Which equation represents a line perpendicular to the line shown on the graph?
1 answer:
Answer:
See description below.
Step-by-step explanation:
To choose the correct equation, find the slope of the line on the graph. Identify two points on the line. Then subtract to find their rate of change using the slope formula.
When you know the slope, find the negative reciprocal. For example, if the slope is 2/1 then the negative reciprocal is -1/2. This is the slope of a perpendicular line to a line with slope 2. Choose the equation which has this same slope.
Example:
y = 2x -1
y= -1/2 +5
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Hi there!
Let th' required angle = X
Then,
• Complement of th' angle = 90 - X
• Supplement of th' angle is = 180 - X
According to th' question,
Sum of Complement and Supplement :-
(90 - X) + (180 - X) = 200
⇒ 90 - X + 180 - X = 200
⇒ 270 - 2X = 200
⇒ 2X = 270 - 200
⇒ 2X = 70
⇒ X =
= 35
Hence,
Th' measure of the angle is 35°
~ Hope it helps!
Let th' required angle = X
Then,
• Complement of th' angle = 90 - X
• Supplement of th' angle is = 180 - X
According to th' question,
Sum of Complement and Supplement :-
(90 - X) + (180 - X) = 200
⇒ 90 - X + 180 - X = 200
⇒ 270 - 2X = 200
⇒ 2X = 270 - 200
⇒ 2X = 70
⇒ X =
Hence,
Th' measure of the angle is 35°
~ Hope it helps!
Answer:
Step-by-step explanation:
area of trapezium ABCD
=(16.5+12)/2 \times 15
=(28.5)/2 \times 15
=213.75 cm^2
Area of PQRS
=213.75 \times (\frac{2}{3} )^2\\=213.75 \times\frac{4}{9} \\=95 ~cm^2
area of green portion=213.75-95=118.75 cm²