Answer:
When solving for x, answer = 
When solving for a, answer = 
Step-by-step explanation:
24 + 5x = -x + 6(5a - 4)
Start by multiplying 6 by the values in the parenthesis
24 + 5x = -x + 30a - 24
Add 24 to both sides of the equation
48 + 5x = -x + 30a
Add 1x to both sides of the equation
48 + 6x = 30a
Subtract 48 from both sides of the equation
6x = 30a - 48
Divide both sides of the equation by 6
x = 5a - 8 (Answer when solving for x)
Add 8 to both sides of the equation
x + 8 = 5a
Divide both sides of the equation by 5
a = 1/5x + 8/5 (Answer when solving for a)
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When solving for x, answer =
When solving for a, answer =
Hope this helps :)
Answer:
C and B
Step-by-step explanation:
The correct option is option B and C. The necessary condition to prove that the opposite angles of a parallelogram are congruent:
C. Angle Addition Postulate.
B. Opposite sides are congruent
Answer:
there is no collision between the particles
Step-by-step explanation:
for the first particle
x1=3sin t, y1 = 2 cos t, 0 ≤ t ≤ 2π
for the second particle
x2 = -3 + cos t, y2 = 1 + sin t, 0 ≤ t ≤ 2π
then for the collision
x1=x2 → 3*sin t = -3 + cos t → sin t= -1 + (cos t)/3→ 1+ sin t = (1/3)cos t
y1=y2 → 1 + sin t = 2 cos t → (1/3)cos t = 2 cos t →(1/3) = 2
since 1/3 ≠ 2 there is no collision between the particles
Answer:
28, 30, 32
Step-by-step explanation:
Three consecutive even numbers are three even numbers that are next to each other. For example, 2, 4 and 6 would be 3 consecutive even numbers.
With this sort of problem, you want to try to let each number be equal to one thing and then construct the same number of equations as you have variables:
Let's let,
Integer 1 = X
Integer 2 = Y
Integer 3 = Z
X + Y + Z = 90
We also know, that
Y = X + 2
And that
Z = X + 4
Now, we can sub these equations into the first equation. We do this so that we have everything represented as the same variable.
90 = X + (X+2) + (X+4)
90 = 3X + 6
84 = 3X
28 = X
So, the numbers are 28, 30 and 32
45
15 is a multiple of 3
30 is a multiple of 3
45 is NOT a multiple of 3
60 is a multiple of 3
Ect.
