A10ft tall flagple stands next to a tree. the shadow of the flagpole is 17ft and the shadow of the tree is 50ft. what is the height of the tree?

You can solve this problem by writing an equation of ratios and finding the value of the unknown that way:

10 ft 17 ft

*

50 ft x

Then 10x = 850, and so x = 85 feet.

This is a "similar triangle" problem. Set up a ratio comparing the flagpole to the tree as follows and cross multiply to solve for the missing value:

=

=

(10)(50) = (17)(x)

= x

29.4 ≈ x

29.4 ft

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

~

he has 140 chickens because he has 10 times more chickens than ducks and he has 14 ducks so 14*10=140