Answer:
2 and 3
Step-by-step explanation:
2) If two polygons are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides.
side ratio: 1/4------- area ratio: 1²/4² = 1/16 = 1:16 ratio
3)If two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.
The ratio of the perimeters is the same as the scale factor.
scale 1:4
Answer:
x = 5/(10 - a - b)
Step-by-step explanation:
Solve for x:
4 + 3 x - a x = 9 - 7 x + b x
Collect in terms of x:
x (3 - a) + 4 = 9 - 7 x + b x
Collect in terms of x:
x (3 - a) + 4 = x (b - 7) + 9
Subtract (b - 7) x + 4 from both sides:
x (10 - a - b) = 5
Divide both sides by 10 - a - b:
Answer: x = 5/(10 - a - b)
Hi there!
So, our two equations are:
2x + 3y = 20 and
-2x + y = 4
We can see that the x's will cancel out because they're the same number, opposite signs. Then we're left with 4y = 24.
Divide 24 by 4, which is 6.
y = 6, then we plug that in to the first equation for y:
2x + 3(6) = 20
2x + 18 = 20
2x = 2
x = 1
So, she made her first mistake when adding the equations, adding 20 and 4, she somehow got 16.
The solution to the system is (1,6).
I hope I helped!
2.48 > 2.471 > 2.463
5.723 < 5.724 < 5.725
7.64 < 7.65 < 7.68
Answer:
51 miles/hour is the conversion of 75 feet/second rounding to nearest whole number.
Step-by-step explanation:
Given:
75 feet/second.
Now, to convert 75 feet/second into miles/hour.
So, to convert we divide the value of feet per second by conversion factor to get miles per hour.
Value of feet per second = 75.
Conversion factor = 1.4667.
Now, putting the formula to get the value in miles/hour:
Value in miles/hour = value of feet/second ÷ conversion factor.
Value in miles/hour = 
= 
<em>Rounding nearest to whole number = 51 miles/hour.</em>
Therefore, 51 miles/hour is the conversion of 75 feet/second rounding to nearest whole number.