Answer:
Options B and D are true.
Step-by-step explanation:
See the diagram attached.
Line a and b are parallel and line c is not parallel to them.
There is a transverse line and this line forms the angles 1 to 12.
Now, option A gives ∠ 8 + ∠ 10 = 180° which can not be true as line c is not parallel to line b.
Option B gives ∠4 + ∠ 6 = 180° which is true because line a is parallel to line b and ∠ 4 and ∠ 6 are interior supplementary angles.
Option C gives ∠ 1 + ∠ 11 = 180° which can not be true as line c is not parallel to line a.
Option D gives ∠3 + ∠ 5 = 180° which is true because line a is parallel to line b and ∠ 3 and ∠ 5 are interior supplementary angles.
Therefore, options B and D are true. (Answer)
Answer:
c^10/d^10
Step-by-step explanation:
c^-6 d^4
-----------------
c^-16 d^14
We know that a^b/a^c = a^ (b-c)
c^(-6- - 16) d^ (4-14)
Simplifying
c^(-6-+ 16) d^ (4-14)
c^10 d ^ -10
The negative exponent goes in the denominator
c^10/d^10
Answer:
Well to start out you have 5 reindeer. If you glue Lancer and Ezekiel together you only have 4 units to arrange in different orders. That number is 24. But for each of those, Lancer and Ezekiel can be arranged in two ways... with Lancer in front of the pair or in the back of the pair. So altogether there are 48 ways to arrange the five reindeer with Lancer and Ezekiel always being together.
So the problem is
and you need to find x.
You can find x by taking fourth root of 256. The easiest way is to use your calculator. On my scientific calculator, it is 2nd then the button ^ that is
![\sqrt[x]{}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bx%5D%7B%7D%20)
You get the answer of 4.
Answer: Student tickets sold= 1,035 Adult tickets sold= 400
Step-by-step explanation: S=1035 Number of student tickets
A+S=1435
A+1035=1435
A=1435-1035
A=400 Number of adult tickets
PROOF:
5*400+1035*1.50=3552.50
2000+1552.50= 3552.50
3552.50= 3552.50
