Answer:
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
Step-by-step explanation:
An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.
Begin your proof listing the any information given to you. List as the reason - Given.
Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.
Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
.75 is the answer because it looks like division
6(-5n+7)=0
We simplify the equation to the form, which is simple to understand
6(-5n+7)=0
Reorder the terms in parentheses
+(-30n+42)=0
Remove unnecessary parentheses
-30n+42=0
We move all terms containing n to the left and all other terms to the right.
-30n=0-42
We simplify left and right side of the equation.
-30n=-42
We divide both sides of the equation by -30 to get n.
n=1.4
Hope this helps!
Answer:
37°
Step-by-step explanation:
By definition all internal angles of a triangle add up to 180°
Hence,
98° + 45° + x = 180°
x = 180° - 98° - 45° = 37°
