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11 votes
11 votes
What is the value of x?
2
3
6
7​

What is the value of x? 2 3 6 7​-example-1
User Rocking Chief
by
3.1k points

2 Answers

7 votes
7 votes

Answer

A.2 edg 2021

Explanation:

User Jared Rummler
by
2.4k points
9 votes
9 votes

Answer:

A. 2

Explanation:

Given:

DC = 1

CE = x + 4

AB = 11

BE = x + 1

Required:

Value of x

Solution:

(DC + CE) × CE = (AB + BE) × BE

(1 + x + 4) × (x + 4) = (11 + x + 1) × (x + 1)

(x + 5) × (x + 4) = (x + 12) × (x + 1)

x² + 4x + 5x + 20 = x² + x + 12x + 12 (distributive property)

x² + 9x + 20 = x² + 13x + 12

Collect like terms

x² - x² + 9x - 13x = - 20 + 12

-4x = -8

Divide both sides by -4

x = -8/-4

x = 2

User Abjurato
by
3.2k points