Answer:
Slope of Parallel Line: -7
Step-by-step explanation:
A set of parallel lines will ALWAYS have the same slope. Perpendicular lines will have complete opposite slopes, for example, the slope of a line perpendicular to this one would be 1/7. If the slope is positive, the other slope will be negative and vice versa. For perpendicular lines, you also have to flip the fractions.
To solve for the missing steps, let's rewrite first the problem.
Given:
In a plane, line m is perpendicular to line t or m⟂t
line n is perpendicular to line t or n⟂t
Required:
Prove that line m and n are parallel lines
Solution:
We know that line t is the transversal of the lines m and n.
With reference to the figure above,
∠ 2 and ∠ 6 are right angles by definition of <u>perpendicular lines</u>. This states that if two lines are perpendicular with each other, they intersect at right angles.
So ∠ 2 ≅ ∠ 6. Since <u>corresponding</u> angles are congruent.
Therefore, line m and line n are parallel lines.
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<em>ANSWERS: perpendicular lines, corresponding</em>
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3^(-2) = 1/(3^2) = 1/(3*3) = 1/9
The rule used here is x^(-y) = 1/(x^y) to make the exponent positive.
3^2 turns into 3*3 because the exponent 2 tells us how many copies of the base '3' to multiply out.
Answer:
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Step-by-step explanation:
Step-by-step explanation:
