3. 8x - 12 + 2x = 68 3. Response area 4. 10x - 12 = 68 4. Response area 5. 10x = 80 5. Response area 6. x = 8 6.

7 answers

Response area
Given : EG = 68 Prove: x = 8 1. EG = 68, EF = 8x-12, FG = 2x 1. Given 2. EF + FG = EG 2. 3. 8x - 12 + 2x = 68 3. Response area 4. 10x - 12 = 68 4. Response area 5. 10x = 80 5. Response area 6. x = 8 6. Response area Skip
Proof:

Given: EG = 68

We are given that EF = 8x - 12 and FG = 2x.

Using the given information, we can write the equation EF + FG = EG:

(8x - 12) + (2x) = 68

Simplifying the equation, we get:

10x - 12 = 68

Adding 12 to both sides of the equation, we have:

10x = 80

Dividing both sides of the equation by 10, we get:

x = 8

Therefore, we have proved that x = 8.
what property is x=8
The statement "x = 8" is the solution to the equation derived from the given information. It is not a property, but rather the value that satisfies the equation.
Complete the following proof. (You may use an answer more than once. You will not use all of the answers)(5 points)Given: 23y = 7x + 15; y = 4 Prove: x = 11 Statements Reasons 1. Response area 1. Given 2. 23(4) = 7x + 15 2.Response area 3.Response area 3. Response area 4. Response area 4. Response area 5. Response area 5. Division Property 6. x = 11 6. Response area
Statements Reasons
1. Given 1. Given
2. 23(4) = 7x + 15 2. Substitution property using y = 4
3. 92 = 7x + 15 3. Simplification
4. 92 - 15 = 7x 4. Subtraction property of equality
5. 77 = 7x 5. Simplification
6. 77/7 = x 6. Division property of equality
7. x = 11 7. Simplification

Therefore, the proof is completed, and we have proven that x = 11.