Answer:
f(x)=5.05 sin((pi/12)x) + 5.15
Step-by-step explanation:
Step-by-step explanation:
( vertically opposite angles)
Option A is true because the sum of angles in a triangle is 180, so we can rule that one out immediately.
We can solve for x for the other 3 options by setting up this equation:
7x+2 + 4x+7 + 8x = 180 | Simplify
19x + 9 = 180 | Subtract 9
19x = 171 | Divide by 19
x=9
Now we can substitute x into all the values:
<J = 7x+2 = 65
<L = 4x+7 = 43
<K = 8x = 72
Looking at the options again, we can see that A, B, and D are true, leaving C to be false.
Answer:
B
Step-by-step explanation:
negative 6 times negative 6 equals 36
Answer: Fran's number is 70
Step-by-step explanation:
Let x represent Jen's number.
Let y represent Carrie's number.
Let z represent Fran's number.
When you add their numbers together you get 207. This means that
x + y + z = 207 - - - - - - - - - -1
Jen's number is 9 more than Carrie's number. It means that
y = x - 9
Fran's number is 3 less than Jen's number. It means that
z = x - 3
Substituting y = x - 9 and z = x - 3 into equation 1, it becomes.
x + x - 9 + x - 3 = 207
3x - 12 = 207
3x = 207 + 12 = 219
x = 219/3 = 73
y = x - 9 = 73 - 9
y = 64
z = x - 3 = 73 - 3
z = 70
