Answer:
Step-by-step explanation:
So generally a geometric sequence can be defined as: 
which is the explicit form. The r, is what each previous term is being multiplied by to get the next value which is evident in the recursive form: 
. Knowing this we can take two values which are "next" to each other to find what r is. In this case I'll just is 1 and 1/4, given these two values we know that: 
, 1*r is just r... so what each term is being multiplied by is 1/4. So let's plug the values into the explicit formula: 
(I didn't put an a_1 value in front, since it's just 1... so it's a bit redundant). Anyways using this formula we simply plug in 5 as n into the equation to find the 5th term: 
Hey there!
We can solve inequalities just like equations. There is only one difference though. If you ever multiply or divide both sides by a negative number, you "flip" the inequality sign.
First, let's undo the parentheses.
2x-24+24<4x+20
We simplify.
2x<4x+20
We subtract 4x from both sides.
-2x<20
We divide both sides by -2 (we will need to flip the inequality sign).
x>-10
I hope this helps!
The answer I’m getting is 91%
1/2 of its mass and velocity
Answer:
x= 34°
y=5
Because segments AB and BC are congruent, their corresponding angles (<BAD and <BCD) would also be congruent to each other, meaning that both would be 56°.
Knowing that triangles add up to 180°, the whole triangle (ABC) would then have 2 angles that are 56° and the top angle (<ABC) would be 68°
Splitting those in half ( because <ABD and <CBD are congruent), each would be 34° (thus x=34°)
Looking now at the two separate triangles (ABD and CBD), we can determine that both <BDA and <BDC are 90° (right angles) because 180-34-56=90°.
Therefore, since both triangles have all congruent angles, both triangles are the same! So, since segment AD=5, segment CD would also be 5 (y=5).
