Answer:
-10; no
Step-by-step explanation:
<h2>
-4*3 + 9*2 + 8*-2 = -10</h2><h2>
</h2><h2>
-10 does not equal 0 so it is not perpendicular</h2>
Answer:
x = 12
Step-by-step explanation:
Angle 1 = 8x - 17
Angle 2 = 5x + 19
These are congruent which means they are the same so the equation is:
8x - 17 = 5x + 19
3x - 17 = 19
3x = 36
x = 12
Answer:
1 : 1
Step-by-step explanation:
When a circle is inscribed in a cylinder, the height of the cylinder is equal to the diameter of the sphere and the radius of the cylinder is same as that of the sphere.
Let the radius of sphere is r.
height of cylinder, h = 2r
radius of cylinder = r
Surface area of sphere, A = 4πr²
lateral surface area of cylinder, A' = 2 πrh
A' = 2πr x 2r = 4πr²
The ratio of surface area of sphere to the lateral surface area of cylinder is 1 : 1.
Answer:
There will be 2 numbers of individual bags of chocolates left with Missy.
Step-by-step explanation:
Missy bought 4 bags of chocolates and there are 8 pieces of chocolates in each bag.
Therefore, there was a total (4× 8) = 32 chocolates.
Now, her kids ate 6 of the chocolates.
So, there remains (32 - 6) = 26 chocolates left.
If Missy packed the remaining chocolates into individual bags with 13 chocolates in each bag, then there will be 
numbers of individual bags of chocolates left with Missy. (Answer)
