Answer:
Step 3.
m∠ AEB = m∠ CED .........By Vertical Angles Theorem.
Step-by-step explanation:
Vertical Angles Theorem:
Vertical angle theorem states that vertical angles, angles that are opposite each other and formed by two intersecting lines,are congruent.
If two lines intersect each other we have two pair of vertical opposite angles. As shown in the figure.
Here,
∠ 1 and ∠ 2 are vertical opposite angles and also they are equal.
∠ 3 and ∠ 4 are also vertical opposite angles and also they are equal.
For,
step 3. m∠ AEB = m∠ CED
Therefore, the reason for step 3 of this proof is Vertical Angles Theorem.
Step-by-step explanation:
The center of a circle with 2 end points of a di diameter is the midpoint of the two endpoints.
The formula needed to find the minpoints is
(x,y) = (x2 + x1)/2, (y2 + y1)/2
x2 = 3
x1 = 3
y2 = 0
y1 = -7
midpoint = (3 + 3)/2, (0 - 7)/2
midp[oint = 3,-3.5
The midpoint is the center of the circle. Observe that the signs get changed when entering the values for (x,y)
So far what you have is (x - 3)^2 + (y + 3.5)^2 = r^2
To determine r^2 you need only take the distance from the center to oneof the endpoints.
r^2 = (3 - 3)^2 + (3.5 - 0)^2
r^2 = 3.5^2
r^2 = 12.25
Answer: (x - 3)^2 + (y + 3.5)^2 = 12.25
Answer:
20*20+CD=400+CD
Step-by-step explanation:
Multiply
20
by
20
The algebra tiles show two equal factors. They are (x + 4).
Then, the perfect square is the product of the two equal factors, (x + 4) * (x +4).
That is (x + 4)^2.
Then develop that perfect square to find the constant term.
(x + 4)^2 = x^2 + 8x + 16.
That means that the constant term needed to complete the trinomial is 16.
Answer: 16
