Triangle Q S R is shown. Angle Q S R is a right angle. Altitude s is drawn from point S to point T on side Q R to form a right angle. Side Q S is labeled r and side W R is labeled q. The length of Q T is 10 and the length of R T is 4. What is the value of q?

4 StartRoot 5 EndRoot
2 StartRoot 14 EndRoot
20 StartRoot 5 EndRoot
64 StartRoot 5 EndRoot

2 StartRoot 14 EndRoot

Step-by-step explanation:

To solve for q, we apply the leg rule theorem :

The hypotenus = 10 + 4 = 14

Leg 1 = q

Part1 = 4

According to the leg rule theorem :

Hypotenus / leg 1 = leg 1 / part 1

14 / q = q / 4

Cross multiply :

q * q = 14 * 4

q² = 56

q = √56

√56 = √4 * √14 = 2√14

$12. that is my answer.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|