Answer:
m∠APC = 30°
Step-by-step explanation:
To solve for the above question, we would be making use of circle theorems
Looking at the circle, we can see that
m∠APC is an Angle outside the circle
m∠AOC is a smaller arc in the circle.
Therefore, Circle Theorem states that for a circle with two tangents,
The Angle outside the circle + The smaller arc = 180°
Hence,
m∠AOC + m∠APC = 180°
m∠APC = 180° - m∠AOC
m∠APC = 180° - 150°
m∠APC = 30°
c and e are expressions.
b is an equation.
a and d are inequalities.
Expressions are the only ones WITHOUT an 'equals', 'greater', or 'less than'.
( = , > ,. < )
Answer:
1. -7.5
2. $1
3. 40
Step-by-step explanation:
For number 1, it can be solved by using the PEMDAS method, or see explanation below:
6x - 4x - 36 = 6 - 2x
2x - 36= -2x + 6
4x + 36 = 6
4x = -30
x = -15/2 or -7.5
For number 2, substitute 3 into both equations:
f(x) =1.50(3) + 2.00
and
f(x) = 2.00(3) + 1.50
This would get $6.50 and $7.50, which, if subtracted, gets $1.
For number 3, do something similar to the previous problem. Substitute 3 for x. It would be 5(2^3), or 40.
Hope this helps!
Answer:
y = 4
x = -6
Step-by-step explanation:
multiply first equation by 3
3×(5x+4y)= -14 ➡ 15x + 12y = -42
multiply second equation by -5
-5×(3x+6y)= 6➡ -15x -30y = -30
now add both equations up
15x +12y -15x -30y = -42 -30 (15x will eliminate -15x)
-18y = -72
y = 4 use this to find value of x
3x + 6×4 = 6 ➡ ex = -18 ➡ x = -6
He had $104 left to spend.
1. $416/4=$104
2. $104•3=$312
3. $416-$312=$104
