Could 10.6\text{ cm}, 5.6\text{ cm},10.6 cm,5.6 cm,10, point, 6, start text, space, c, m, end text, comma, 5, point, 6, start text, space, c, m, end text, comma and 4.0\text{ cm}4.0 cm4, point, 0, start text, space, c, m, end text be the side lengths of a triangle?

A triangle cannot be formed with given side lengths.

Step-by-step explanation:

Given:

First side = 10.6 cm

second side = 5.6 cm

third side = 4.0 cm

We need to find whether these data can be the side lengths of the triangle.

Solution:

Now we know that;

By triangle Inequality property which states that;

"The sum of two side of the triangle must be greater than third side."

All the three condition must be fulfilled.

So checking for all three conditions we get;

1) First side + Second side > Third side

Hence this condition is True.

2) Second side + Third side > First side

Hence this condition is False.

3) Third side + First side > Second side.

Hence this condition is True.

1 out of 3 condition is False and according to triangle property all 3 condition must be True.

Hence a triangle cannot be formed with given side lengths.

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

~

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet