Answer:
Step-by-step explanation:
Given the following angle
We want to find angle AOB
∠AOC = 108°
∠AOB = 3x+4
∠BOC =8x−28
Check attachment for understanding
From the attachment, we notice that the sum of angle AOB and angle BOC equals to angle AOC.
∠AOB + ∠BOC = ∠AOC
3x + 4 + 8x —28 = 108
3x + 8x + 4—28 = 108
11x — 24 = 108
11x = 108 + 24
11x = 132
x = 132/11
x = 12°
∠AOB = 3(12) + 4
∠AOB = 36+4
∠AOB = 40°
Extra
∠BOC = 8x−28
∠BOC = 8(12)−28
∠BOC = 96−28
∠BOC = 68°
Its 60 on khan
:)
<em>(-3/5, 29/5) </em>
Given the simultaneous equation;
-3x+4y=25...... 1
y= -3x+4 ..... 2
We are to confirm if (-3, 4) is the solution to the equations;
Substitute equation 2 into 1;
From 1;
-3x+4y=25
-3x + 4(-3x+4) = 25
-3x -12x + 16 = 25
-15x = 25 - 16
-15x = 9
x = -9/15
x = -3/5
Substitute x = -3/5 into equation 2 to get y;
From 2;
y= -3x+4
y = -3(-3/5)+4
y = 9/5 + 4
Find the LCM
y = (9+20)/5
y = 29/5
<em>Hence the solution to the system of equation is (-3/5, 29/5) hereby falsifying Julie's solution.</em>
1000x2x15=30000
30000-1000x15=15000
1000x15x5=75000
75000-1000x5=70000
100x15x15=22500
22500-15x100=21000
Investment of 1000 at 2% simple interest for 15 years will earn the least simple interest
Investment of 1000 at 15% simple interest for 5 years will earn the most simple interest