways in which to do this problem:
1. Find and apply the LCD.
2. Convert all of the given numbers to their decimal form, to 2 or 3 places only.
Try #2 first:
5/6 = 0.83
4/5 = 0.80 is not between 5/6 and 1. Reject it.
4/7 = 0.57 Reject
6/7 = 0.86 This is between 5/6 and1. This is the answer.
Answer: 16
Step-by-step explanation:
an area is always calculated by multiplying 2 dimensions.
when changing the dimensions, then the change factors for EACH dimension go into the calculation too.
therefore, when both dimensions of an area are enlarged 4 times, then the area is enlarged 4×4 = 16 times.
this just propagates to the whole surface area of an object, as each individual area of the overall surface area is enlarged by the same factor. and so, the sum of all the individual areas (= altogether the surface area of the object) is also enlarged in total by the same factor.
just think
16×a + 16×b + 16×c ... = 16×(a+b+c+...)
Answer: undefined
Step-by-step explanation:



= undefined
Answer:
2*x + 2*y ≤ 165 ft
x > 50ft
0ft < y ≤ 20ft
Step-by-step explanation:
For a rectangle with length x and width y, the perimeter of the triangle is:
P = 2*x + 2*y
The perimeter needs to be equal or smaller than the length of fencing that the farmer has, then:
2*x + 2*y ≤ 165 ft
We also know that:
(x strictly larger than 50ft)
x > 50ft
(y can be, at most, 20 ft)
0ft < y ≤ 20ft
(where we added the restriction that y needs to be larger than zero, because we can not have a width equal or smaller than zero)
Then the system of inequalities that represent this situation is:
2*x + 2*y ≤ 165 ft
x > 50ft
0ft < y ≤ 20ft
Answer:
x=22
Step-by-step explanation:
x+14=5x-74 (being corresponding angles and correcponding angles are always equal)
14+74=5x-x
88=4x
88/4=x
22=x