Answer:
Triangles always have 180°, split in some manner between the three angles. With two of the three angles given, you can set up a relatively simple equation, where the third angle is assigned to the variable x:
45°+85°+x=180°
130°+x=180°
x=50°
Answer:
4.837
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Since triangles ABC and ADE are similar by AA (they share angle A and a right angle), their ratio of sides must be equal. Therefore:
Multiply both sides by 2:
Multiply both sides by x+2:
Subtract 2 from both sides:
Hope this helps!
Answer:
26880 ways
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Step-by-step explanation:
Given
Required
Determine the number of ways 3 toppings and 3 cheese can be selected
The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.
This can be done in 
ways
For the toppings:
3 can be selected from 10 in 
ways
For the cheeses:
3 can be selected from 8 in 
ways
Total number of selection is:
Apply combination formula:
<em>Hence, there are 26880 ways</em>
As for this problem, it is needed to come up with an equation to represent the situation.
In this case, the simplest one would be this:
x + y = 38
Let us establish that we need to solve for x first to get the y (no matter which you solve first, you get the second one by using the first one)
To do this, we substitute y with this equation:
x + 2 = y
Then, substitute y with the equation. It should look like this:
x + (x + 2) = 38
Now all you have to do is solve.
2x = 36
----------
2
x = 18
Then get they value of y
x + 2 = y
18 +2 = y
20 = y
So the answer for the ages of the daughters would be 18 and 20.
NOTE:
you can also use the equation
x - 2 = y instead of x + 2 = y
This will give you a value of 20 for x instead of 18 and 18 for y instead of 20. Either way, 18 and 20 will be the answer.
