Answer:
The proof is derived from the summarily following equations;
∠FBE + ∠EBD = ∠CBA + ∠CBD
∠FBE + ∠EBD = ∠FBD
∠CBA + ∠CBD = ∠ABD
Therefore;
∠ABD ≅ ∠FBD
Step-by-step explanation:
The two column proof is given as follows;
Statement
Reason
bisects ∠CBE
Given
Therefore;
∠EBD ≅ ∠CBD
Definition of angle bisector
∠FBE ≅ ∠CBA
Vertically opposite angles are congruent
Therefore, we have;
∠FBE + ∠EBD = ∠CBA + ∠CBD
Transitive property
∠FBE + ∠EBD = ∠FBD
Angle addition postulate
∠CBA + ∠CBD = ∠ABD
Angle addition postulate
Therefore;
∠ABD ≅ ∠FBD
Transitive property.
Answer: 350 adult tickets
Step-by-step explanation:
(omg I remember this question!)
- a stands for the number of adult tickets sold
student tickets : a + 65
<em>the equation for the prob: </em>
765 = a + (a + 65)
<em>solve:</em>
combine 'like terms'
1.) 765 = a + a + 65
2.) 765 = 2a + 65
<u>- 65 - 65 </u>
700= 2a
divide by 2
700/2 = 2a/2
<em>(700/2 = 350) </em>
<em>(the "2" in 2a is cancelled out by the other 2)</em>
<u>350 = a </u>
Any number that is less than 2 will work. It is impossible to find the square root of a negative number (you can only get imaginary number) since anything square is a positive number.
PS. If you are confused by the answer, just ask me.
Step-by-step explanation:
Congruent means the same. You can prove that the two triangles are congruent by the measurements and also if they look the same. You can also see if parallelograms are congruent by seeing if they are the same. They also have to mirror the image of the other. Your welcome :)

<em>We choose any values of x and calculate the value of y</em>

<h3>Answer: (-4, 1), (-1, 2), (2, 3).</h3>