Answer:
Let me know if you want more explanation
Step-by-step explanation:
Alright, to solve for x we need 2 angles that are congruent or equal.
I'm going to use the two we will need later. KLN and MNL
Now to find x ^^

Now we just need to plug it into each angle. I'm going to show you them separately.


should be right now.
We know that
surface area smaller figure=scale factor²*surface area larger figure
scale factor=√[surface area smaller figure/surface area larger figure]
scale factor=√[4/9]-----> scale factor=2/3
so
volume smaller figure=scale factor³*volume larger figure
volume smaller figure=(2/3)³*216----> (8/27)*216----> 64 in³
the answer is
the volume of the smaller figure is 64 in³
Step-by-step explanation:
the typical line equation is
y = ax + b
a is the slope. it is the ratio of "y coordinate change / x coordinate change".
b is the y-intercept (the y value when x = 0) indicating the point, where the line crosses the y-axis.
going from one to the other point
x changes by +8 (from -6 to 2).
y changes by +4 (from 3 to 7).
so, the slope a is +4/+8 = 1/2.
the semi-finished equation is
y = 1/2 x + b
for b we use one of the points in the equation and since for b. let's go for (2, 7) :
7 = 1/2 × 2 + b = 1 + b
6 = b
so, the full equation is
y = 1/2 x + 6
A.
If you roll up the quarter circle and cap the open end with the smaller circle, the resulting shape should be a cone.