Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

I need help with this

I Need Help With This class=

Sagot :

AD = 2x -4 = 2times 32 -4 = 60

the answer is 60, hope I helped u!

s1m1

Answer:

AD = 60

Step-by-step explanation:

→If DE ║ AB is given , then ∠E ≅∠B  and ∠D ≅ ∠A ( corresponding angles are congruent) there for ΔCDE ≈ ΔCAB ( because of the AA similarity theorem.)

→Since ΔCDE ≈ ΔCAB then their sides are in proportion so we write the proportions:

CD / CA = CE / CB

→substitute the sides with what is given in the picture, and find x so we can further find AD.

5x / 5x+2x-4 = 8x / 8x+3x, combine like terms

5x / 7x-4 = 8x / 11x, cross multiply

5x * 11x = 8x *(7x-4), multiply and distribute multiplication over subtraction

55x² = 56x² - 32x, subtract 56x² and add 32x to both sides of the equation

55x² - 56x² +32x = 0, combine like terms

-x² +32x = 0, factor -x

-x(x-32) = 0, so there are 2 possibly situation

→ Find x then substitute in AD = 2x-4 to find AD

-x = 0  so x = 0, will give us AD = 2x-4 = 2*0 -4 = -4, we reject this solution because a length can not be negative

x-32 = 0 so x= 32, will give us AD = 2x -4 = 2*32 -4 = 64 -4 = 60.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.