Answer:
The slope of a line perpendicular to this line is -1/3. The slope of a line parallel to this line would be 3.
Step-by-step explanation:
Perpendicular lines have opposite(sign) and reciprocal slopes.
Parallel lines have the same slope.
Answer:
Actual length of ship is 150 meters.
Step-by-step explanation:
As model ship is built to a scale of
1 centimeter : 5 meters and
length of model ship is 30 centimeters
Actual length of ship is 30
×
5
=
150 meters.
Answer:
x ≈ 77°, y = 103°
Step-by-step explanation:
Using the Sine rule in Δ BCD
= 
( cross- multiply )
2.9sinx° = 4sin45° ( divide both sides by 2.9 )
sinx° = 
, thus
x = 
( ) ≈ 77° ( to the nearest degree )
Since AC and DC are congruent then Δ ACD is isosceles.
Thus the base angles are congruent, that is
∠ ADC = ∠ CAD = y°
x and y are adjacent angles and supplementary, thus
x + y = 180, that is
77 + y = 180 ( subtract 77 from both sides )
y = 103°
The answer is y= -1/2x -2.5
The HA Theorem is a special case of proving that two triangles are congruent.
It states that if both hypotenuses and a pair of acute angles of two right triangles are congruent, then the triangles are congruent.
