Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

if a=5x-2 and b=5x-22 , what is the value of x ?

If A5x2 And B5x22 What Is The Value Of X class=

Sagot :

Trigonometry

We are given the following condition:

sin (a) = cos (b)

Since both angles are acute, the following relationship must apply:

a = 90° - b

Both angles must be complementary

Substituting the values for each angle:

a = 5x - 2

b = 5x - 22

We have:

5x - 2 = 90 - (5x - 22)

Removing brackets:

5x - 2 = 90 - 5x + 22

Adding 5x:

5x - 2 + 5x = 90 + 22

Adding 2:

5x + 5x = 90 + 22 + 2

Simplifying:

10x = 114

Dividing by 10:

x = 114/10

x = 11.4

Correct choice: C)

Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.