The slope of <em>y</em> = 2<em>x</em> - 5 is 2. Parallel lines have the same slope, so the slope of the line through the given points <em>A</em> and <em>B</em> is also 2. This means
(8 - 4) / (6 - <em>n</em>) = 2
Solve for <em>n</em> :
4 / (6 - <em>n</em>) = 2
4/2 = 6 - <em>n</em>
2 = 6 - <em>n</em>
<em>n</em> = 6 - 2
<em>n</em> = 4
Definitely Graph C.
The dots are aligned correctly to the line better than the other graphs.
Answer:
The third choice, (160/3)π cm³
Step-by-step explanation:
The formula for volume of a cone is
V = (1/3)πr²h where r is the radius of the base, and h is the height
Here, r = 4 and h = 10. plug those values in and simplify...
V = (1/3)π(4²)(10)
V = (1/3)π(16)(10)
V = (1/3)π(160)
V = (160π)/3
Triangle Congruence Theorems
Use the triangle congruence theorems below to prove that two triangles are congruent if:
Three sides of one triangle are congruent to three sides of another triangle (SSS: side side side)
Two sides and the angle in between are congruent to the corresponding parts of another triangle (SAS: side angle side)
Two angles and the side in between are congruent to the corresponding parts of another triangle (ASA: angle side angle)
Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle (AAS: angle angle side)
The hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle (HL: hypotenuse leg)
we know that two similar triangles will have ratio corresponding side is same.
ratio triangle 1 is 75m^2.
and triangle 2 is 12m^2.
so we have ratio of area 
.
ratio of perimeter will be 
.
from these perimeter ratio also 
.
