The intercepts represent the points where the graph touches the axis the given. With that said, your y intercept is (0, -3) and the x intercept is (-1,0).
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X = first film....y = second film
x + y = 132
x = 2y - 3
2y - 3 + y = 132
3y - 3 = 132
3y = 132 + 3
3y = 135
y = 135/3
y = 45......so the 2nd film lasted 45 minutes
x = 2y - 3
x = 2(45) - 3
x = 90 - 3
x = 87 <=== the first film lasted 87 minutes
The answer is -48 because there is a 4/8 difference and that equals -24. Multiply by 2 and you have your answer.
Answer:
(A)EF corresponds to E'F'
(C)∠EDG Is-congruent-to ∠E'D'G'
(D)∠DEF Is-congruent-to ∠D'E'F'
(F)The transformation is a rigid transformation.
Step-by-step explanation:
Given:
- Parallelogram DEFG is mapped to D'E'F'G'
- DEFG and D'E'F'G' have identical side lengths and angle measures.
The following applies:
- EF corresponds to E'F'
- ∠EDG Is-congruent-to ∠E'D'G'
- ∠DEF Is-congruent-to ∠D'E'F'
Now, a rigid transformation is a transformation of the plane that preserves length. Since the two parallelograms have identical side lengths:
- The transformation is a rigid transformation.
Note that a reflection is an isometric transformation. Therefore the statement "The transformation is not isometric" is INCORRECT.
FG and GD are adjacent sides, therefore they may not necessarily be congruent. Thus FG does not corresponds to G'D'
