224k views
2 votes
If a = x+21, b = 4, c = x + 3, and d = 10, then the value of x =

If a = x+21, b = 4, c = x + 3, and d = 10, then the value of x =-example-1

2 Answers

5 votes

Answer:

x=9

Explanation:

(segment piece) x (segment piece) = (segment piece) x (segment piece)

ab = cd

(x+21) *4 = (x+3)*10

Distribute

4x+84=10x+30

Subtract 4x from each side

84 = 10x-4x+30

84 = 6x+30

Subtract 30 from each side

54 = 6x

Divide by 6

54/6 = 6x/6

9=x

User Long Dao
by
8.8k points
0 votes

Using the intersecting chord theorem:

a x b = c x d

x+21 * 4 = x+3 * 10

Simplify:

4x+84 = 10x+30

Subtract 30 from both sides:

4x + 54 = 10x

Subtract 4x from both sides:

54 = 6x

Divide both sides by 6:

x = 9

User Fstab
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories