Answer:
C) ∠LMO = 50°
Step-by-step explanation:
When you add the degrees of all the angles in a triangle, you get 180, so...
180 = 60 + 70 + x
180 - 60 - 70 = x
x = 50
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>
<u><em>Answer:</em></u>
70
<u><em>Explanation:</em></u>
Assume that the number we are looking for is x
one tenth is interpreted into 
Now, we know that one tenth of the number is 7, this means that:
* x = 7
Solve for x by multiplying both sides of the equation by 10, we get:
* x * 10 = 7 * 10
x = 70
Hope this helps :)
