(25 points) the measure of b is

21

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2

where a and b are the legs and c is the hypotenuse (opposite the right angle)

20^2 +b^2 = 29^2

400 + b^2 =841

Subtract 400 from each side

400-400 +b^2 = 841-400

b^2 = 441

Take the square root of each side

sqrt(b^2) = sqrt(441)

b = 21

21

Step-by-step explanation:

You have a right triangle, so you can use the Pythagorean theorem, where a and b are the lengths of the legs, and c is the length of the hypotenuse.

a^2 + b^2 = c^2

20^2 + b^2 = 29^2

400 + b^2 = 841

b^2 = 841 - 400

b^2 = 441

b = 21

Subtraction Property of Inequality is used to solve the given inequality

Solution:

Given inequality is:

To solve the inequality, subtract 8 on both sides,

We know that,

Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged

Also, by Subtraction Property of Inequality,

If you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well

Thus, Subtraction Property of Inequality is used