In AABC, m LACB 90°, CD I AB and m LACD -45°. Find:
Find CD, if BC = 3 in
459
B В
D

CD = (3√2)/2 = 2.12 in.

Step-by-step explanation:

Reference angle = m<BCD = 45°

Hypotenuse = BC = 3 in.

Adjacent side = CD = ??

Apply trigonometric ratio

Cos(45) = CD/3

Multiply both sides by 3

3*Cos(45) = CD

3*√2/2 = CD (cos 45 = √2/2)

(3√2)/2 = CD

CD = (3√2)/2 = 2.12

.there can be infinite values of m and n that can satisfy the above equation. for each value of m of m or n. there maybe infinite sets of solution for the above

step-by-step explanation:

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9