3x + 9 = 90
3x = 90 - 9 = 81
x = 81/3 = 27
x = 27
The way I like to figure out problems like this is to write it out like,
1/10 = x/6000
(One over ten equals x over 6000)
Then you find out how much you multiplied 10 by to get 6000. To do this you can divide 6000 by 10 getting 600. The rule "what you do to the bottom you have to do to top" in this equation. So since you multiplied the bottom by 600 you have to multiply the top by 600 as well. 600 times 1 is just 600.
So your answer is, 600 is 1/10 of 6000.
Hope this helps and isn't too confusing.
The missing steps are each right angles and 
.
Solution:
Step 1: Given data:
Step 2: In the two polygons,
and 
(Each right angle)
Step 3: Given
Step 4: By third angle theorem,
If two angles in one triangle are congruent to the two angles in the other triangle, then the third angles in the triangles also congruent.
Step 5: By the definition of congruent polygons,
If two same shape polygons have all the angles are congruent and all the corresponding sides are congruent then the polygons are congruent.
Hence 
.
Therefore the missing steps are each right angles and .
Answer:
The expected value is $3.95
Step-by-step explanation:
Here, we want to get the expected value
Mathematically, what we have to do here is to multiply each of the probabilities by the pay out value, before we proceed to add up
We have this as;
0(0.5) + 0.2(5) + 0.15(8) + 10(0.1) + 15(0.05)
= 0 + 1 + 1.2 + 1 + 0.75 = 3.95
2x+3x= 5x
5-7= -2
so its 5x-2 since all like terms are added
