Answer:
B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Since x is the measure of the third angle and all 3 angles are congruent then
All 3 angles have a measure of x
The sum of the 3 angles in a triangle = 180°, this
x + x + x = 180 ← is the required equation
3x = 180 ( divide both sides by 3 )
x = 60
Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
4 tables = 1 group. So in 10 groups of tables, there are 40 tables. Each table seats 8 students, so you multiply 8 by 40, and that leaves your answer as 320 students. :)
gcd = 6 ⋅ d
Step-by-step explanation:
We have that
6
d
^2 = 6 ⋅ d ⋅ d and 18
d = 3 ⋅ 6 ⋅ d hence the gcd = 6 ⋅ d
(Hope this helps <3)
