Answer:
a. 156°
Step-by-step explanation:
The marked angle at P is the average of the arcs intercepted:
((13x)° + (5x+10)°)/2 = (10x -7)°
(18x +10)/2 = 10x -7 . . . . simplify a bit
9x +5 = 10x -7 . . . . . . . . simplify more
9x +12 = 10x . . . . . . . . . . add 7
12 = x . . . . . . . . . . . . . . . . subtract 9x
Now, use this value to find (13x)°.
13x° = 13(12)° = 156° . . . measure of arc DC
Billy bob tanley here people
Answer:
6/12
1/2
Step-by-step explanation:
First, we need to find how many multiples of three there are, and how many numbers less than three there are on a 12 sided die.
Multiples of 3: 3, 6, 9 ,12
Less than 3: 2, 1
When calculating the probability of rolling a number, the actual number is arbitrary- instead, you need to know how many of numbers exist to fit the requirements. In this case, it's 6 total. Since there's 12 possibilities on a 12 sided die, the probability would be 6 out of 12. You could also simplify the fraction, but both are equivalent.
I hope this helps!
Answer:
AC = DB (Proved)
Step-by-step explanation:
Here, in the triangle ADE
AB = DC (Given)
Now, by EUCLID's LEMMA
If equals are added to equals, the sum are equal.
⇒ AB + BC = DC + BC
or, AC = DB
Hence Proved!