I'll do problem 1 to get you started.
The vertical sides are 3 and x for the left and right figures.
The horizontal sides are 15 and 60 for the left and right figures.
The corresponding sides form fractions which are equal (due to the nature of the similar polygons)
3/x = 15/60
3*60 = x*15 ... cross multiply
180 = 15x
15x = 180
x = 180/15 .... divide both sides by 15
x = 12
----------
Another way you can see this is note how the jump from 15 to 60 is "times 4", so the jump from 3 to x must also be "times 4" to keep the same proportion
3 ---> x = 3*4 = 12
Or you could set up the proportion
60/15 = x/3
4 = x/3
x/3 = 4
x = 3*4
x = 12
-----------
<h3>Final Answer: 12</h3>
The fraction is 4 1/2. Just convert the decimal into a fraction. 50/100 is the same as 5/10 which is the same as 1/2.
Answer:
x = 5/2
Step-by-step explanation:
So firstly, you want to distribute. It'll make your life much easier.
-2x + 8 = 3
-2x = -5 (subtracting 8 from both sides)
x = 5/2 (dividing both sides by -2 to obtain x)
Hope this helps :)
The answer is C) 4x3 − 3x2 − 2x + 11