Answer:
x ≥ 4
Step-by-step explanation:
Start with: 5x - 9 ≥ 11
Add 9 to both sides: 5x - 9 + 9 ≥ 11 + 9
Divide both sides by 5: 
Simplify: x ≥ 4
Since you are not dividing both sides by a negative number, the greater than or equal to sign faces the same direction.
Answer:
m=8
Step-by-step explanation:
-88=-3(4m+5)-(1-3m)
-88=-12m-15-(1-3m) <- Distributive Property
-88=-12m-15-1+3m <- Open () if there is a negative negative the symbol equals positive
-88=-9m-16 <- Simplify
0=-9m+72 <- Add 88 to both sides
9m = 72 <- Add 9m to both sides
9m = 72
/9 /9
m=8
If you would like to know what length of the board was cut off, you can calculate this using the following steps:
12 3/4 feet long board - 9 7/8 feet = 12 3/4 - 9 7/8 = 51/4 - 79/8 = 102/8 - 79/8 = (102 - 79) / 8 = 23/8 = 2 7/8 feet
The correct result would be B) 2 7/8 feet.
Answer:
To find x we use sine
Sine ∅ = opposite/ hypotenuse
x is the opposite
The hypotenuse is 15cm
sin 35° = x / 15
x = 15 sin 35°
x = 8.60
x = 9cm to the nearest tenth
Hope this helps you
