The kite is symmetric about line segment BD.
Therefore
AB = BC
3x + 1 = 22
3x = 22 - 1 = 21
x = 21/3 = 7
Similarly,
AD = CD by symmetry
Therefore
4x = CD
4*7 = CD
28 = CD, the required line segment
Answer: 28
Answere: I believe that the answere is C.
Step-by-step explanation:
Well,since the lines A and B are paralel and the line y is not paralel with any of then y and A are not paralel.Plus there is not a line called x in this particular equazion.If you have any questions , please contact me.
Yours sincerely,
Manos
For question number 1:The plot H = H(t) is the parabola and it reaches its maximum in the moment when exactly at midpoint between the roots t = 0 and t = 23. At that moment t = 23/2 or 11.5 seconds.
For question number 2:To find the maximal height, just simply substitute t = 11.5 into the quadratic equation. The answer would be 22.9.
For question number 3:H(t) = 0, or, which is the same as -16t^2 + 368t = 0.Factor the left side to get -16*t*(t - 23) = 0.t = 0, relates to the very start of the process, when the ash started its way up.The other root is t = 23 seconds, and it is precisely the time moment when the bit of ash will go back to the ground.
Answer:
x = 3
Step-by-step explanation:
These angles are vertical angles. Vertical angles equals to on another but on the opposite side. Since they equal to another you do:
(10x + 1) = (12x - 5)
Add 5 on both sides:
10x + 6 = 12x
Subtract 10x on both sides:
6 = 2x
Divide 2 on both sides:
3 = x
Answer:
1.5
Step-by-step explanation:
As the common difference is not same for all terms, the given sequence is a geometric sequence
the standard formula for a geometric sequence is:

The formula to calculate common ratio is:

Dividing the term by previous term
So,
r = 12/8 = 18/12 = 27/18 = 1.5
The value for common ratio will be:
1.5 ..