Answer:
625
Step-by-step explanation:
This is a reoccurring permutation
so it is 5^3
Answer:
x = 14.375
Step-by-step explanation:
Ok, so we know that a triangle has a total interior degree of 180°. And since we already have a 95° angle, we just need to subtract 95 from 180.
180° - 95° = 85°
Now, we already have indicators that two of the three sides are equal. And we already got the angle of the side that does not have a matching partner. So we just need to divide what we already have by 2.
85° / 2 = 42.5°
Now that we know each side is 42.5 degrees, we just need to grab our given equation and put and equal sign at the end with what we already know is the answer (since we are trying to solve for <em>x</em>).
(4x - 15) = 42.5
Now, let's just get rid of those useless parentheses.
4x - 15 = 42.5
Next, we just need to have the variable on its own side, all by itself. So, in order to do that, we just add 15 to both sides.
4x = 57.5
Now, for our final step, we just need to divide each side by our variables' factor (which is a positive 4). In which we get our final answer of:
x = 14.375
Answer:
x = 0 or x = 1
Step-by-step explanation:
Given equation:
Multiply the two denominators to get the same denominator:
Multiply the numerator of the first fraction by the denominator of the second fraction to get the new numerator of the first fraction.
Multiply the numerator of the second fraction by the denominator of the first fraction to get the new numerator of the second fraction.
Add the numerators and keep the denominator so that there is now one fraction:
Simplify the numerator by expanding the brackets:
Simplify the denominator by expanding the brackets:
Multiply both sides by the denominator of the left side:
Simplify and move everything to the left side:
Factor:
Therefore:
Therefore, x = 0 or x = 1
