Answer:
x = 8
Step-by-step explanation:
If the number 212x5 is a multiple of 3, the sum of the digits needs to be a multiple of 3, so we have:
2 + 1 + 2 + x + 5 = 10 + x
The value of x can be 2, 5 or 8
If the number is a multiple of 11, we have to calculate the first number minus the second, plus the third, minus the fourth... and so on, and the result needs to be a multiple of 11. So we have:
2 - 1 + 2 - x + 5 = 8 - x
x needs to be 8, so we have 8 - 8 = 0, that is a multiple of 11.
So the value of x is 8.
Answer:
a) 2/2 + 2/2 = 2
b) 2/2 + 1/2 = 3/2
c) 2/2 + 0/2 = 1
d) 0/2 + 0/2 = 0
Step-by-step explanation:
a) 2 points : 2/2 + 2/2 = 2
if henry wins both games than we get probability =2
b) 1 1/2 or 3/2 : 2/2 + 1/2 = 3/2
if henry wins one game and tie another game we get probability =3/2
c) 1 point: 2/2 + 0/2 = 1
if henry wins one game and loose second game, we get probability 1
d) 0 points: 0/2 + 0/2 = 0
if henry loose both games we get probability 0
Answer:
11. AW║BY
12. DX║YZ
13. AW║YZ
14. AW║DZ
Step-by-step explanation:
11. If alternate interior angles are congruent, the lines the transversal crosses are parallel.
12. The sum ∠5+∠6 is an alternate interior angle with ∠10. The reasoning of problem 11 applies.
13. If same-side interior angles are suppplementary, the lines the transversal crosses are parallel.
14. Lines perpendicular to the same line are parallel.
Since b = 3 the equation changes
5a - 10(3) = 45
5a - 30 = 45
(Add 30 to both sides)
5a = 75
Divide 5 to both sides
a = 15
