Answer:
FG=30
Step-by-step explanation:
Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:
We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:
Solve for x. On the right, combine like terms:
Subtract 3x from both sides:
So, the value of x is 10.
To find the value of FG, substitute 10 into its x:
Multiply:
Add:
And we're done!
To qualify as a polynomial, the expression in question:
* Consists of one or more terms * Variables are only with positive whole exponents* No variables in the denominator of any term (the coefficients however, can be fractions.)In that case the answer is most likely:
To answer the question we need to know if 35 out of 50 states is equal or greater than 3/4 if that is the case, the Constitution will be ammended, and that is represented like this:
35/50 >= 3/4
that inequality is saying that 35 states out of 50 is equal or greater than 3/4, lets simplify and modify the fractions to compare easily:
<span>35/50 >= 3/4
</span>7/10 <span>>= 3/4
</span>now we need to find the least common multiplier of 10 and 4 to take the fractions to a common denominator and compare easy. Lets multiply numerator and denominator for a correct number to get the fractions to denominator common 20, the lcm:
7/10 <span>>= 3/4
</span>(2/2)(7/10) >= (5/5)(3/4)
2*7/2*10 >= 5*3/5*4
14/20 >= 15/20
we can see that the inequality does not hold, so,
<span>35/50 >= 3/4
</span>does not hold either, therefore the Constitution cannot be ammended
