Find the value of X in the triangle shown below

A

Step-by-step explanation:

This is a right triangle, because of the little square in the corner that represents a right angle.

Therefore, the Pythagorean Theorem can be used.

a^2+b^2=c^2

where a and b are the legs, and c is the hypotenuse

In this triangle, 2 and 10 are the legs, because they form the right angle. x is the hypotenuse, because it is opposite the right angle.

2 and 10 are a and b, and x is c.

2^2+10^2=x^2

Evaluate the exponents on the left side.

4+100=x^2

104=x^2

x is being squared. To reverse this, take the square root of both sides

√104=√x^2

√104=x

A, x=√104 is correct

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

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step-by-step explanation: