Answer: 41 or 85
<u>Step-by-step explanation:</u>
Range is the difference between the largest number and the smallest number.
The largest number is 72. 72 - 31 = 41
The smallest number is 54. 54 + 31 = 85
Adding either ONE of those numbers will result in a range of 31.
Answer:
Step-by-step explanation:
36 = 6* 6 = 2* 3 * 2* 3 = 2*2*3*3
180 = 2 * 2 * 3 * 3 * 5 = 2 * 2 * 3*3*5

Factors that are common will be cancelled
Step-by-step explanation:
x1=2. y1=1. x2=4. y2=5
by midpoint formula,
2+ 4/2 = 6/2 =3
1+5 /2 =6/2 = 3
therefore,the midpoints are (3,3)
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The perpendicular line will have a slope of b/a.
To find this, we first have to solve our equation for slope intercept form.
ax + by = c ----> subtract ax
by = -ax + c ----> divide by b
y = -a/bx + c/b.
So we know the slope of this equation to be -a/b. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of b/a.
Answer:
60?
Step-by-step explanation:
4000/200 = 20
20 × 3 =60