Answer: 8 feet
Step-by-step explanation:
Draw a right triangle and label the sides using the given information. (Drawing below) Use pythagorean theorem to find the missing length:
a^2 + b^2 = c^2
(building)^2 + (missing piece)^2 = (ladder)^2
6^2 + x^2 = 10^2
36 + x^2 = 100. subtract 36
x^2 = 64. square root of both sides
x = 8
1) The expressions are not equivalent. When you expand and multiply 2(x + 3) it becomes 2x + 6. This is not equal to 3x + 5
2) They are equivalent. Again, expand and multiply the second expression. 2(3n + 4) becomes 6n + 8. This makes both sides equal.
3) They are equivalent. In the parentheses, you are adding 3 y's and a 2. This gives you 3y + 2. Now add the additional 3y that follows the closed parentheses. You'll have 6y + 2. Now both sides are equivalent.
8x-9y=11
Add 9y to both sides
8x = 11 + 9y
Subtract 11 on both sides
8x - 11 = 9y
Divide 9 on both sides
Answer:
= 9
Step-by-step explanation:
We need to find
which will make an equivalent fraction statement.

5 x 6 = 30
x 6 = 54 (to find
we should do 54 ÷ 6 which = 9)
So:

= 9
hope this helps :)