Answer:
x = -3
Step-by-step explanation:
3x + 9 = 12x + 36 (rewrite)
3x - 12x + 9 = 36 ------> 3x - 12x = 36 - 9
3x - 12x = 36 - 9 (collect like terms)
-9x = 36 - 9 ( substract)
-9x = 27 (divide both sides for the answer)
-9 -9
x = -3
Answer:
cubic units
Step-by-step explanation:
Given the cylinder has a base radius of 10 units.
And slant length of 26 units.
The formula for volume of an oblique cylinder is 
Where 
is the radius and 
is the height of cylinder.
We will now find height of cylinder using following equation.
Now, the volume of cylinder would be
cubic units
I wanna say the last one is correct not sure about the others . :\
Answer: A
a quadrilateral with all four angles right
Step-by-step explanation:
A quadrilateral is a rectangle if a quadrilateral has all four angles right,
a parallelogram with congruent sides
a quadrilateral with diagonals that are congruent and bisect each other
a quadrilateral with all congruent angles. Because a rectangle possesses 2 pairs of parallel sides, 4 right angles at 90°. It has opposite sides which
are parallel and congruent. And all its angles are congruent.
But a quadrilateral with all four angles right is a description that does NOT guarantee that a quadrilateral is a rectangle. Because this description is also applicable to a square.
Answer:
First term a = 41
Step-by-step explanation:
Arithmetic Progression:
Common differences d = -2
![S_{n}=\frac{n}{2}(2a+[n-1]d)\\\\S_{20}=\frac{20}{2}(2a+19*[-2])\\\\](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%282a%2B%5Bn-1%5Dd%29%5C%5C%5C%5CS_%7B20%7D%3D%5Cfrac%7B20%7D%7B2%7D%282a%2B19%2A%5B-2%5D%29%5C%5C%5C%5C)
= 10*(2a - 38)
= 10*2a - 10*38
=20a - 380
![S_{22}=\frac{22}{2}(2a+21*[-2])\\\\](https://tex.z-dn.net/?f=S_%7B22%7D%3D%5Cfrac%7B22%7D%7B2%7D%282a%2B21%2A%5B-2%5D%29%5C%5C%5C%5C)
= 11 (2a -42)
=11*2a - 11*42
= 22a - 462
22a - 462 = 20a - 380
22a = 20a - 380 + 462
22a = 20a + 82
22a - 20a = 82
2a = 82
a = 82/2
a = 41
First term a = 41
