We can see that the 33 degrees corresponds to angle A (parallel lines) meaning they’re equal.
This means that 33 + 2x = 5x (5x is the exterior angle, so the other two interior angles’ sum must equal to it)
3x = 33
x = 11
A. The distance between the red ant and the black ant is five units.
To represent the red ant,
xr = 3 - t
yr = 2 + 2 t
zr = 6 + 2 t
To represent the black ant,
xb = t/2
yb = 2 + 3 t
zb = 2 + t
To calculate,
at t = 0
xb - xr = -3
yb - yr - 2-2 = 0
zb - zr = 2-6 = -4
Therefore,
d = √(9+16) = √(25) = 5
b. There will be no collision between the two ants.
To calculate,
3 - t = t/2
6 - 2t = t
6 = 3t
t = 2
If t = 2,
2 + 2*2 = 2 + 3*2
I believe the correct answer is true. Inductive reasoning involves applying a general rule to a specific situation. It <span>is a logical process in which multiple premises, all believed true or found true most of the time, are combined to obtain a specific conclusion. Hope this answers the question.</span>
0.05n + 0.1d = 3.10
n + d = 44
d = 44 - n
Substituting to the first equation:
0.05n + 0.1(44 - n) = 3.10
0.05n + 4.4 - 0.1n = 3.10
-0.05n = 3.10 - 4.4
n = 26
Obtaining the value of nickels:
26 * 0.05 = 1.3
Therefore, the value of nickels that Bethany has is $1.30
(-3/8)(+8/15)
Answer will be a negative number. Whenever multiplying a - negative number * a + positive = - negative number.
(-3/8)(+8/15)
Cross out -3 and 15 . Divide by 3. -3/3,=-1 15/3
= -1/5
Cross out 8 and 8. Divide by 8.
8/8= 1 , 8/8= 1
-1/5*1/1= -1/5
Answer : -1/5
