Answer:
Angle-Angle-Side (AAS)
Step-by-step explanation:
Given triangles; ΔABD and ΔCBD
<A = <C = 
(right angle property)
AB ║ DC (given)
Then,
DA ║ CB
<B ≅ <D (congruent property)
DB ≅ BD (similarity property)
<D + <B = <B + <D (complementary angles, and property of triangles)
Therefore by Angle-Angle-Side (AAS),
∆ABD ≅ ∆CBD
Answer: positive
The absolute value of every nonzero integer is a positive integer.
Examples are
|-2| = 2
|7| = 7
The absolute value represents distance which can never be negative. Negative distance does not make sense.
Answer:
3/5 c
Step-by-step explanation:
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Answer:
x = 15.4
Step-by-step explanation:
Because this is a right triangle, you can use the pythagorean theorem to find the length of the hypotenuse. the theorem is a^2 + b^2 = c^2
so
9^2 + 12.5^2 = c^2
solving this will give you 15.4
Answer:
Step-by-step explanation:
Since we're looking at perpendicular lines, the slope of the new line is the reciprocal of the original line.
So the slope of our new line is 
So far, we are looking at 
Now we need to find the b value by plugging in the given point.
So the final equation is
