Choice 1. He did not square 40, he just multiplied by 2.
Step-by-step explanation:
Step 1:
According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The hypotenuse measures c cm while the other sides are 40 cm and 9 cm each.
Step 2:
According to the Pythagorean theorem,




This is the correct solution to the given problem. Hans did not square 40, he just multiplied by 2. Which is the first option.
Answer: y + 4 = -3(x+1)
Step-by-step explanation:
We need to rewrite in form of y=mx+b.
3x+y=5
y = -3x + 5
The slope is -3.
In addition, the slope of two parallel line would be equal, the slope of the line would be -3.
y- y1 = m(x- x1)
y- (-4) = -3(x - -1)
y + 4 = -3(x+1)
36 of them did not have an umbrella because out of 11 people, 4 did not bring an umbrella.
Consider the triangle (<em>in </em><em>which </em><em>angle</em><em>4</em><em> </em><em>is </em><em>present</em>)
by angle sum property,
20 + 40 + angle4 = 180
60 + angle4 = 180
angle4 = 180 - 60
angle4 = 120
Also,
angle2 = 120 (vertically opposite angles)
angle1 + angle2 = 180 (linear pair)
angle1 + 120 = 180
angle1 = 180 - 120
angle1 = 60