A Christmas tree is supported by a wire that is 9 meters longer than the height of the tree. The wire is anchored at a point whose distance from the base of the tree is 41 meters shorter than the height of the tree. What is the height of the tree

The height of the tree is 80 meters.

Step-by-step explanation:

Let the height of the Christmas tree be x meters.

Then the length of the wire will be, (x + 9) meters.

And the wire will (x - 41) meters away from the base of the tree.

Consider the diagram below.

Use Pythagoras theorem to solve for x as follows:

The value of x is either 80 or 20.

If x = 20, then the base CB will be -21. This is not possible as length is always positive.

Thus, the value of x is 80.

Hence, the height of the tree is 80 meters.

5050 i think

step-by-step explanation:

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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