Question

Someone please help!

Answer 1

Hello!

Answer:

`\Large \boxed{\sf CD= 18}`

Explanation:

→ We want to calculate CD.

We know that CD = DE.

→ So we have this equation:

`\sf 3x-6 = 2(x+1)`

→ Let's solve this equation to find the value of x to find CD:

◼ Simplify the right side:

`\sf 3x-6 = 2x+2`

◼ Add 6 to both sides:

`\sf 3x-6+6 = 2x+2+6`

◼ Simplify both sides:

`\sf 3x = 2x+8`

◼ Subtract 2x from both sides:

`\sf 3x-2x = 2x+8-2x`

◼ Simplify both sides:

`\sf x = 8`

→ Now, let's calculate CD, let's replace x by 8:

`\sf CD = 3x-6\\\\= 3 * 8 - 6\\\\= 24 - 6\\\\\boxed{\sf= 18}`

Check:

`\sf CD = DE\\\\3x-6 = 2(x+1)\\\\3 * 8 - 6 = 2(8+1)\\\\24 - 6 = 2 * 9\\\\18=18`

So the check is good.

Conclusion:

CD is equal to 18.