Answer:
Step-by-step explanation:
The equation shown above does not show the substitution property. Instead, it shows the Addition Property of Equation where 3 is added to both of its sides. This is shown below,
4x - 3 = 7
4x - 3 + 3 = 7 + 3
4x = 10
Answer:
The fourth answer choice is the correct one: 2(x - 3)
Step-by-step explanation:
2x²-18x+36/x-6 should be factored, as follows:
2(x²-9x+18) / (x-6) = 2(x - 3) (x - 6) / (x - 6)
Substituting x = 6 would result in division by zero and is thus not allowed.
Remembering this, we can reduce 2(x - 3) (x - 6) / (x - 6) to 2(x - 3) for x≠6.
Answer:
9) 6.3 units
11) n=6√2 and m=12,
10) m=6√3, n=6
12) 330.6 ft
Step-by-step explanation:
1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.
Let the missing side, which is the hypotenuse be x.
Then





The missing side is 6.3 units to the nearest tenth.
2) This is an isosceles right triangle.
This implies that, the two legs are equal.

The hypotenuse can be found using Pythagoras Theorem.



3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x
From the diagram, the hypotenuse is 12, therefore the other two legs are

and

4) The height of the monument is 115 feet, the hypotenuse is 350.
By Pythagoras Theorem,




Answer:
6/41
Step-by-step explanation:
6 + 7 + 20 + 8 = 41 so that is number of tiles he took. 6 of those were 41 so therefore, the chance is 6/41