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.
The transformations are
- (b) A vertical shift 16 units downward.
- (d) A horizontal shift 16 units to the right
<h3>How to determine the transformation?</h3>
The functions are given as:
f(x) = x
g(x)= x - 16
When a function is shifted right, the transformation rule is:
(x, y) = (x - h, y)
This means that the transformation is (d) A horizontal shift 16 units to the right
Since the parent function is a base linear function.
The transformation can also be represented as:
(x, y) = (x, k - h)
This gives
g(x)= x - 16
This means that the transformation is (b) A vertical shift 16 units downward.
Hence, the transformations are (b) and (d)
Read more about transformation at:
brainly.com/question/11709244
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Answer:
2 1/2
Step-by-step explanation:
The answer is Division property of equality. This is because at Step 3, you have to divide to get your final answer. It cannot be the other ones because you do not subtract or distribute in step 3.
Answer: the answer would be 64
Step-by-step explanation:
