The first two graphs are D) and D).
For the last one (above), the triangles are not congruent (D), because C --> C' doesn't follow the same translation rule as A, B --> A', B'
Answer:
1/3
Step-by-step explanation:
Answer:
<h3>-6</h3>
Step-by-step explanation:
Let the slope of the first line be m1
Let the slope of the second line be m2
If both lines are perpendicular, then;
m1m2 = -1
Get m1, the slope of the line passing through A (-2, 0) and B (2,-k).
m1 = y2-y1/x2-x1
m1 = -k-0/2-(-2)
m1 = -k/4
Get the slope of the line 3y + 2x = 5
Rewrite the equation;
3y = -2x + 5
y = -2/3 x + 5/3
Hence the slope of the line m2 is -2/3
Since m1m2 = -1, then;
-k/4(-2/3) = -1
2k/12 = -1
k/6 = -1
k = -6
Hence the value of k is -6
Set up a ratio of the height and distances:
Let X equal the height of the tower.
1.92 / 0.4 = X / 87.6
Cross multiply:
(1.92 * 87.6) = 0.4x
Simplify:
168.192 = 0.4x
Divide both sides by 0.4:
x = 168.192 / 0.4
x = 420.48 meters tall.
Round answer as needed.
Answer:
Step-by-step explanation:
We need to find the lateral surface area of the cylinder of radius 6 cm and height of 10 cm.
We need to find the lateral surface area of the cylinder. The formula for the lateral surface area of a cylinder is given by :
So, the lateral surface area of the cylinder is .