<h3>
Answer: x = 7</h3>
Explanation:
Segment addition postulate
CD+DE = CE
this basically is the idea of gluing smaller pieces together to get a larger structure. We can go in reverse to break up a large item into smaller bits. This is assuming there is no leftovers, overlaps, or parts wasted/lost.
CD = 9
DE = 3x+6
CE = 36
----
CD+DE = CE
9+3x+6 = 36
3x+15 = 36
3x = 36-15
3x = 21
x = 21/3
x = 7
-----
If x = 7, then
DE = 3x+6 = 3*7+6 = 21+6 = 27
and
CD+DE = 9+27 = 36 = CE
confirming our answer
Answer:
Step-by-step explanation:
we are given
we can simplify left side and make it equal to right side
we can use trig identity
now, we can plug values
now, we can simplify
now, we can factor it
![\frac{(sin(a)+cos(a))[3-4(sin^2(a)+cos^2(a)-sin(a)cos(a)]}{sin(a)+cos(a)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28sin%28a%29%2Bcos%28a%29%29%5B3-4%28sin%5E2%28a%29%2Bcos%5E2%28a%29-sin%28a%29cos%28a%29%5D%7D%7Bsin%28a%29%2Bcos%28a%29%7D%20)
we can use trig identity
![\frac{(sin(a)+cos(a))[3-4(1-sin(a)cos(a)]}{sin(a)+cos(a)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28sin%28a%29%2Bcos%28a%29%29%5B3-4%281-sin%28a%29cos%28a%29%5D%7D%7Bsin%28a%29%2Bcos%28a%29%7D%20)
we can cancel terms
now, we can simplify it further
now, we can use trig identity
we can replace it
so,
Answer:
A≈113.1
Step-by-step explanation:
Answer:
41.6 cm
Step-by-step explanation:
