Answer:
Slope of PQ = 0
Slope of MN = infinity
PQ and MN are perpendicular to each other
Step-by-step explanation:
for any two points (x1, y1), (x2, y2)given in coordinate plane slope is given by
For any line if slope is zero it is parallel to X axis and perpendicular to Y axis
For any line if slope is infinity it is parallel to Y axis and perpendicular to X axis
Also we know X and Y are perpendicular to each other.
Since slope of PQ is zero it is parallel to X axis and perpendicular to Y axis
Since slope of MN is infinity it is parallel to Y axis and perpendicular to X axis.
Thus two lines PQ and MN are perpendicular to each other.
Answer:
Step-by-step explanation:
Qualitative:
Eye colour
Grade level
favourite music group
Quantitive:
Capacity in litres
Height in inches
Number of siblings
48 inches is 4 feet.
36 inches is 3 feet.
The question is asking for the area in square feet of a rectangle that is 4 feet long by 3 feet wide. That area is the product of these dimensions:
(4 ft)×(3 ft) = 12 ft²
Answer:
A = 38°
B = 50.32°
C = 91.68°
a = 8
b = 10
c = 12.77
Step-by-step explanation:
The first thing is to find the angle B, like this:
sin B = b * sin A / a = 10 * sin (38 °) / 8
sin B = 0.77
B = arc sin (0.77)
B = 50.32 °
For angle C, it would be:
C = 180 - 38 - 50.32
C = 91.68 °
Side c, we calculate it like this:
c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)
c = 12.77
Answer:
B) ∠A and ∠B
Step-by-step explanation:
AB is the line segment formed with endpoints at A and B. This means it lies between the angle with vertex at A, ∠A, and the angle with vertex at B, ∠B.
