PLEASE HELP ME ASAP THIS IS DUE TONIGHT!!!!
1 answer:
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Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be perpendicular, their slopes have to be negative reciprocals of each other (flip the sign +/- and the fraction/switch the numerator and the denominator)
For example:
Slope = -2 or
Perpendicular line's slope: (flip the sign from - to +, and flip the fraction)
Slope =
Perpendicular line's slope = or -3 (flip the sign from + to -, flip fraction)
y = 8x - 2 The slope is 8, so the perpendicular line's slope is .
Now that you know the slope, substitute/plug it into the equation:
y = mx + b
To find b, plug in the point (-5, -6) into the equation, then isolate/get the variable "b" by itself
(Two negative signs cancel each other out and become positive)
Subtract 5/8 on both sides to get "b" by itself
(To combine fractions, they need to have the same denominator, so multiply -6 by 8/8 so that they will have the same denominator)
= b Now combine the fractions
Answer:
2) ∠SDH and ∠SDT are right angles because SD ⊥ HT.
3) as it is given in the question.
4) is the reflexive property.
5) ΔSHD ≅ ΔSTD by RHS congruency.
Step-by-step explanation:
Given in the question:
In ΔSHD and ΔSTD
(Given)
(SD ⊥ HT)
(Common)
Therefore, (By RHS rule)
Reflexive property of congruency is defined as the property in which something is equal to itself. Hence, the reflexive property of these two triangles is