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
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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
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<h3>Final Answer: 12</h3>
The answer is B.. also it might help to get photomath
Answer:
36
Step-by-step explanation:
Think of the unknown sized side as a half of 12 and multiply them together when your triangle is obtuse like that. and split the answer from 6 times 12.
I hope this helped you!
Just find two places where the line passes through a point. For example for number one, it would be (5,4) and (2,3). Then, count how many whole units are between them and then you have slope (rise (up and down) divided by run (side to side)
So, going back to number one, your answer would be 1/3 because you go up one block and over three blocks to get from (5,4) to (2,3). Also, if you look at the line and it is an incline, then it is positive (like number one). But, if the line is a decline, then your slope would be negative (like number three).
I know I didn't give you the answers, but hopefully you understand it better!
