The answer to your question is C
Answer:
Angle HAB and Angle FAE are congruent angles
Step-by-step explanation:
we know that
Two angles are supplementary if their sum is equal to 180 degrees
In this problem
m∠FAH+m∠HAB=180° ----> by a linear pair
Remember that
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. A linear pair of angles must add up to 180 degrees
m∠FAH+m∠FAE=180° ----> by a linear pair
therefore
m∠HAB=m∠FAE -----> by vertical angles
Angle HAB and Angle FAE are congruent angles
<h2>X² + 2x = 4</h2><h2 />
When completing the square, the goal is to create
a perfect square trinomial on the left side of the equation.
The number used to create one will come from
half the coefficient of the middle term squared.
In this case, that's half of 2 squared or 1 squared, which is 1.
So we add 1 to both sides giving us x² + 2x + 1 = 5.
From here, we set this as a binomial squared.
The first term is an x and the second term will
be half the coefficient of the middle term squared.
So we have (x + 1)² = 5.
Now square root both sides and remember to use plus or minus.
So we have x + 1 = ±√5.
Now subtract 1 form both sides to get x = -1 ± √5.
We can write an equation in terms of n, the amount of nickels:
25(3n+3)+10(n+1)+5n=265.
Thus:
90n+85=265
Subtracting 85, we have:
90n=180
Therefore, n=2. As such, Danielle has 2 nickels, 3 dimes, and 9 quarters.
4a² − 20a + 25 <span>is a perfect square trinomial
</span>4a² − 20a + 25 =
<span>(2a)</span>² - 2*2a*5 + 5² =
<span>(2a - 5)</span>²<span>
</span>
